Source Code

This is an attempt to recreate Luminary 99 Rev 2, otherwise known as LUM99R2, from Luminary 99 Rev 1 and ephemeris data from Luminary 116. The differences are confined to the last 10-12 lines of the CONTROLLED CONSTANTS. Luminary 99 Rev 1 source-code was transcribed from a printout in the MIT Museum, while Luminary 116 source code was transcribed from a printout belonging to Don Eyles. AGC developer James Kernan, the "rope mother" for the Apollo 11 Lunar Module's AGC, explains as follows: "At the last minute, Dan Lickly, our chief engineer, appeared with ephemerides updates and it took two tries to get it right. The result was that we created Lum99 Revision 1 and Lum99 Revision 2." It is suspected that the former is what's in the MIT Museum, and the latter is what we are trying to recreate here. As for which revision actually flew in Apollo 11, all of the other available surviving evidence points to Rev 1 rather than to Rev 2, so we're just not sure!

048590,000002:                                                                                                  ## Copyright:   Public domain.
048591,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
048592,000004:                                                                                                  ## Purpose:     Part of the source code for Luminary 1A build 099.
048593,000005:                                                                                                  ##              It is part of the source code for the Lunar Module's (LM)
048594,000006:                                                                                                  ##              Apollo Guidance Computer (AGC), for Apollo 11.
048595,000007:                                                                                                  ##
048596,000008:                                                                                                  ## Assembler:   yaYUL
048597,000009:                                                                                                  ## Contact:     Jim Lawton <jim DOT lawton AT gmail.com>
048598,000010:                                                                                                  ## Website:     www.ibiblio.org/apollo.
048599,000011:                                                                                                  ## Pages:       1159-1204
048600,000012:                                                                                                  ## Mod history: 2009-05-28 JL   Started updating from page images.
048601,000013:                                                                                                  ##              2009-06-02 JL   Finished updating from page images.
048602,000014:                                                                                                  ##              2010-12-31 JL   Fixed page number comments.
048603,000015:                                                                                                  ##              2016-12-17 RSB  Proofed text comments with octopus/ProoferComments
048604,000016:                                                                                                  ##                              and corrected the errors found.
048605,000017:                                                                                                  ##              2017-01-28 RSB  WTIH -> WITH and WHCIH -> WHICH.
048606,000018:                                                                                                  ##              2017-03-03 RSB  Snapshot of Luminary 99 Rev 1. 
048607,000019:                                                                                                  ##              2017-03-14 RSB  Comment-text fixes noted in proofing Luminary 116.
048608,000020:                                                                                                  ##              2017-03-15 RSB  Comment-text fixes identified in 5-way
048609,000021:                                                                                                  ##                              side-by-side diff of Luminary 69/99/116/131/210.
048610,000022:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified in diff'ing
048611,000023:                                                                                                  ##                              Luminary 99 vs Comanche 55.
048612,000024: 

Page 1159

048614,000026:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION     DATE - 1 SEPTEMBER 1967
048615,000027:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048616,000028:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048617,000029: 
048618,000030:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048619,000031:                                                                                                  #        THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
048620,000032:                                                                                                  #  INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
048621,000033:                                                                                                  #  5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
048622,000034:                                                                                                  #  RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
048623,000035:                                                                                                  #  INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
048624,000036:                                                                                                  #  EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
048625,000037:                                                                                                  #  THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
048626,000038:                                                                                                  #  DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
048627,000039:                                                                                                  #  TINES APPROPRIATELY.
048628,000040: 
048629,000041:                                                                                                  #        DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
048630,000042:                                                                                                  #  BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
048631,000043:                                                                                                  #  DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
048632,000044: 
048633,000045:                                                                                                  #  RESTRICTIONS -
048634,000046:                                                                                                  #        THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
048635,000047:                                                                                                  #  LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
048636,000048:                                                                                                  #  TORIES COULD BE HANDLED.
048637,000049: 
048638,000050:                                                                                                  #        SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
048639,000051:                                                                                                  #  THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
048640,000052:                                                                                                  #  TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
048641,000053: 

Page 1160

048643,000055:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                       DATE - 11 OCTOBER 1967
048644,000056:                                                                                                  #  MOD NO. -1                                                    LOG SECTION - CONIC SUBROUTINES
048645,000057:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
048646,000058:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
048647,000059:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON:  SUPPRESSION OF X-MODULO-ING
048648,000060:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON:  CLEAR OVFIND AT KEPLER ENTRY
048649,000061: 
048650,000062:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048651,000063:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
048652,000064:                                                                                                  #  BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
048653,000065:                                                                                                  #  SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON.  THE
048654,000066:                                                                                                  #  USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
048655,000067:                                                                                                  #  INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
048656,000068:                                                                                                  #  TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
048657,000069: 
048658,000070:                                                                                                  #        IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
048659,000071:                                                                                                  #  EXTRAPOLATING THE POSITION BACKWARD IN TIME.
048660,000072: 
048661,000073:                                                                                                  #        IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
048662,000074:                                                                                                  #   MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
048663,000075: 
048664,000076:                                                                                                  #  THE RESTRICTIONS ARE -
048665,000077:                                                                                                  #        1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
048666,000078:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
048667,000079:                                                                                                  #           ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048668,000080: 
048669,000081:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
048670,000082:                                                                                                  #  GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
048671,000083:                                                                                                  #  FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
048672,000084: 
048673,000085:                                                                                                  #  REFERENCES -
048674,000086:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
048675,000087:                                                                                                  #        MEMO 67-4.
048676,000088: 
048677,000089:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048678,000090:                                                                                                  #                        * SCALE FACTOR  *
048679,000091:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *               DESCRIPTION AND REMARKS
048680,000092:                                                                                                  #        --------        *-------------- *               -----------------------
048681,000093:                                                                                                  #        RRECT           * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
048682,000094:                                                                                                  #                        * +27 FOR MOON  *

Page 1161

048684,000096:                                                                                                  #        VRECT           * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048685,000097:                                                                                                  #                        * +5 FOR MOON   * 
048686,000098:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048687,000099:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY
048688,000100:                                                                                                  #        TAU.            * +28           *       DESIRED TRANSFER TIME IN CENTISECONDS (DP)
048689,000101:                                                                                                  #                        *               *               MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
048690,000102:                                                                                                  #        XKEPNEW         * +17 FOR EARTH *       DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS). SIGN SHOULD AGREE WITH THAT OF TAU.
048691,000103:                                                                                                  #                        * +16 FOR MOON  *               AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
048692,000104:                                                                                                  #                        *               *               MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
048693,000105:                                                                                                  #                        *               *               BY KEPLER TO A POOR BUT VALID GUESS.
048694,000106:                                                                                                  #        TC              * +28           *       DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
048695,000107:                                                                                                  #        XPREV           * +17 FOR EARTH *       DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
048696,000108:                                                                                                  #                        * +16 FOR MOON  *               ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
048697,000109: 
048698,000110:                                                                                                  #  SUBROUTINES CALLED -
048699,000111:                                                                                                  #        DELTIME
048700,000112: 
048701,000113:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048702,000114:                                                                                                  #        KEPRTN-2        GOTO                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048703,000115:                                                                                                  #        KEPRTN-1                KEPLER          RETURNS WITH XPREV IN MPAC. PL IS AT 0.
048704,000116:                                                                                                  #        KEPRTN          ...                     CONTINUE
048705,000117: 
048706,000118:                                                                                                  #  KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
048707,000119:                                                                                                  #  THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
048708,000120:                                                                                                  #  ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
048709,000121: 
048710,000122:                                                                                                  #  ABORT EXIT MODES -
048711,000123:                                                                                                  #        NONE
048712,000124: 
048713,000125:                                                                                                  #  OUTPUT -
048714,000126:                                                                                                  #                        * SCALE FACTOR  *
048715,000127:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048716,000128:                                                                                                  #        --------        *-------------- *       -----------------------
048717,000129:                                                                                                  #        RCV             * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS
048718,000130:                                                                                                  #                        * +27 FOR MOON  *
048719,000131:                                                                                                  #        VCV             * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
048720,000132:                                                                                                  #                        * +5 FOR MOON   *
048721,000133:                                                                                                  #        TC              * +28           *       DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED. ALWAYS LESS THAN ONE PERIOD.
048722,000134:                                                                                                  #        XPREV           * +17 FOR EARTH *       DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
048723,000135:                                                                                                  #                        * +16 FOR MOON  *               CORRESPONDING TO ONE PERIOD.

Page 1162

048725,000137:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048726,000138: 
048727,000139:                                                                                                  #  DEBRIS -
048728,000140:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048729,000141:                                                                                                  #                        * SCALE FACTOR  *
048730,000142:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048731,000143:                                                                                                  #        --------        *-------------- *       -----------------------
048732,000144:                                                                                                  #        URRECT          * +1            *       DP UNIT VECTOR OF INITIAL POSITION
048733,000145:                                                                                                  #        R1              * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION IN METERS
048734,000146:                                                                                                  #                        * +27 FOR MOON  *
048735,000147:                                                                                                  #        ALPHA           * -22 FOR EARTH *       DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
048736,000148:                                                                                                  #                        * -20 FOR MOON  *
048737,000149:                                                                                                  #        TMODULO         * +28           *       DP INTEGRAL NUMBER OF PERIODS IN CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
048738,000150:                                                                                                  #                        *               *       TAU. OF LESS THAN ONE PERIOD.
048739,000151: 
048740,000152:                                                                                                  #  PARAMETERS OF NO USE -
048741,000153:                                                                                                  #        DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
048742,000154: 

Page 1163

048744,000156: 
048745,000157:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                      DATE - 1 SEPTEMBER 1967
048746,000158:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048747,000159:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048748,000160: 
048749,000161:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048750,000162:                                                                                                  #        THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
048751,000163:                                                                                                  #  FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
048752,000164:                                                                                                  #  A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
048753,000165:                                                                                                  #  SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
048754,000166:                                                                                                  #  CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
048755,000167:                                                                                                  #  UTILIZED IN THE COMPUTATION.
048756,000168: 
048757,000169:                                                                                                  #  THE RESTRICTIONS ARE -
048758,000170:                                                                                                  #        1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
048759,000171:                                                                                                  #        2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
048760,000172:                                                                                                  #        3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048761,000173:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
048762,000174:                                                                                                  #        4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
048763,000175:                                                                                                  #        5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
048764,000176:                                                                                                  #           LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048765,000177: 
048766,000178:                                                                                                  #        THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
048767,000179:                                                                                                  #  GUESS OF THE INDEPENDENT VARIABLE, COGA.                                 THE AGC COMPUTATION TIME IS APPROXIMATE-
048768,000180:                                                                                                  #  LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
048769,000181: 
048770,000182:                                                                                                  #  REFERENCES -
048771,000183:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
048772,000184:                                                                                                  #        SGA MEMO 67-4.
048773,000185: 
048774,000186:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048775,000187:                                                                                                  #  
048776,000188:                                                                                                  #                        * SCALE FACTOR  *
048777,000189:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048778,000190:                                                                                                  #        --------        *-------------- *       -----------------------
048779,000191:                                                                                                  #        R1VEC           * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
048780,000192:                                                                                                  #                        * +27 FOR MOON  *
048781,000193:                                                                                                  #        R2VEC           * +29 FOR EARTH *       DP TARGET OR TERMINAL POSITION VECTOR IN METERS
048782,000194:                                                                                                  #                        * +27 FOR MOON  *
048783,000195:                                                                                                  #        TDESIRED        * +28           *       DP DESIRED TRANSFER TIME IN CENTISECONDS
048784,000196:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048785,000197:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY
048786,000198:                                                                                                  #        GEOMSGN         * NONE          *       SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
048787,000199:                                                                                                  #        GUESSW          * NONE          *       AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1164

048789,000201:                                                                                                  #                        *               *               COGA IS TO BE USED BY LAMBERT
048790,000202:                                                                                                  #        COGA            * +5            *       DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
048791,000203:                                                                                                  #                                        *       IGNORED IF GUESSW IS SET.
048792,000204:                                                                                                  #        NORMSW          * NONE          *       AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
048793,000205:                                                                                                  #                        *               *               LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
048794,000206:                                                                                                  #        UN              * +1            *       DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
048795,000207:                                                                                                  #                        *               *               MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
048796,000208:                                                                                                  #        VTARGTAG        * NONE          *       A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
048797,000209:                                                                                                  #                        *               *               AT R1VEC.
048798,000210:                                                                                                  #        ITERCTR         * NONE          *       A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
048799,000211:                                                                                                  #                        *               *               (AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME). AT LEAST ONE OF THESE MUST
048800,000212:                                                                                                  #                        *               *               ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
048801,000213:                                                                                                  #                        *               *               TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
048802,000214: 
048803,000215:                                                                                                  #  SUBROUTINES CALLED -
048804,000216:                                                                                                  #        GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
048805,000217: 
048806,000218:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048807,000219:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048808,000220:                                                                                                  #        L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
048809,000221:                                                                                                  #                                        IN MPAC IF VTARGTAG WAS ZERO
048810,000222:                                                                                                  #        L+2     BON                     CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
048811,000223:                                                                                                  #        L+3             SOLNSW
048812,000224:                                                                                                  #        L+4             LAMABORT
048813,000225: 
048814,000226:                                                                                                  #        IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
048815,000227:                                                                                                  #  GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
048816,000228: 
048817,000229:                                                                                                  #  ABORT EXIT MODES -
048818,000230:                                                                                                  #        IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
048819,000231:                                                                                                  #  WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
048820,000232:                                                                                                  #  ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
048821,000233:                                                                                                  #  LAMABORT      DLOAD   ABS             A MEASURE OF PROXIMITY TO 0 OR
048822,000234:                                                                                                  #                        1-CSTH          360 DEGREES.
048823,000235:                                                                                                  #                DSU     BMN
048824,000236:                                                                                                  #                        ONEBIT
048825,000237:                                                                                                  #                        CHANGER2        CHANGE R2VEC DIRECTION SLIGHTLY.
048826,000238:                                                                                                  #                DLOAD   DAD
048827,000239:                                                                                                  #                        TDESIRED
048828,000240:                                                                                                  #                        SOMETIME
048829,000241:                                                                                                  #                STCALL  TDESIRED        INCREASE TDESIRED
048830,000242:                                                                                                  #                        LAMBERT
048831,000243: 

Page 1165

048833,000245:                                                                                                  #  OUTPUT -
048834,000246:                                                                                                  #                        * SCALE FACTOR  *
048835,000247:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048836,000248:                                                                                                  #        --------        *-------------- *       -----------------------
048837,000249:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
048838,000250:                                                                                                  #                        * +5 FOR MOON   *               PROBLEM.
048839,000251:                                                                                                  #        VTARGET         * +7 FOR EARTH  *       DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
048840,000252:                                                                                                  #                        * +5 FOR MOON   *
048841,000253:                                                                                                  #        SOLNSW          * NONE          *       INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
048842,000254:                                                                                                  #                        *               *               SOLUTION EXISTS.
048843,000255: 
048844,000256:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048845,000257: 
048846,000258:                                                                                                  #  DEBRIS -
048847,000259:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048848,000260: 
048849,000261:                                                                                                  #                        * SCALE FACTOR  *
048850,000262:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048851,000263:                                                                                                  #        --------        *-------------- *       -----------------------
048852,000264:                                                                                                  #        SNTH            * +1            *       DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
048853,000265:                                                                                                  #        CSTH            * +1            *       DP COSINE OF ANGLE
048854,000266:                                                                                                  #        1-CSTH          * +2            *       DP 1-CSTH
048855,000267:                                                                                                  #        COGA            * +5            *       DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
048856,000268:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
048857,000269:                                                                                                  #        R1A             * +6            *       DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
048858,000270:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP INITIAL RADIUS IN METERS
048859,000271:                                                                                                  #                        * +27 FOR MOON  *
048860,000272:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF R1VEC
048861,000273:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF R2VEC
048862,000274: 
048863,000275:                                                                                                  #        PARAMETERS OF NO USE
048864,000276:                                                                                                  #                DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
048865,000277:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
048866,000278: 

Page 1166

048868,000280:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                   DATE - 1 SEPTEMBER 1967
048869,000281:                                                                                                  #  MOD NO. - 0                                                   LOG SECTION - CONIC SUBROUTINES
048870,000282:                                                                                                  #  MOD BY KRAUSE                                                 ASSEMBLY - COLOSSUS REVISION 88
048871,000283: 
048872,000284:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048873,000285:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
048874,000286:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
048875,000287:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
048876,000288:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
048877,000289:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
048878,000290:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
048879,000291: 
048880,000292:                                                                                                  #  THE RESTRICTIONS ARE -
048881,000293:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048882,000294:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
048883,000295:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
048884,000296:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048885,000297: 
048886,000298:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
048887,000299: 
048888,000300:                                                                                                  #  REFERENCES -
048889,000301:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
048890,000302: 
048891,000303:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048892,000304:                                                                                                  #                        * SCALE FACTOR  *
048893,000305:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048894,000306:                                                                                                  #        --------        *-------------- *       -----------------------
048895,000307:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
048896,000308:                                                                                                  #                        * +27 FOR MOON  *
048897,000309:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048898,000310:                                                                                                  #                        * +5 FOR MOON   *
048899,000311:                                                                                                  #        SNTH            * +1            *       DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
048900,000312:                                                                                                  #        CSTH            * +1            *       DP COSINE OF THE ANGLE
048901,000313:                                                                                                  #        RVSW            * NONE          *       AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
048902,000314:                                                                                                  #                        *               *               IS TO BE COMPUTED ALSO.
048903,000315:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048904,000316:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
048905,000317: 
048906,000318:                                                                                                  #  SUBROUTINES CALLED -

Page 1167

048908,000320:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
048909,000321: 
048910,000322:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048911,000323:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
048912,000324:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048913,000325:                                                                                                  #        L+1             RVSW
048914,000326:                                                                                                  #        L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
048915,000327:                                                                                                  #        L+3     ...                     CONTINUE
048916,000328: 
048917,000329:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
048918,000330:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048919,000331:                                                                                                  #        L+1             RVSW
048920,000332:                                                                                                  #        L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
048921,000333:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
048922,000334:                                                                                                  #        L+3     STOVL   NEWVVEC
048923,000335:                                                                                                  #        L+4     STADR
048924,000336:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
048925,000337:                                                                                                  #        L+6     ...                     CONTINUE
048926,000338: 
048927,000339:                                                                                                  #  ABORT EXIT MODES -
048928,000340:                                                                                                  #        IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
048929,000341:                                                                                                  #        AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM.  (PCR 692 AND 721).
048930,000342: 
048931,000343:                                                                                                  #  OUTPUT -
048932,000344:                                                                                                  #                        * SCALE FACTOR  *
048933,000345:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048934,000346:                                                                                                  #        --------        *-------------- *       -----------------------
048935,000347:                                                                                                  #        T (30D)         * +28           *       DP TRANSFER TIME IN CENTISECONDS
048936,000348:                                                                                                  #        INFINFLG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
048937,000349:                                                                                                  #                        *               *               INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
048938,000350:                                                                                                  #        COGAFLAG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
048939,000351:                                                                                                  #                        *               *               CLEAR IF NOT.
048940,000352: 
048941,000353:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
048942,000354:                                                                                                  #        MPAC  -         * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
048943,000355:                                                                                                  #         MPAC +5        * +5 FOR MOON   *
048944,000356:                                                                                                  #        0D - 5D         * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
048945,000357:                                                                                                  #                        * +27 FOR MOON  *
048946,000358: 
048947,000359:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048948,000360: 

Page 1168

048950,000362:                                                                                                  #  DEBRIS -
048951,000363:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
048952,000364:                                                                                                  #  
048953,000365:                                                                                                  #                        * SCALE FACTOR  *
048954,000366:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
048955,000367:                                                                                                  #        --------        *-------------- *       -----------------------
048956,000368:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
048957,000369:                                                                                                  #                        * +27 FOR MOON  *
048958,000370:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
048959,000371:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
048960,000372:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
048961,000373:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
048962,000374:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
048963,000375:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
048964,000376: 
048965,000377:                                                                                                  #        PARAMETERS OF NO USE -
048966,000378:                                                                                                  #        SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
048967,000379:                                                                                                  #        ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
048968,000380: 

Page 1169

048970,000382:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE          DATE - 11 OCTOBER 1967
048971,000383:                                                                                                  #  MOD NO. -1                                            LOG SECTION - CONIC SUBROUTINES
048972,000384:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
048973,000385: 
048974,000386:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048975,000387: 
048976,000388:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
048977,000389:                                                                                                  #        STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
048978,000390:                                                                                                  #        PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
048979,000391:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
048980,000392:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
048981,000393:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
048982,000394: 
048983,000395:                                                                                                  #        IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
048984,000396:                                                                                                  #        APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
048985,000397: 
048986,000398:                                                                                                  #  THE RESTRICTIONS ARE -
048987,000399:                                                                                                  #        1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048988,000400:                                                                                                  #           AND LESS THAN 178 DEGREES 12.5 MINUTES.
048989,000401:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
048990,000402:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048991,000403:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
048992,000404:                                                                                                  #           RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
048993,000405:                                                                                                  #           PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
048994,000406: 
048995,000407:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
048996,000408: 
048997,000409:                                                                                                  #  REFERENCES -
048998,000410:                                                                                                  #        R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
048999,000411: 
049000,000412:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049001,000413:                                                                                                  #                        * SCALE FACTOR  *
049002,000414:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049003,000415:                                                                                                  #        --------        *-------------- *       -----------------------
049004,000416:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049005,000417:                                                                                                  #                        * +27 FOR MOON  *
049006,000418:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049007,000419:                                                                                                  #                        * +5 FOR MOON   *
049008,000420:                                                                                                  #        RDESIRED        * +29 FOR EARTH *       DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
049009,000421:                                                                                                  #                        * +27 FOR MOON  *               COMPUTED.
049010,000422:                                                                                                  #        SGNRDOT         * NONE          *       SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
049011,000423:                                                                                                  #                        *               *               POSITIVE OR NEGATIVE, RESPECTIVELY.   THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1170

049013,000425:                                                                                                  #                        *               *               SINGLE-VALUED PROBLEM.
049014,000426:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049015,000427:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
049016,000428:                                                                                                  #        RVSW            * NONE          *       AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049017,000429:                                                                                                  #                        *               *               IS TO BE COMPUTED ALSO.
049018,000430: 
049019,000431:                                                                                                  #  SUBROUTINES CALLED -
049020,000432:                                                                                                  #        PARAM, GEOM, GETX, DELTIME, NEWSTATE
049021,000433: 
049022,000434:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049023,000435: 
049024,000436:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049025,000437:                                                                                                  #        L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049026,000438:                                                                                                  #        L+1             RVSW
049027,000439:                                                                                                  #        L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
049028,000440:                                                                                                  #        L+3     ...                     CONTINUE
049029,000441: 
049030,000442:                                                                                                  #        IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049031,000443:                                                                                                  #        L       CLEAR   CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049032,000444:                                                                                                  #        L+1             RVSW
049033,000445:                                                                                                  #        L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049034,000446:                                                                                                  #                                        THE INITIAL VELOCITY VECTOR IN MPAC.
049035,000447:                                                                                                  #        L+3     STOVL   NEWVVEC
049036,000448:                                                                                                  #        L+4     STADR
049037,000449:                                                                                                  #        L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049038,000450:                                                                                                  #        L+6     ...                     CONTINUE
049039,000451: 
049040,000452:                                                                                                  #  ABORT EXIT MODES -
049041,000453:                                                                                                  #        IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
049042,000454:                                                                                                  #        TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
049043,000455: 
049044,000456:                                                                                                  #  OUTPUT -
049045,000457:                                                                                                  #                        * SCALE FACTOR  *
049046,000458:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049047,000459:                                                                                                  #        --------        *-------------- *       -----------------------
049048,000460:                                                                                                  #        T (30D)         * +28           *       DP TRANSFER TIME IN CENTISECONDS
049049,000461:                                                                                                  #        INFINFLG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
049050,000462:                                                                                                  #                        *               *               INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049051,000463:                                                                                                  #        COGAFLAG        * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049052,000464:                                                                                                  #                        *               *               CLEAR IF NOT.
049053,000465:                                                                                                  #        APSESW          * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1171

049055,000467:                                                                                                  #                        *               *               LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
049056,000468:                                                                                                  #                        *               *               WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
049057,000469:                                                                                                  #                        *               *               APOCENTER.
049058,000470:                                                                                                  #        SOLNSW          * NONE          *       AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
049059,000471:                                                                                                  #                                        *               POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
049060,000472:                                                                                                  #                                        *               MINUS-18, THE SWITCH IS CLEAR.
049061,000473: 
049062,000474:                                                                                                  #        IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
049063,000475: 
049064,000476:                                                                                                  #        MPAC  -         * +7 FOR EARTH  *       DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049065,000477:                                                                                                  #         MPAC +5        * +5 FOR MOON   *
049066,000478:                                                                                                  #        0D - 5D         * +29 FOR EARTH *       DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049067,000479:                                                                                                  #                        * +27 FOR MOON  *
049068,000480: 
049069,000481:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049070,000482: 
049071,000483:                                                                                                  #  DEBRIS -
049072,000484:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049073,000485: 
049074,000486:                                                                                                  #                        * SCALE FACTOR  *
049075,000487:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049076,000488:                                                                                                  #        --------        *-------------- *       -----------------------
049077,000489:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049078,000490:                                                                                                  #                        * +27 FOR MOON  *
049079,000491:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049080,000492:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
049081,000493:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049082,000494:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
049083,000495:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
049084,000496:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
049085,000497:                                                                                                  #        CSTH            * +1            *       DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
049086,000498:                                                                                                  #        SNTH            * +1            *       DP SINE OF TRUE ANOMALY DIFFERENCE.
049087,000499: 
049088,000500:                                                                                                  #        PARAMETERS OF NO USE -
049089,000501:                                                                                                  #                SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049090,000502:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049091,000503: 
049092,000504: 

Page 1172

049094,000506:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE              DATE - 1 SEPTEMBER 1967
049095,000507:                                                                                                  #  MOD NO. - 0                                           LOG SECTION - CONIC SUBROUTINES
049096,000508:                                                                                                  #  MOD BY KRAUSE                                         ASSEMBLY - COLOSSUS REVISION 88
049097,000509: 
049098,000510:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049099,000511: 
049100,000512:                                                                                                  #        THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
049101,000513:                                                                                                  #        ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
049102,000514:                                                                                                  #        CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049103,000515:                                                                                                  #        EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049104,000516:                                                                                                  #        ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049105,000517: 
049106,000518:                                                                                                  #  THE RESTRICTIONS ARE -
049107,000519:                                                                                                  #        1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
049108,000520:                                                                                                  #           TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
049109,000521:                                                                                                  #        2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049110,000522:                                                                                                  #           ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049111,000523: 
049112,000524:                                                                                                  #        THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
049113,000525: 
049114,000526:                                                                                                  #  REFERENCES -
049115,000527:                                                                                                  #        MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
049116,000528: 
049117,000529:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049118,000530:                                                                                                  #                        * SCALE FACTOR  *
049119,000531:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049120,000532:                                                                                                  #        --------        *-------------- *       -----------------------
049121,000533:                                                                                                  #        RVEC            * +29 FOR EARTH *       DP INITIAL POSITION VECTOR IN METERS
049122,000534:                                                                                                  #                        * +27 FOR MOON  *
049123,000535:                                                                                                  #        VVEC            * +7 FOR EARTH  *       DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049124,000536:                                                                                                  #                        * +5 FOR MOON   *
049125,000537:                                                                                                  #        X1 (38D)        * NONE          *       INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049126,000538:                                                                                                  #                        *               *               RESPECTIVELY, IS THE CENTRAL BODY.
049127,000539: 
049128,000540:                                                                                                  #  SUBROUTINES CALLED -
049129,000541:                                                                                                  #        PARAM, GEOM
049130,000542: 
049131,000543:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1173

049133,000545:                                                                                                  #        IF ONLY TIME IS DESIRED AS OUTPUT -
049134,000546:                                                                                                  #        L       CALL                    MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049135,000547:                                                                                                  #        L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
049136,000548:                                                                                                  #        L+2     STODL   APOAPSE
049137,000549:                                                                                                  #        L+3             0D
049138,000550:                                                                                                  #        L+4     STORE   PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
049139,000551:                                                                                                  #        L+5     ...                     CONTINUE
049140,000552: 
049141,000553:                                                                                                  #  OUTPUT -
049142,000554:                                                                                                  #                        * SCALE FACTOR  *
049143,000555:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049144,000556:                                                                                                  #        --------        *-------------- *       -----------------------
049145,000557:                                                                                                  #        MPAC            * +29 FOR EARTH *       DP RADIUS OF APOCENTER IN METERS
049146,000558:                                                                                                  #                        * +27 FOR MOON  *
049147,000559:                                                                                                  #        0D-1D           * +29 FOR EARTH *       DP RADIUS OF PERICENTER IN METERS
049148,000560:                                                                                                  #                        * +27 FOR MOON  *
049149,000561:                                                                                                  #        ECC             * +3            *       DP ECCENTRICITY OF CONIC TRAJECTORY.
049150,000562: 
049151,000563:                                                                                                  #        FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049152,000564: 
049153,000565:                                                                                                  #  DEBRIS -
049154,000566: 
049155,000567:                                                                                                  #        PARAMETERS WHICH MAY BE OF USE -
049156,000568: 
049157,000569:                                                                                                  #                        * SCALE FACTOR  *
049158,000570:                                                                                                  #        VARIABLE        *IN POWERS OF 2 *       DESCRIPTION AND REMARKS
049159,000571:                                                                                                  #        --------        *-------------- *       -----------------------
049160,000572:                                                                                                  #        R1 (32D)        * +29 FOR EARTH *       DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049161,000573:                                                                                                  #                        * +27 FOR MOON  *
049162,000574:                                                                                                  #        R1A             * +6            *       DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049163,000575:                                                                                                  #        P               * +4            *       DP RATIO OF SEMILATUS RECTUM TO R1
049164,000576:                                                                                                  #        COGA            * +5            *       DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049165,000577:                                                                                                  #        UR1             * +1            *       DP UNIT VECTOR OF RVEC
049166,000578:                                                                                                  #        U2              * +1            *       DP UNIT VECTOR OF VVEC
049167,000579:                                                                                                  #        UN              * +1            *       DP UNIT VECTOR OF UR1*U2
049168,000580:                                                                                                  #        MAGVEC2         * +7 FOR EARTH  *       DP MAGNITUDE OF VVEC
049169,000581:                                                                                                  #                        * +5 FOR MOON   *
049170,000582: 
049171,000583:                                                                                                  #        PARAMETERS OF NO USE -
049172,000584:                                                                                                  #                SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
049173,000585:                                                                                                  #                ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
049174,000586: 
049175,000587: 12,2000                                           SETLOC   CONICS                                

Page 1174

049177,000589: 12,2000                                           BANK                                           
049178,000590: 
049179,000591: 12,2023                                           COUNT*   $$/CONIC                              
049180,000592: 12,2023  E5,1721                                  EBANK=   UR1                                   
049181,000593: 12,2023           40001        KEPLERN            SETPD    BOV                                   
049182,000594: 12,2024           00001                                    0                                     
049183,000595: 12,2025           24026                                    +1                                    
049184,000596: 12,2026           77773                           VLOAD*                                         
049185,000597: 12,2027           10005                                    MUTABLE,1                             
049186,000598: 12,2030           24017                           STOVL    14D                                   
049187,000599: 12,2031           01503                                    RRECT                                 
049188,000600: 12,2032           66256                           UNIT     SSP                                   
049189,000601: 12,2033           00027                                    ITERCTR                               
049190,000602: 12,2034           00024                                    20D                                   
049191,000603: 12,2035           16647                           STODL    URRECT                                
049192,000604: 12,2036           00045                                    36D                                   
049193,000605: 12,2037           24041                           STOVL    R1                                    
049194,000606: 12,2040           01503                                    RRECT                                 
049195,000607: 12,2041           76441                           DOT      SL1R                                  
049196,000608: 12,2042           01511                                    VRECT                                 
049197,000609: 12,2043           76405                           DMP      SL1R                                  
049198,000610: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
049199,000611: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
049200,000612: 12,2046           01511                                    VRECT                                 
049201,000613: 12,2047           57236                           VSQ      DMPR                                  
049202,000614: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
049203,000615: 12,2051           52405                           DMP      SL3                                   
049204,000616: 12,2052           00041                                    R1                                    
049205,000617: 12,2053           61425                           DSU      ROUND                                 
049206,000618: 12,2054           11035                                    D1/64                                 
049207,000619: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
049208,000620: 
049209,000621: 12,2056           74421                           BDSU     SR1R                                  
049210,000622: 12,2057           11035                                    D1/64                                 
049211,000623: 12,2060           77671                           DDV                                            
049212,000624: 12,2061           00041                                    R1                                    
049213,000625: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
049214,000626: 
049215,000627: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
049216,000628: 12,2064           24073                                    1REV                                  
049217,000629: 12,2065           11053                                    -50SC                                 #  -50SC (+12)
049218,000630: 12,2066           40071                           DDV      BOV                                   
049219,000631: 12,2067           00011                                    ALPHA                                 
049220,000632: 12,2070           24077                                    STOREMAX                              
049221,000633: 12,2071           52166                           SQRT     GOTO                                  
049222,000634: 12,2072           24077                                    STOREMAX                              
049223,000635: 
049224,000636: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1175

049226,000638: 12,2074           11055                                    2PISC                                 #  2PISC (+6)
049227,000639: 12,2075           77600                           BOV                                            
049228,000640: 12,2076           24077                                    STOREMAX                              
049229,000641: 12,2077           00013        STOREMAX           STORE    XMAX                                  
049230,000642: 12,2100           65205                           DMP      PDDL                                  
049231,000643: 12,2101           00023                                    1/ROOTMU                              
049232,000644: 12,2102           00011                                    ALPHA                                 
049233,000645: 12,2103           65301                           NORM     PDDL                                  
049234,000646: 12,2104           00047                                    X1                                    
049235,000647: 12,2105           56257                           SL*      DDV                                   
049236,000648: 12,2106           20173                                    0          -6,1                       
049237,000649: 12,2107           50000                           BOV      BMN                                   
049238,000650: 12,2110           24124                                    MODDONE                               
049239,000651: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
049240,000652: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
049241,000653: 12,2113           02074                                    TAU.                                  
049242,000654: 12,2114           50025                           DSU      BMN                                   
049243,000655: 12,2115           00001                                    0D                                    
049244,000656: 12,2116           24124                                    MODDONE                               
049245,000657: 12,2117           77765                           SIGN                                           
049246,000658: 12,2120           02074                                    TAU.                                  
049247,000659: 12,2121           16074                           STODL    TAU.                                  
049248,000660: 12,2122           77650                           GOTO                                           
049249,000661: 12,2123           24112                                    PERIODCH                              
049250,000662: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
049251,000663: 12,2125           00001                                    0                                     
049252,000664: 12,2126           02130                                    XKEPNEW                               
049253,000665: 12,2127           00025                           STORE    X                                     
049254,000666: 12,2130           53165                           SIGN     BZE                                   
049255,000667: 12,2131           02074                                    TAU.                                  
049256,000668: 12,2132           24302                                    BADX                                  
049257,000669: 12,2133           51440                           BMN      ABS                                   
049258,000670: 12,2134           24302                                    BADX                                  
049259,000671: 12,2135           51025                           DSU      BPL                                   
049260,000672: 12,2136           00013                                    XMAX                                  
049261,000673: 12,2137           24302                                    BADX                                  
049262,000674: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
049263,000675: 12,2141           02074                                    TAU.                                  
049264,000676: 12,2142           24152                                    STOREMIN                              
049265,000677: 12,2143           57545                           DLOAD    DCOMP                                 
049266,000678: 12,2144           00013                                    XMAX                                  
049267,000679: 12,2145           14015                           STODL    XMIN                                  
049268,000680: 12,2146           24007                                    KEPZERO                               
049269,000681: 12,2147           00013                           STORE    XMAX                                  
049270,000682: 12,2150           77650                           GOTO                                           
049271,000683: 12,2151           24155                                    DXCOMP                                
049272,000684: 12,2152           77745        STOREMIN           DLOAD                                          
049273,000685: 12,2153           24007                                    KEPZERO                               
049274,000686: 12,2154           00015                           STORE    XMIN                                  
049275,000687: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1176

049277,000689: 12,2156           02074                                    TAU.                                  
049278,000690: 12,2157           11046                                    BEE22                                 
049279,000691: 12,2160           77646                           ABS                                            
049280,000692: 12,2161           16177                           STODL    EPSILONT                              
049281,000693: 12,2162           01553                                    XPREV                                 
049282,000694: 12,2163           77621        XDIFF              BDSU                                           
049283,000695: 12,2164           00025                                    X                                     
049284,000696: 12,2165           02643                           STORE    DELX                                  
049285,000697: 
049286,000698: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
049287,000699: 12,2167           00025                                    X                                     #  X=XKEP
049288,000700: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049289,000701: 12,2171           00047                                    X1                                    
049290,000702: 12,2172           53605                           DMP      SRR*                                  
049291,000703: 12,2173           00011                                    ALPHA                                 
049292,000704: 12,2174           21573                                    0          -6,1                       
049293,000705: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
049294,000706: 12,2176           24421                                    DELTIME                               
049295,000707: 12,2177           44200                           BOV      BDSU                                  
049296,000708: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
049297,000709: 12,2201           02074                                    TAU.                                  
049298,000710: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
049299,000711: 12,2203           44246                           ABS      BDSU                                  
049300,000712: 12,2204           02177                                    EPSILONT                              
049301,000713: 12,2205           71244                           BPL      DLOAD                                 
049302,000714: 12,2206           24333                                    KEPCONVG                              
049303,000715: 12,2207           00037                                    T                                     
049304,000716: 12,2210           60225                           DSU      NORM                                  
049305,000717: 12,2211           01551                                    TC                                    
049306,000718: 12,2212           00047                                    X1                                    
049307,000719: 12,2213           60325                           PDDL     NORM                                  
049308,000720: 12,2214           02643                                    DELX                                  
049309,000721: 12,2215           00050                                    X2                                    
049310,000722: 12,2216           41260                           XSU,1    DMP                                   
049311,000723: 12,2217           00047                                    X2                                    
049312,000724: 12,2220           02645                                    DELT                                  
049313,000725: 12,2221           56257                           SLR*     DDV                                   
049314,000726: 12,2222           21202                                    1,1                                   
049315,000727: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
049316,000728: 12,2224           71244                           BPL      DLOAD                                 
049317,000729: 12,2225           24246                                    POSDELX                               
049318,000730: 12,2226           00025                                    X                                     
049319,000731: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
049320,000732: 12,2230           45221                           BDSU     DSU                                   #                        PL AT 0
049321,000733: 12,2231           00015                                    XMIN                                  
049322,000734: 12,2232           51000                           BOV      BPL                                   
049323,000735: 12,2233           24240                                    NDXCHNGE                              
049324,000736: 12,2234           24240                                    NDXCHNGE                              
049325,000737: 12,2235           52145                           DLOAD    GOTO                                  

Page 1177

049327,000739: 12,2236           00001                                    0D                                    
049328,000740: 12,2237           24260                                    NEWDELX                               
049329,000741: 
049330,000742: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
049331,000743: 12,2241           00015                                    XMIN                                  
049332,000744: 12,2242           00025                                    X                                     
049333,000745: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049334,000746: 12,2244           11051                                    DP9/10                                
049335,000747: 12,2245           24260                                    NEWDELX                               
049336,000748: 
049337,000749: 12,2246           77745        POSDELX            DLOAD                                          
049338,000750: 12,2247           00025                                    X                                     
049339,000751: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
049340,000752: 12,2251           45221                           BDSU     DSU                                   #                        PL AT 0
049341,000753: 12,2252           00013                                    XMAX                                  
049342,000754: 12,2253           50000                           BOV      BMN                                   
049343,000755: 12,2254           24274                                    PDXCHNGE                              
049344,000756: 12,2255           24274                                    PDXCHNGE                              
049345,000757: 12,2256           77745                           DLOAD                                          
049346,000758: 12,2257           00001                                    0D                                    
049347,000759: 12,2260           02643        NEWDELX            STORE    DELX                                  
049348,000760: 12,2261           43254                           BZE      DAD                                   
049349,000761: 12,2262           24333                                    KEPCONVG                              
049350,000762: 12,2263           00025                                    X                                     
049351,000763: 12,2264           14025                           STODL    X                                     
049352,000764: 12,2265           00037                                    T                                     
049353,000765: 12,2266           01551                           STORE    TC                                    
049354,000766: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
049355,000767: 12,2270           24644                                    CHECKCTR                              
049356,000768: 12,2271           24333                                    KEPCONVG                              
049357,000769: 12,2272           77650                           GOTO                                           
049358,000770: 12,2273           24166                                    KEPLOOP                               #  ITERATE
049359,000771: 
049360,000772: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
049361,000773: 12,2275           00013                                    XMAX                                  
049362,000774: 12,2276           00025                                    X                                     
049363,000775: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049364,000776: 12,2300           11051                                    DP9/10                                
049365,000777: 12,2301           24260                                    NEWDELX                               
049366,000778: 
049367,000779: 12,2302           70545        BADX               DLOAD    SR1                                   
049368,000780: 12,2303           00013                                    XMAX                                  
049369,000781: 12,2304           77765                           SIGN                                           
049370,000782: 12,2305           02074                                    TAU.                                  
049371,000783: 12,2306           00025                           STORE    X                                     
049372,000784: 12,2307           77650                           GOTO                                           

Page 1178

049374,000786: 12,2310           24140                                    STORBNDS                              
049375,000787: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
049376,000788: 12,2312           00025                                    X                                     
049377,000789: 12,2313           24330                                    NEGTOVFL                              
049378,000790: 12,2314           00013                           STORE    XMAX                                  
049379,000791: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
049380,000792: 12,2316           02643                                    DELX                                  
049381,000793: 12,2317           02643                           STORE    DELX                                  
049382,000794: 12,2320           44254                           BZE      BDSU                                  
049383,000795: 12,2321           02112                                    KEPRTN                                
049384,000796: 12,2322           00025                                    X                                     
049385,000797: 12,2323           14025                           STODL    X                                     
049386,000798: 12,2324           01551                                    TC                                    
049387,000799: 12,2325           00037                           STORE    T                                     
049388,000800: 12,2326           77650                           GOTO                                           
049389,000801: 12,2327           24267                                    BRNCHCTR                              
049390,000802: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
049391,000803: 12,2331           77650                           GOTO                                           
049392,000804: 12,2332           24315                                    CMNTOVFL                              
049393,000805: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
049394,000806: 12,2334           00041                                    R1                                    
049395,000807: 12,2335           74225                           DSU      VXSC                                  
049396,000808: 12,2336           00035                                    XSQC(XI)                              
049397,000809: 12,2337           02647                                    URRECT                                
049398,000810: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
049399,000811: 12,2341           00025                                    X                                     
049400,000812: 12,2342           60316                           DSQ      NORM                                  
049401,000813: 12,2343           00047                                    X1                                    
049402,000814: 12,2344           57275                           DMPR     DMPR                                  
049403,000815: 12,2345           00023                                    1/ROOTMU                              
049404,000816: 12,2346           00025                                    X                                     
049405,000817: 12,2347           53605                           DMP      SRR*                                  
049406,000818: 12,2350           00033                                    S(XI)                                 
049407,000819: 12,2351           21572                                    0          -7,1                       
049408,000820: 12,2352           77621                           BDSU                                           
049409,000821: 12,2353           00037                                    T                                     
049410,000822: 12,2354           74352                           SL1      VXSC                                  
049411,000823: 12,2355           01511                                    VRECT                                 
049412,000824: 12,2356           53372                           VSL1     VAD                                   #                                PL AT 0
049413,000825: 12,2357           77712                           VSL4                                           
049414,000826: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
049415,000827: 
049416,000828: 12,2361           60246                           ABVAL    NORM                                  
049417,000829: 12,2362           00050                                    X2                                    
049418,000830: 12,2363           14043                           STODL    RCNORM                                
049419,000831: 12,2364           00031                                    XI                                    
049420,000832: 12,2365           45275                           DMPR     DSU                                   
049421,000833: 12,2366           00033                                    S(XI)                                 
049422,000834: 12,2367           11033                                    D1/128                                

Page 1179

049424,000836: 12,2370           76405                           DMP      SL1R                                  
049425,000837: 12,2371           00021                                    ROOTMU                                
049426,000838: 12,2372           53605                           DMP      SLR*                                  
049427,000839: 12,2373           00025                                    X                                     
049428,000840: 12,2374           56601                                    0          -3,2                       
049429,000841: 12,2375           74271                           DDV      VXSC                                  
049430,000842: 12,2376           00043                                    RCNORM                                
049431,000843: 12,2377           02647                                    URRECT                                
049432,000844: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
049433,000845: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
049434,000846: 12,2402           56257                           SLR*     DDV                                   
049435,000847: 12,2403           56602                                    0          -4,2                       
049436,000848: 12,2404           00043                                    RCNORM                                
049437,000849: 12,2405           74221                           BDSU     VXSC                                  
049438,000850: 12,2406           11047                                    D1/256                                
049439,000851: 12,2407           01511                                    VRECT                                 
049440,000852: 12,2410           42455                           VAD      VSL8                                  
049441,000853: 12,2411           77626                           STADR                                          #                                PL AT 0
049442,000854: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
049443,000855: 12,2413           00037                                    T                                     
049444,000856: 12,2414           15551                           STODL    TC                                    
049445,000857: 12,2415           00025                                    X                                     
049446,000858: 12,2416           01553                           STORE    XPREV                                 
049447,000859: 12,2417           77650                           GOTO                                           
049448,000860: 12,2420           02112                                    KEPRTN                                
049449,000861: 

Page 1180

049451,000863: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
049452,000864: 12,2422           07222                           TC       POLY                                  
049453,000865: 12,2423           00010                           DEC      8          B-14                       
049454,000866: 12,2424           02525 12526                     2DEC     .083333334                            
049455,000867: 12,2426           67356 75666                     2DEC     -.266666684                            
049456,000868: 12,2430           15001 23771                     2DEC     .406349155                            
049457,000869: 12,2432           64342 43674                     2DEC     -.361198675                            
049458,000870: 12,2434           06563 04645                     2DEC     .210153242                            
049459,000871: 12,2436           75173 52672                     2DEC     -.086221951                            
049460,000872: 12,2440           00656 14331                     2DEC     .026268812                            
049461,000873: 12,2442           77633 40512                     2DEC     -.006163316                            
049462,000874: 12,2444           00023 11210                     2DEC     .001177342                            
049463,000875: 12,2446           77774 67506                     2DEC     -.000199055                            
049464,000876: 
049465,000877: 12,2450           06037                           TC       INTPRET                               
049466,000878: 12,2451           14033                           STODL    S(XI)                                 
049467,000879: 12,2452           00031                                    XI                                    
049468,000880: 12,2453           77776                           EXIT                                           
049469,000881: 12,2454           07222                           TC       POLY                                  
049470,000882: 12,2455           00010                           DEC      8          B-14                       
049471,000883: 12,2456           01000 00000                     2DEC     .031250001                            
049472,000884: 12,2460           72525 52506                     2DEC     -.166666719                            
049473,000885: 12,2462           13301 15337                     2DEC     .355555413                            
049474,000886: 12,2464           62776 54733                     2DEC     -.406347410                            
049475,000887: 12,2466           11176 13267                     2DEC     .288962094                            
049476,000888: 12,2470           73410 51674                     2DEC     -.140117894                            
049477,000889: 12,2472           01446 33641                     2DEC     .049247387                            
049478,000890: 12,2474           77451 65233                     2DEC     -.013081923                            
049479,000891: 12,2476           00055 37266                     2DEC     .002806389                            
049480,000892: 12,2500           77767 52336                     2DEC     -.000529414                            
049481,000893: 12,2502           06037                           TC       INTPRET                               

Page 1181

049483,000895: 12,2503           53605                           DMP      SRR*                                  #                                PL AT 0
049484,000896: 12,2504           00001                                    0D                                    
049485,000897: 12,2505           21574                                    0          -5,1                       
049486,000898: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
049487,000899: 12,2507           72405                           DMP      SL1                                   
049488,000900: 12,2510           00043                                    KEPC1                                 
049489,000901: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
049490,000902: 12,2512           21633                                    TPMODE                                #                                PL AT 0,3
049491,000903: 12,2513           53605                           DMP      SRR*                                  
049492,000904: 12,2514           00033                                    S(XI)                                 
049493,000905: 12,2515           21574                                    0          -5,1                       
049494,000906: 12,2516           72405                           DMP      SL1                                   
049495,000907: 12,2517           00045                                    KEPC2                                 
049496,000908: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
049497,000909: 12,2521           21633                                    TPMODE                                
049498,000910: 12,2522           00041                                    R1                                    
049499,000911: 12,2523           76261                           SR       TAD                                   #                                PL AT 3
049500,000912: 12,2524           20607                                    6                                     
049501,000913: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
049502,000914: 12,2526           00047                                    X1                                    
049503,000915: 12,2527           00025                                    X                                     
049504,000916: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
049505,000917: 12,2531           20576                                    0          -3,1                       
049506,000918: 12,2532           57232                           SL4R     DMPR                                  
049507,000919: 12,2533           00023                                    1/ROOTMU                              
049508,000920: 12,2534           00037                           STORE    T                                     
049509,000921: 12,2535           77616                           RVQ                                            
049510,000922: 

Page 1182

049512,000924: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
049513,000925: 12,2537           00614                                    SLOPESW                               
049514,000926: 12,2540           24606                                    FIRSTIME                              
049515,000927: 12,2541           00037                                    DEP                                   
049516,000928: 12,2542           60225                           DSU      NORM                                  
049517,000929: 12,2543           02762                                    DEPREV                                
049518,000930: 12,2544           00047                                    X1                                    
049519,000931: 12,2545           60325                           PDDL     NORM                                  
049520,000932: 12,2546           00015                                    DELINDEP                              
049521,000933: 12,2547           00050                                    X2                                    
049522,000934: 12,2550           41260                           XSU,1    DMP                                   
049523,000935: 12,2551           00047                                    X2                                    
049524,000936: 12,2552           02760                                    DELDEP                                
049525,000937: 12,2553           56257                           SLR*     DDV                                   #                                PL UP 2
049526,000938: 12,2554           21202                                    1,1                                   
049527,000939: 12,2555           43142                           SR1      BOFF                                  
049528,000940: 12,2556           04351                                    ORDERSW                               
049529,000941: 12,2557           24562                                    SGNCHECK                              
049530,000942: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
049531,000943: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
049532,000944: 
049533,000945: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
049534,000946: 12,2563           24620                                    POSDEL                                
049535,000947: 12,2564           43145                           DLOAD    BON                                   
049536,000948: 12,2565           02766                                    INDEP                                 
049537,000949: 12,2566           04311                                    ORDERSW                               
049538,000950: 12,2567           24571                                    MINCHECK                              
049539,000951: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
049540,000952: 
049541,000953: 12,2571           45221        MINCHECK           BDSU     DSU                                   
049542,000954: 12,2572           00011                                    MIN                                   
049543,000955: 12,2573           51000                           BOV      BPL                                   
049544,000956: 12,2574           24600                                    MODNGDEL                              
049545,000957: 12,2575           24600                                    MODNGDEL                              
049546,000958: 12,2576           77650                           GOTO                                           
049547,000959: 12,2577           24632                                    DELOK                                 
049548,000960: 
049549,000961: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
049550,000962: 12,2601           00011                                    MIN                                   
049551,000963: 12,2602           02766                                    INDEP                                 
049552,000964: 12,2603           52005                           DMP      GOTO                                  
049553,000965: 12,2604           11051                                    DP9/10                                
049554,000966: 12,2605           24634                                    NEWDEL                                
049555,000967: 
049556,000968: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
049557,000969: 12,2607           00011                                    MIN                                   
049558,000970: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
049559,000971: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1183

049561,000973: 12,2612           00017                                    MAX                                   
049562,000974: 12,2613           00051                                    TWEEKIT                               
049563,000975: 12,2614           77625                           DSU                                            
049564,000976: 12,2615           52165                           SIGN     GOTO                                  
049565,000977: 12,2616           02760                                    DELDEP                                
049566,000978: 12,2617           24562                                    SGNCHECK                              
049567,000979: 
049568,000980: 12,2620           43145        POSDEL             DLOAD    BON                                   
049569,000981: 12,2621           02766                                    INDEP                                 
049570,000982: 12,2622           04311                                    ORDERSW                               
049571,000983: 12,2623           24625                                    MAXCHECK                              
049572,000984: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
049573,000985: 
049574,000986: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
049575,000987: 12,2626           00017                                    MAX                                   
049576,000988: 12,2627           50000                           BOV      BMN                                   
049577,000989: 12,2630           24636                                    MODPSDEL                              
049578,000990: 12,2631           24636                                    MODPSDEL                              
049579,000991: 12,2632           77745        DELOK              DLOAD                                          
049580,000992: 12,2633           00001                                    0D                                    
049581,000993: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
049582,000994: 12,2635           77616                           RVQ                                            
049583,000995: 
049584,000996: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
049585,000997: 12,2637           00017                                    MAX                                   
049586,000998: 12,2640           02766                                    INDEP                                 
049587,000999: 12,2641           52005                           DMP      GOTO                                  
049588,001000: 12,2642           11051                                    DP9/10                                
049589,001001: 12,2643           24634                                    NEWDEL                                
049590,001002: 
049591,001003: 12,2644           44753        CHECKCTR           CS       ONE                                   
049592,001004: 12,2645           50120                           INDEX    FIXLOC                                
049593,001005: 12,2646           60026                           AD       ITERCTR                               
049594,001006: 12,2647           50120                           INDEX    FIXLOC                                
049595,001007: 12,2650           54026                           TS       ITERCTR                               
049596,001008: 12,2651           54154                           TS       MPAC                                  
049597,001009: 12,2652           06061                           TC       DANZIG                                
049598,001010: 

Page 1184

049600,001012: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
049601,001013: 12,2654           00041                                    R1                                    
049602,001014: 12,2655           74225                           DSU      VXSC                                  
049603,001015: 12,2656           00035                                    XSQC(XI)                              
049604,001016: 12,2657           02722                                    UR1                                   
049605,001017: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
049606,001018: 12,2661           00025                                    X                                     
049607,001019: 12,2662           60316                           DSQ      NORM                                  
049608,001020: 12,2663           00047                                    X1                                    
049609,001021: 12,2664           57275                           DMPR     DMPR                                  
049610,001022: 12,2665           00023                                    1/ROOTMU                              
049611,001023: 12,2666           00025                                    X                                     
049612,001024: 12,2667           53605                           DMP      SRR*                                  
049613,001025: 12,2670           00033                                    S(XI)                                 
049614,001026: 12,2671           21572                                    0          -7,1                       
049615,001027: 12,2672           77621                           BDSU                                           
049616,001028: 12,2673           00037                                    T                                     
049617,001029: 12,2674           74352                           SL1      VXSC                                  
049618,001030: 12,2675           02744                                    VVEC                                  
049619,001031: 12,2676           53372                           VSL1     VAD                                   #                                PL AT 0
049620,001032: 12,2677           41512                           VSL4     PUSH                                  
049621,001033: 12,2700           77646                           ABVAL                                          
049622,001034: 12,2701           77701        LAMENTER           NORM                                           
049623,001035: 12,2702           00047                                    X1                                    
049624,001036: 12,2703           16720                           STODL    R2                                    
049625,001037: 12,2704           00031                                    XI                                    
049626,001038: 12,2705           45205                           DMP      DSU                                   
049627,001039: 12,2706           00033                                    S(XI)                                 
049628,001040: 12,2707           11033                                    D1/128                                
049629,001041: 12,2710           76405                           DMP      SL1R                                  
049630,001042: 12,2711           00021                                    ROOTMU                                
049631,001043: 12,2712           53605                           DMP      SLR*                                  
049632,001044: 12,2713           00025                                    X                                     
049633,001045: 12,2714           21176                                    0          -3,1                       
049634,001046: 12,2715           74271                           DDV      VXSC                                  
049635,001047: 12,2716           02720                                    R2                                    
049636,001048: 12,2717           02722                                    UR1                                   
049637,001049: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
049638,001050: 12,2721           00035                                    XSQC(XI)                              
049639,001051: 12,2722           56257                           SLR*     DDV                                   
049640,001052: 12,2723           21175                                    0          -4,1                       
049641,001053: 12,2724           02720                                    R2                                    
049642,001054: 12,2725           77621                           BDSU                                           
049643,001055: 12,2726           11047                                    D1/256                                
049644,001056: 12,2727           53361                           VXSC     VAD                                   #                                PL AT 6
049645,001057: 12,2730           02744                                    VVEC                                  
049646,001058: 12,2731           43412                           VSL8     RVQ                                   
049647,001059: 

Page 1185

049649,001061: 04,2000                                           SETLOC   CONICS1                               
049650,001062: 04,2000                                           BANK                                           
049651,001063: 
049652,001064: 04,3027                                           COUNT*   $$/CONIC                              
049653,001065:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
049654,001066: 04,3027           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
049655,001067: 04,3030           04000 00000  D1/8               2DEC     1.0        B-3                        
049656,001068: 04,3032           00200 00000  D1/128             2DEC     1.0        B-7                        
049657,001069: 04,3034           00400 00000  D1/64              2DEC     1.0        B-6                        
049658,001070: 04,3036           10000 00000  D1/4               2DEC     1.0        B-2                        
049659,001071: 04,3040           02000 00000  D1/16              2DEC     1.0        B-4                        
049660,001072: 04,3042           01000 00000  D1/32              2DEC     1.0        B-5                        
049661,001073: 04,3044           00020 00000  D1/1024            2DEC     1.0        B-10                       
049662,001074: 04,3046           00100 00000  D1/256             2DEC     1.0        B-8                        
049663,001075: 04,3050           34631 23146  DP9/10             2DEC     .9                                    
049664,001076: 04,3052  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
049665,001077: 04,3052           77467 77777  -50SC              2DEC     -50.0      B-12                       
049666,001078: 04,3054           03110 17665  2PISC              2DEC     6.28318530 B-6                        
049667,001079: 04,3056  04,3041               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
049668,001080: 04,3056  04,3045               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
049669,001081: 04,3056           00000 00001  ONEBIT             2DEC     1.0        B-28                       
049670,001082: 04,3060           37767 37737  COGUPLIM           2DEC     .999511597                            
049671,001083: 04,3062           40010 40040  COGLOLIM           2DEC     -.999511597                            
049672,001084: 

Page 1186

049674,001086: 12,2000                                           SETLOC   CONICS                                
049675,001087: 12,2000                                           BANK                                           
049676,001088: 
049677,001089: 12,2732                                           COUNT*   $$/CONIC                              
049678,001090: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
049679,001091: 12,2733           02710                                    RTNTT                                 
049680,001092: 12,2734           00001                                    0                                     
049681,001093: 12,2735           77600                           BOV                                            
049682,001094: 12,2736           24737                                    +1                                    
049683,001095: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
049684,001096: 12,2740           02655                                    RVEC                                  
049685,001097: 12,2741           02744                                    VVEC                                  
049686,001098: 12,2742           77624                           CALL                                           
049687,001099: 12,2743           11064                                    PARAM                                 
049688,001100: 12,2744           45000                           BOV      CALL                                  #                                PL AT 0
049689,001101: 12,2745           24764                                    COGAOVFL                              
049690,001102: 12,2746           24767                                    GETX                                  
049691,001103: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
049692,001104: 12,2750           00031                                    XI                                    
049693,001105: 12,2751           04310                                    INFINFLG                              
049694,001106: 12,2752           25742                                    ABTCONIC                              
049695,001107: 12,2753           45014                           CLEAR    CALL                                  
049696,001108: 12,2754           04273                                    COGAFLAG                              
049697,001109: 12,2755           24421                                    DELTIME                               
049698,001110: 12,2756           45014                           BON      CALL                                  
049699,001111: 12,2757           03706                                    RVSW                                  
049700,001112: 12,2760           02710                                    RTNTT                                 
049701,001113: 12,2761           24653                                    NEWSTATE                              
049702,001114: 12,2762           77650                           GOTO                                           
049703,001115: 12,2763           02710                                    RTNTT                                 
049704,001116: 
049705,001117: 12,2764           77614        COGAOVFL           SETGO                                          
049706,001118: 12,2765           04033                                    COGAFLAG                              
049707,001119: 12,2766           25742                                    ABTCONIC                              
049708,001120: 
049709,001121: 04,3064                                           BANK     4                                     
049710,001122: 04,2000                                           SETLOC   CONICS1                               
049711,001123: 04,2000                                           BANK                                           
049712,001124: 04,3064                                           COUNT*   $$/CONIC                              
049713,001125: 04,3064           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
049714,001126: 04,3065           02753                                    RTNPRM                                
049715,001127: 04,3066           03665                                    NORMSW                                
049716,001128: 04,3067           77614                           CLEAR                                          
049717,001129: 04,3070           04273                                    COGAFLAG                              
049718,001130: 04,3071           45131                           SSP      CALL                                  
049719,001131: 04,3072           02673                                    GEOMSGN                               
049720,001132: 04,3073           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
049721,001133: 04,3074           11130                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
049722,001134: 04,3075           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0
049723,001135: 04,3076           56261                           SR       DDV                                   

Page 1187

049725,001137: 04,3077           20606                                    5                                     
049726,001138: 04,3100           00045                                    36D                                   
049727,001139: 04,3101           32766                           STOVL*   COGA                                  
049728,001140: 04,3102           10005                                    MUTABLE,1                             
049729,001141: 04,3103           14017                           STODL    1/MU                                  
049730,001142: 04,3104           02720                                    MAGVEC2                               
049731,001143: 04,3105           60316                           DSQ      NORM                                  
049732,001144: 04,3106           00047                                    X1                                    
049733,001145: 04,3107           41275                           DMPR     DMP                                   
049734,001146: 04,3110           00017                                    1/MU                                  
049735,001147: 04,3111           00041                                    R1                                    
049736,001148: 04,3112           77657                           SRR*                                           
049737,001149: 04,3113           21576                                    0          -3,1                       
049738,001150: 04,3114           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
049739,001151: 04,3115           11043                                    D1/32                                 
049740,001152: 04,3116           16742                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
049741,001153: 
049742,001154: 04,3117           60205                           DMP      NORM                                  
049743,001155: 04,3120           00045                                    36D                                   
049744,001156: 04,3121           00047                                    X1                                    
049745,001157: 04,3122           53605                           DMP      SR*                                   
049746,001158: 04,3123           00045                                    36D                                   
049747,001159: 04,3124           20575                                    0          -4,1                       
049748,001160: 04,3125           02740                           STORE    P                                     #  P (+4)
049749,001161: 04,3126           77650                           GOTO                                           
049750,001162: 04,3127           02753                                    RTNPRM                                
049751,001163: 

Page 1188

049753,001165: 04,3130           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
049754,001166: 04,3131           16712                           STODL    U2                                    #  U2 (+1)
049755,001167: 04,3132           00045                                    36D                                   
049756,001168: 04,3133           26720                           STOVL    MAGVEC2                               #                                PL AT 0
049757,001169: 04,3134           77656                           UNIT                                           
049758,001170: 04,3135           02722                           STORE    UR1                                   #  UR1 (+1)
049759,001171: 04,3136           72441                           DOT      SL1                                   
049760,001172: 04,3137           02712                                    U2                                    
049761,001173: 04,3140           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
049762,001174: 04,3141           00045                                    36D                                   
049763,001175: 04,3142           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
049764,001176: 04,3143           02722                                    UR1                                   
049765,001177: 04,3144           76435                           VXV      VSL1                                  
049766,001178: 04,3145           02712                                    U2                                    
049767,001179: 04,3146           75214                           BON      SIGN                                  
049768,001180: 04,3147           03705                                    NORMSW                                
049769,001181: 04,3150           11162                                    HAVENORM                              
049770,001182: 04,3151           02673                                    GEOMSGN                               
049771,001183: 04,3152           40056                           UNIT     BOV                                   
049772,001184: 04,3153           11160                                    COLINEAR                              
049773,001185: 04,3154           16674        UNITNORM           STODL    UN                                    #  UN (+1)
049774,001186: 04,3155           00045                                    36D                                   
049775,001187: 04,3156           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049776,001188: 04,3157           02673                                    GEOMSGN                               
049777,001189: 
049778,001190: 04,3160           52162        COLINEAR           VSR1     GOTO                                  
049779,001191: 04,3161           11154                                    UNITNORM                              
049780,001192: 
049781,001193: 04,3162           75246        HAVENORM           ABVAL    SIGN                                  
049782,001194: 04,3163           02673                                    GEOMSGN                               
049783,001195: 04,3164           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049784,001196: 

Page 1189

049786,001198: 12,2767                                           BANK     12                                    
049787,001199: 12,2000                                           SETLOC   CONICS                                
049788,001200: 12,2000                                           BANK                                           
049789,001201: 
049790,001202: 12,2767                                           COUNT*   $$/CONIC                              
049791,001203: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
049792,001204: 12,2770           00003                                    3                                     
049793,001205: 12,2771           00052                                    S2                                    
049794,001206: 12,2772           00001                                    1                                     
049795,001207: 12,2773           77614                           CLEAR                                          
049796,001208: 12,2774           04276                                    360SW                                 
049797,001209: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
049798,001210: 12,2776           02732                                    CSTH                                  
049799,001211: 12,2777           44342                           SR1      BDSU                                  
049800,001212: 12,3000           11037                                    D1/4                                  
049801,001213: 12,3001           54325                           PDDL     SRR                                   #                                PL AT 4D
049802,001214: 12,3002           02730                                    SNTH                                  
049803,001215: 12,3003           21607                                    6                                     
049804,001216: 12,3004           77671                           DDV                                            #                                PL AT 2
049805,001217: 12,3005           77600                           BOV                                            
049806,001218: 12,3006           25122                                    360CHECK                              
049807,001219: 12,3007           41225                           DSU      DMP                                   
049808,001220: 12,3010           02766                                    COGA                                  #                                PL AT 0
049809,001221: 12,3011           40132                           SL2R     BOV                                   
049810,001222: 12,3012           25122                                    360CHECK                              
049811,001223: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
049812,001224: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
049813,001225: 12,3015           00155                                    MPAC                                  
049814,001226: 12,3016           02742                                    R1A                                   
049815,001227: 12,3017           76202                           SR4      TAD                                   #                                PL AT 2
049816,001228: 12,3020           75440                           BMN      SQRT                                  
049817,001229: 12,3021           25205                                    INFINITY                              
049818,001230: 12,3022           43306                           ROUND    DAD                                   #                                PL AT 0D
049819,001231: 12,3023           61000                           BOV      TIX,2                                 
049820,001232: 12,3024           25120                                    RESETX2                               
049821,001233: 12,3025           25013                                    WLOOP                                 
049822,001234: 
049823,001235: 12,3026           40065                           BDDV     BOV                                   
049824,001236: 12,3027           11033                                    D1/128                                
049825,001237: 12,3030           25205                                    INFINITY                              
049826,001238: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
049827,001239: 12,3032           25205                                    INFINITY                              
049828,001240: 12,3033           77716                           DSQ                                            
049829,001241: 12,3034           41301                           NORM     DMP                                   
049830,001242: 12,3035           00047                                    X1                                    
049831,001243: 12,3036           02742                                    R1A                                   
049832,001244: 12,3037           77457                           SRR*     EXIT                                  
049833,001245: 12,3040           21567                                    0          -10D,1                     
049834,001246: 12,3041           07222                           TC       POLY                                  

Page 1190

049836,001248: 12,3042           00005                           DEC      5          B-14                       
049837,001249: 12,3043           20000 00000                     2DEC     .5                                    
049838,001250: 12,3045           72525 52471                     2DEC     -.166666770                            
049839,001251: 12,3047           03146 15003                     2DEC     .100000392                            
049840,001252: 12,3051           75556 45210                     2DEC     -.071401086                            
049841,001253: 12,3053           01615 13553                     2DEC     .055503292                            
049842,001254: 12,3055           76371 63777                     2DEC     -.047264098                            
049843,001255: 12,3057           01232 27367                     2DEC     .040694204                            
049844,001256: 
049845,001257: 12,3061           06037                           TC       INTPRET                               
049846,001258: 12,3062           76405                           DMP      SL1R                                  #                                PL AT 0D
049847,001259: 12,3063           43006                           PUSH     BON                                   
049848,001260: 12,3064           04316                                    360SW                                 
049849,001261: 12,3065           25172                                    TRUE360X                              
049850,001262: 12,3066           60316        XCOMMON            DSQ      NORM                                  
049851,001263: 12,3067           00047                                    X1                                    
049852,001264: 12,3070           53605                           DMP      SRR*                                  
049853,001265: 12,3071           02742                                    R1A                                   
049854,001266: 12,3072           21565                                    0          -12D,1                     
049855,001267: 12,3073           14031                           STODL    XI                                    #  XI (+6)
049856,001268: 12,3074           00041                                    R1                                    
049857,001269: 12,3075           75542                           SR1      SQRT                                  
049858,001270: 12,3076           41306                           ROUND    DMP                                   
049859,001271: 12,3077           77632                           SL4R                                           #                                PL AT 0
049860,001272: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
049861,001273: 
049862,001274: 12,3101           60316                           DSQ      NORM                                  
049863,001275: 12,3102           00047                                    X1                                    
049864,001276: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049865,001277: 12,3104           02740                                    P                                     
049866,001278: 12,3105           00041                                    R1                                    
049867,001279: 12,3106           75452                           SL3      SQRT                                  
049868,001280: 12,3107           56405                           DMP      SL3R                                  
049869,001281: 12,3110           02766                                    COGA                                  
049870,001282: 12,3111           14043                           STODL    KEPC1                                 
049871,001283: 12,3112           02742                                    R1A                                   
049872,001284: 12,3113           43021                           BDSU     CLEAR                                 
049873,001285: 12,3114           11035                                    D1/64                                 
049874,001286: 12,3115           04270                                    INFINFLG                              
049875,001287: 12,3116           00045                           STORE    KEPC2                                 
049876,001288: 12,3117           77616                           RVQ                                            
049877,001289: 

Page 1191

049879,001291: 12,3120           77774        RESETX2            AXT,2                                          
049880,001292: 12,3121           00003                                    3                                     
049881,001293: 
049882,001294: 12,3122           51001        360CHECK           SETPD    BPL                                   
049883,001295: 12,3123           00001                                    0D                                    
049884,001296: 12,3124           25127                                    INVRSEQN                              
049885,001297: 12,3125           77614                           SET                                            
049886,001298: 12,3126           04076                                    360SW                                 
049887,001299: 
049888,001300: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
049889,001301: 12,3130           02740                                    P                                     
049890,001302: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
049891,001303: 12,3132           02730                                    SNTH                                  
049892,001304: 12,3133           02766                                    COGA                                  
049893,001305: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
049894,001306: 12,3135           02732                                    CSTH                                  
049895,001307: 12,3136           43202                           SR4      DAD                                   
049896,001308: 12,3137           11043                                    D1/32                                 
049897,001309: 12,3140           41225                           DSU      DMP                                   #                                PL AT 2,0
049898,001310: 12,3141           55301                           NORM     BDDV                                  
049899,001311: 12,3142           00047                                    X1                                    
049900,001312: 12,3143           02730                                    SNTH                                  
049901,001313: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
049902,001314: 12,3145           21174                                    0          -5,1                       
049903,001315: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
049904,001316: 12,3147           14043                           STODL    34D                                   
049905,001317: 12,3150           11041                                    D1/16                                 
049906,001318: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
049907,001319: 12,3152           65234                           RTB      PDDL                                  #                                PL AT 7
049908,001320: 12,3153           21633                                    TPMODE                                
049909,001321: 12,3154           02742                                    R1A                                   
049910,001322: 12,3155           40405                           DMP      SR4                                   
049911,001323: 12,3156           00043                                    34D                                   
049912,001324: 12,3157           77771                           TAD                                            #                                PL AT 4
049913,001325: 12,3160           75440                           BMN      SQRT                                  
049914,001326: 12,3161           25205                                    INFINITY                              
049915,001327: 12,3162           77615                           DAD                                            #                                PL AT 2
049916,001328: 12,3163           60304                           TIX,2    NORM                                  
049917,001329: 12,3164           25151                                    1/WLOOP                               
049918,001330: 12,3165           00047                                    X1                                    
049919,001331: 12,3166           77665                           BDDV                                           
049920,001332: 12,3167           52057                           SLR*     GOTO                                  #                                PL AT 0
049921,001333: 12,3170           21172                                    0          -7,1                       
049922,001334: 12,3171           25031                                    POLYCOEF                              
049923,001335: 
049924,001336: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
049925,001337: 12,3173           02742                                    R1A                                   

Page 1192

049927,001339: 12,3174           25205                                    INFINITY                              
049928,001340: 12,3175           60366                           SQRT     NORM                                  
049929,001341: 12,3176           00047                                    X1                                    
049930,001342: 12,3177           53665                           BDDV     SL*                                   
049931,001343: 12,3200           11055                                    2PISC                                 
049932,001344: 12,3201           20176                                    0          -3,1                       
049933,001345: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
049934,001346: 12,3203           77650                           GOTO                                           
049935,001347: 12,3204           25066                                    XCOMMON                               
049936,001348: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
049937,001349: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
049938,001350: 12,3207           25210                                    OVFLCLR                               
049939,001351: 12,3210           43414        OVFLCLR            SET      RVQ                                   
049940,001352: 12,3211           04070                                    INFINFLG                              
049941,001353: 

Page 1193

049943,001355: 12,3212           40220        LAMBERT            STQ      SETPD                                 
049944,001356: 12,3213           02710                                    RTNLAMB                               
049945,001357: 12,3214           00001                                    0D                                    
049946,001358: 12,3215           77600                           BOV                                            
049947,001359: 12,3216           25217                                    +1                                    
049948,001360: 12,3217           76614                           CLEAR    VLOAD*                                
049949,001361: 12,3220           02674                                    SOLNSW                                
049950,001362: 12,3221           10005                                    MUTABLE,1                             
049951,001363: 12,3222           14017                           STODL    1/MU                                  
049952,001364: 12,3223           02671                                    TDESIRED                              
049953,001365: 12,3224           77675                           DMPR                                           
049954,001366: 12,3225           11042                                    BEE19                                 
049955,001367: 12,3226           02764                           STORE    EPSILONL                              
049956,001368: 12,3227           77214                           SET      VLOAD                                 
049957,001369: 12,3230           00474                                    SLOPESW                               
049958,001370: 12,3231           02655                                    R1VEC                                 
049959,001371: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
049960,001372: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
049961,001373: 12,3234           11130                                    GEOM                                  
049962,001374: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
049963,001375: 12,3236           02720                                    MAGVEC2                               
049964,001376: 12,3237           65301                           NORM     PDDL                                  #                                PL AT 4
049965,001377: 12,3240           00047                                    X1                                    
049966,001378: 12,3241           00041                                    R1                                    
049967,001379: 12,3242           56342                           SR1      DDV                                   #                                PL AT 2
049968,001380: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
049969,001381: 12,3244           20173                                    0          -6,1                       
049970,001382: 12,3245           77626                           STADR                                          
049971,001383: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
049972,001384: 12,3247           44342                           SR1      BDSU                                  
049973,001385: 12,3250           11037                                    D1/4                                  
049974,001386: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
049975,001387: 
049976,001388: 12,3252           53106                           ROUND    BZE                                   
049977,001389: 12,3253           25463                                    360LAMB                               
049978,001390: 12,3254           65301                           NORM     PDDL                                  #                                PL AT 4
049979,001391: 12,3255           00047                                    X1                                    
049980,001392: 12,3256           00001                                    0D                                    
049981,001393: 12,3257           56342                           SR1      DDV                                   #                                PL AT 2
049982,001394: 12,3260           75457                           SL*      SQRT                                  
049983,001395: 12,3261           20176                                    0          -3,1                       
049984,001396: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
049985,001397: 12,3263           02730                                    SNTH                                  
049986,001398: 12,3264           20607                                    6                                     
049987,001399: 12,3265           43271                           DDV      DAD                                   #                                PL AT 2
049988,001400: 12,3266           02734                                    1-CSTH                                
049989,001401: 12,3267           77626                           STADR                                          
049990,001402: 12,3270           77760                           STORE    COGAMAX                               
049991,001403: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
049992,001404: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1194

049994,001406: 12,3273           25302                                    MAXCOGA                               #        THIS WOULD BE RESET IN LAMBLOOP
049995,001407: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
049996,001408: 12,3275           11061                                    COGUPLIM                              
049997,001409: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
049998,001410: 12,3277           77745        UPLIM              DLOAD                                          
049999,001411: 12,3300           11061                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
050000,001412: 12,3301           00017                           STORE    COGAMAX                               #        NOT CAUSING OVFL IN R1A CALCULATION
050001,001413: 12,3302           77745        MAXCOGA            DLOAD                                          
050002,001414: 12,3303           02732                                    CSTH                                  
050003,001415: 12,3304           45261                           SR       DSU                                   #                                PL AT 0
050004,001416: 12,3305           20607                                    6                                     
050005,001417: 12,3306           77626                           STADR                                          
050006,001418: 12,3307           61041                           STODL    CSTH-RHO                              
050007,001419: 12,3310           02673                                    GEOMSGN                               
050008,001420: 12,3311           71240                           BMN      DLOAD                                 
050009,001421: 12,3312           25503                                    LOLIM                                 
050010,001422: 12,3313           02736                                    CSTH-RHO                              
050011,001423: 12,3314           56352                           SL1      DDV                                   
050012,001424: 12,3315           02730                                    SNTH                                  
050013,001425: 12,3316           77600                           BOV                                            
050014,001426: 12,3317           25503                                    LOLIM                                 
050015,001427: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
050016,001428: 12,3321           66214                           BON      SSP                                   
050017,001429: 12,3322           00715                                    GUESSW                                
050018,001430: 12,3323           25467                                    NOGUESS                               
050019,001431: 12,3324           00051                                    TWEEKIT                               
050020,001432: 12,3325           00001                                    00001                                 
050021,001433: 12,3326           77745                           DLOAD                                          
050022,001434: 12,3327           02766                                    COGA                                  
050023,001435: 
050024,001436: 12,3330           77605        LAMBLOOP           DMP                                            
050025,001437: 12,3331           02730                                    SNTH                                  
050026,001438: 12,3332           45342                           SR1      DSU                                   
050027,001439: 12,3333           02736                                    CSTH-RHO                              
050028,001440: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
050029,001441: 12,3335           00047                                    X1                                    
050030,001442: 12,3336           02734                                    1-CSTH                                
050031,001443: 12,3337           56257                           SL*      DDV                                   #  1-CSTH (+2)                   PL AT 0
050032,001444: 12,3340           20170                                    0          -9D,1                      
050033,001445: 12,3341           53040                           BMN      BZE                                   
050034,001446: 12,3342           25417                                    NEGP                                  
050035,001447: 12,3343           25417                                    NEGP                                  
050036,001448: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
050037,001449: 12,3345           02766                                    COGA                                  
050038,001450: 12,3346           43316                           DSQ      DAD                                   
050039,001451: 12,3347           11045                                    D1/1024                               
050040,001452: 12,3350           41301                           NORM     DMP                                   
050041,001453: 12,3351           00047                                    X1                                    
050042,001454: 12,3352           02740                                    P                                     

Page 1195

050044,001456: 12,3353           44257                           SR*      BDSU                                  
050045,001457: 12,3354           20571                                    0          -8D,1                      
050046,001458: 12,3355           11043                                    D1/32                                 
050047,001459: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
050048,001460: 12,3357           02740                                    P                                     
050049,001461: 12,3360           45000                           BOV      CALL                                  
050050,001462: 12,3361           25422                                    HIENERGY                              
050051,001463: 12,3362           24767                                    GETX                                  
050052,001464: 12,3363           77745                           DLOAD                                          
050053,001465: 12,3364           00037                                    T                                     
050054,001466: 12,3365           16762                           STODL    TPREV                                 
050055,001467: 12,3366           00031                                    XI                                    
050056,001468: 12,3367           45014                           BON      CALL                                  
050057,001469: 12,3370           04310                                    INFINFLG                              
050058,001470: 12,3371           25417                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
050059,001471: 12,3372           24421                                    DELTIME                               
050060,001472: 12,3373           44200                           BOV      BDSU                                  
050061,001473: 12,3374           25437                                    BIGTIME                               
050062,001474: 12,3375           02671                                    TDESIRED                              
050063,001475: 12,3376           02760                           STORE    TERRLAMB                              
050064,001476: 12,3377           44246                           ABS      BDSU                                  
050065,001477: 12,3400           02764                                    EPSILONL                              
050066,001478: 12,3401           47044                           BPL      RTB                                   
050067,001479: 12,3402           25506                                    INITV                                 
050068,001480: 12,3403           24644                                    CHECKCTR                              
050069,001481: 12,3404           45030                           BHIZ     CALL                                  
050070,001482: 12,3405           25450                                    SUFFCHEK                              
050071,001483: 12,3406           24536                                    ITERATOR                              
050072,001484: 12,3407           53145                           DLOAD    BZE                                   
050073,001485: 12,3410           00155                                    MPAC                                  
050074,001486: 12,3411           25450                                    SUFFCHEK                              
050075,001487: 12,3412           77615                           DAD                                            
050076,001488: 12,3413           02766                                    COGA                                  
050077,001489: 12,3414           02766                           STORE    COGA                                  
050078,001490: 12,3415           77650                           GOTO                                           
050079,001491: 12,3416           25330                                    LAMBLOOP                              
050080,001492: 
050081,001493: 12,3417           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
050082,001494: 12,3420           00015                                    DCOGA                                 #  BOUND CALCULATION. TRY NEW COGA.
050083,001495: 12,3421           25442                                    LOENERGY                              
050084,001496: 
050085,001497: 12,3422           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
050086,001498: 12,3423           00001                                    0                                     
050087,001499: 12,3424           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
050088,001500: 12,3425           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
050089,001501: 12,3426           70545        COMMONLM           DLOAD    SR1                                   
050090,001502: 12,3427           00015                                    DCOGA                                 

Page 1196

050092,001504: 12,3430           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
050093,001505: 12,3431           44254                           BZE      BDSU                                  
050094,001506: 12,3432           25450                                    SUFFCHEK                              
050095,001507: 12,3433           02766                                    COGA                                  
050096,001508: 12,3434           02766                           STORE    COGA                                  
050097,001509: 12,3435           77650                           GOTO                                           #  RESTART THIS LOOP
050098,001510: 12,3436           25330                                    LAMBLOOP                              
050099,001511: 
050100,001512: 12,3437           77745        BIGTIME            DLOAD                                          
050101,001513: 12,3440           02762                                    TPREV                                 
050102,001514: 12,3441           00037                           STORE    T                                     
050103,001515: 
050104,001516: 12,3442           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
050105,001517: 12,3443           00001                                    0                                     
050106,001518: 12,3444           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
050107,001519: 12,3445           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
050108,001520: 12,3446           77650                           GOTO                                           
050109,001521: 12,3447           25426                                    COMMONLM                              
050110,001522: 
050111,001523: 12,3450           51545        SUFFCHEK           DLOAD    ABS                                   
050112,001524: 12,3451           02760                                    TERRLAMB                              
050113,001525: 12,3452           41325                           PDDL     DMP                                   #                                PL AT 2D
050114,001526: 12,3453           02671                                    TDESIRED                              
050115,001527: 12,3454           11030                                    BEE17                                 
050116,001528: 12,3455           45215                           DAD      DSU                                   #                                PL AT 0D
050117,001529: 12,3456           11057                                    ONEBIT                                
050118,001530: 12,3457           43044                           BPL      SETGO                                 
050119,001531: 12,3460           25506                                    INITV                                 
050120,001532: 12,3461           02434                                    SOLNSW                                
050121,001533: 12,3462           25506                                    INITV                                 
050122,001534: 12,3463           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
050123,001535: 12,3464           00001                                    0                                     
050124,001536: 12,3465           02434                                    SOLNSW                                
050125,001537: 12,3466           02710                                    RTNLAMB                               
050126,001538: 
050127,001539: 12,3467           71331        NOGUESS            SSP      DLOAD                                 
050128,001540: 12,3470           00051                                    TWEEKIT                               
050129,001541: 12,3471           10000                                    20000                                 
050130,001542: 12,3472           00011                                    COGAMIN                               
050131,001543: 12,3473           65342                           SR1      PDDL                                  #                                PL AT 2
050132,001544: 12,3474           00017                                    COGAMAX                               
050133,001545: 12,3475           43342                           SR1      DAD                                   
050134,001546: 12,3476           77626                           STADR                                          #                                PL AT 0
050135,001547: 12,3477           75011                           STORE    COGA                                  
050136,001548: 12,3500           00015                           STORE    DCOGA                                 
050137,001549: 12,3501           77650                           GOTO                                           

Page 1197

050139,001551: 12,3502           25330                                    LAMBLOOP                              
050140,001552: 
050141,001553: 12,3503           52145        LOLIM              DLOAD    GOTO                                  
050142,001554: 12,3504           11063                                    COGLOLIM                              #  COGLOLIM=-.999511597
050143,001555: 12,3505           25320                                    MINCOGA                               
050144,001556: 
050145,001557: 12,3506           60345        INITV              DLOAD    NORM                                  
050146,001558: 12,3507           00041                                    R1                                    
050147,001559: 12,3510           00047                                    X1                                    
050148,001560: 12,3511           70525                           PDDL     SR1                                   #                                PL AT 2
050149,001561: 12,3512           02740                                    P                                     
050150,001562: 12,3513           77671                           DDV                                            #                                PL AT 0
050151,001563: 12,3514           75457                           SL*      SQRT                                  
050152,001564: 12,3515           20175                                    0          -4,1                       
050153,001565: 12,3516           72405                           DMP      SL1                                   
050154,001566: 12,3517           00021                                    ROOTMU                                
050155,001567: 12,3520           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
050156,001568: 12,3521           02766                                    COGA                                  
050157,001569: 12,3522           74261                           SL       VXSC                                  
050158,001570: 12,3523           20206                                    5                                     
050159,001571: 12,3524           02722                                    UR1                                   
050160,001572: 12,3525           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
050161,001573: 12,3526           76561                           VXSC     VSL1                                  
050162,001574: 12,3527           02674                                    UN                                    
050163,001575: 12,3530           53235                           VXV      VAD                                   #                                PL AT 0
050164,001576: 12,3531           02722                                    UR1                                   
050165,001577: 12,3532           77772                           VSL1                                           
050166,001578: 12,3533           02744                           STORE    VVEC                                  
050167,001579: 12,3534           53135                           SLOAD    BZE                                   
050168,001580: 12,3535           02702                                    VTARGTAG                              
050169,001581: 12,3536           25541                                    TARGETV                               
050170,001582: 12,3537           77650                           GOTO                                           
050171,001583: 12,3540           02710                                    RTNLAMB                               
050172,001584: 
050173,001585: 12,3541           45145        TARGETV            DLOAD    CALL                                  
050174,001586: 12,3542           02720                                    MAGVEC2                               
050175,001587: 12,3543           24701                                    LAMENTER                              
050176,001588: 12,3544           02703                           STORE    VTARGET                               
050177,001589: 12,3545           77650                           GOTO                                           
050178,001590: 12,3546           02710                                    RTNLAMB                               
050179,001591: 

Page 1198

050181,001593: 12,3547           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
050182,001594: 12,3550           02710                                    RTNTR                                 
050183,001595: 12,3551           00001                                    0                                     
050184,001596: 12,3552           77600                           BOV                                            
050185,001597: 12,3553           25554                                    +1                                    
050186,001598: 12,3554           63375                           VLOAD    PDVL                                  #                                PL AT 6
050187,001599: 12,3555           02655                                    RVEC                                  
050188,001600: 12,3556           02744                                    VVEC                                  
050189,001601: 12,3557           77624                           CALL                                           
050190,001602: 12,3560           11064                                    PARAM                                 
050191,001603: 12,3561           71200                           BOV      DLOAD                                 #                                PL AT 0
050192,001604: 12,3562           24764                                    COGAOVFL                              
050193,001605: 12,3563           11043                                    D1/32                                 
050194,001606: 12,3564           41225                           DSU      DMP                                   
050195,001607: 12,3565           02742                                    R1A                                   
050196,001608: 12,3566           02740                                    P                                     
050197,001609: 12,3567           41366                           SQRT     DMP                                   
050198,001610: 12,3570           02766                                    COGA                                  
050199,001611: 12,3571           74212                           SL4      VXSC                                  
050200,001612: 12,3572           02712                                    U2                                    
050201,001613: 12,3573           45325                           PDDL     DSU                                   #                                PL AT 6
050202,001614: 12,3574           11035                                    D1/64                                 
050203,001615: 12,3575           02742                                    R1A                                   
050204,001616: 12,3576           52361                           VXSC     VSU                                   #                                PL AT 0
050205,001617: 12,3577           02722                                    UR1                                   
050206,001618: 12,3600           53512                           VSL4     UNIT                                  
050207,001619: 12,3601           77600                           BOV                                            
050208,001620: 12,3602           25660                                    CIRCULAR                              
050209,001621: 12,3603           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
050210,001622: 12,3604           02756                                    RDESIRED                              #  36D=ECC (+3)
050211,001623: 12,3605           00047                                    X1                                    
050212,001624: 12,3606           41325                           PDDL     DMP                                   #                                PL AT 8
050213,001625: 12,3607           00041                                    R1                                    
050214,001626: 12,3610           02740                                    P                                     
050215,001627: 12,3611           56257                           SL*      DDV                                   #                                PL AT 6
050216,001628: 12,3612           20201                                    0,1                                   
050217,001629: 12,3613           56225                           DSU      DDV                                   
050218,001630: 12,3614           11041                                    D1/16                                 
050219,001631: 12,3615           00045                                    36D                                   #  36D=ECC (+3)
050220,001632: 12,3616           00031                           STORE    COSF                                  
050221,001633: 12,3617           63400                           BOV      DSQ                                   
050222,001634: 12,3620           25664                                    BADR2                                 
050223,001635: 12,3621           50021                           BDSU     BMN                                   
050224,001636: 12,3622           11037                                    D1/4                                  
050225,001637: 12,3623           25664                                    BADR2                                 
050226,001638: 12,3624           75366                           SQRT     SIGN                                  
050227,001639: 12,3625           02755                                    SGNRDOT                               
050228,001640: 12,3626           77614                           CLEAR                                          
050229,001641: 12,3627           04272                                    APSESW                                

Page 1199

050231,001643: 12,3630           76561        TERMNVEC           VXSC     VSL1                                  
050232,001644: 12,3631           02674                                    UN                                    
050233,001645: 12,3632           63235                           VXV      PDVL                                  #  VXCH WITH 0D                  PL AT 0,6
050234,001646: 12,3633           00001                                    0D                                    
050235,001647: 12,3634           53361                           VXSC     VAD                                   #                                PL AT 0
050236,001648: 12,3635           00031                                    COSF                                  
050237,001649: 12,3636           41572                           VSL1     PUSH                                  #  0D=U2                         PL AT 6
050238,001650: 
050239,001651: 12,3637           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
050240,001652: 12,3640           02722                                    UR1                                   
050241,001653: 12,3641           25756                                    DP1/4                                 
050242,001654: 12,3642           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
050243,001655: 12,3643           25644                                    +1                                    #  CLEAR OVFIND IF SET
050244,001656: 12,3644           26732                           STOVL    CSTH                                  #  CSTH (+1)
050245,001657: 12,3645           02722                                    UR1                                   
050246,001658: 12,3646           76435                           VXV      VSL1                                  
050247,001659: 12,3647           72441                           DOT      SL1                                   
050248,001660: 12,3650           02674                                    UN                                    
050249,001661: 12,3651           16730                           STODL    SNTH                                  #  SNTH (+1)
050250,001662: 12,3652           02740                                    P                                     
050251,001663: 12,3653           77624                           CALL                                           
050252,001664: 12,3654           24767                                    GETX                                  
050253,001665: 12,3655           77614                           CLRGO                                          
050254,001666: 12,3656           02634                                    SOLNSW                                
050255,001667: 12,3657           24747                                    COMMNOUT                              
050256,001668: 
050257,001669: 12,3660           43001        CIRCULAR           SETPD    SETGO                                 
050258,001670: 12,3661           00001                                    0                                     
050259,001671: 12,3662           02434                                    SOLNSW                                
050260,001672: 12,3663           25742                                    ABTCONIC                              
050261,001673: 
050262,001674: 12,3664           75345        BADR2              DLOAD    SIGN                                  
050263,001675: 12,3665           24005                                    LODPHALF                              
050264,001676: 12,3666           00031                                    COSF                                  
050265,001677: 12,3667           14031                           STODL    COSF                                  
050266,001678: 12,3670           24007                                    KEPZERO                               
050267,001679: 12,3671           77614                           SETGO                                          
050268,001680: 12,3672           04032                                    APSESW                                
050269,001681: 12,3673           25630                                    TERMNVEC                              
050270,001682: 

Page 1200

050272,001684: 12,3674           40220        APSIDES            STQ      SETPD                                 #                                PL AT 0
050273,001685: 12,3675           02710                                    RTNAPSE                               
050274,001686: 12,3676           00001                                    0D                                    
050275,001687: 12,3677           77600                           BOV                                            
050276,001688: 12,3700           25701                                    +1                                    
050277,001689: 12,3701           63375                           VLOAD    PDVL                                  #                                PL AT 6
050278,001690: 12,3702           02655                                    RVEC                                  
050279,001691: 12,3703           02744                                    VVEC                                  
050280,001692: 12,3704           77624                           CALL                                           
050281,001693: 12,3705           11064                                    PARAM                                 
050282,001694: 12,3706           77600                           BOV                                            #                                PL AT 0
050283,001695: 12,3707           25710                                    GETECC                                
050284,001696: 12,3710           42405        GETECC             DMP      SL4                                   
050285,001697: 12,3711           02742                                    R1A                                   
050286,001698: 12,3712           75421                           BDSU     SQRT                                  
050287,001699: 12,3713           11035                                    D1/64                                 
050288,001700: 12,3714           02752                           STORE    ECC                                   
050289,001701: 12,3715           65215                           DAD      PDDL                                  #                                PL AT 2
050290,001702: 12,3716           11031                                    D1/8                                  
050291,001703: 12,3717           00041                                    R1                                    
050292,001704: 12,3720           72405                           DMP      SL1                                   
050293,001705: 12,3721           02740                                    P                                     
050294,001706: 12,3722           77671                           DDV                                            #                                PL AT 0
050295,001707: 12,3723           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)            PL AT 2
050296,001708: 12,3724           02742                                    R1A                                   
050297,001709: 12,3725           00047                                    X1                                    
050298,001710: 12,3726           53725                           PDDL     SL*                                   #                                PL AT 4
050299,001711: 12,3727           00041                                    R1                                    
050300,001712: 12,3730           20174                                    0          -5,1                       
050301,001713: 12,3731           45271                           DDV      DSU                                   #                                PL AT 2,0
050302,001714: 12,3732           50000                           BOV      BMN                                   
050303,001715: 12,3733           25737                                    INFINAPO                              
050304,001716: 12,3734           25737                                    INFINAPO                              
050305,001717: 12,3735           77650                           GOTO                                           
050306,001718: 12,3736           02710                                    RTNAPSE                               
050307,001719: 12,3737           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
050308,001720: 12,3740           24020                                    LDPOSMAX                              
050309,001721: 12,3741           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
050310,001722: 

Page 1201

050312,001724: 12,3742           77776        ABTCONIC           EXIT                                           
050313,001725: 12,3743           05652                           TC       POODOO                                
050314,001726: 12,3744           00607                           OCT      00607                                 
050315,001727: 

Page 1202

050317,001729: 12,3745  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
050318,001730: 
050319,001731:                                                                                                  #  ERASABLE ASSIGNMENTS
050320,001732: 
050321,001733:                                                                                                  #  KEPLER SUBROUTINE
050322,001734: 
050323,001735:                                                                                                  #        INPUT -
050324,001736:                                                                                                  #  RRECT         ERASE   +5
050325,001737:                                                                                                  #  VRECT         ERASE   +5
050326,001738:                                                                                                  #  TAU.          ERASE   +1

Handwritten "NEW" next to XKEP.

050328,001740:                                                                                                  #  XKEP          ERASE   +1
050329,001741:                                                                                                  #  TC            ERASE   +1
050330,001742:                                                                                                  #  XPREV         ERASE   +1
050331,001743: 12,3745                        1/MU               EQUALS   14D                                   
050332,001744: 12,3745                        ROOTMU             EQUALS   16D                                   
050333,001745: 12,3745                        1/ROOTMU           EQUALS   18D                                   
050334,001746: 
050335,001747:                                                                                                  #        OUTPUT -
050336,001748:                                                                                                  #  RCV           ERASE   +5
050337,001749:                                                                                                  #  VCV           ERASE   +5

The beginning of the next line is garbled, but I believe that it is RC with a hand-written correction to TC — RSB, 2016.

050339,001751:                                                                                                  #  RC            ERASE   +1
050340,001752:                                                                                                  #  XPREV         ERASE   +1
050341,001753: 
050342,001754:                                                                                                  #        DEBRIS -
050343,001755: 12,3745                        ALPHA              EQUALS   8D                                    
050344,001756: 12,3745                        XMAX               EQUALS   10D                                   
050345,001757: 12,3745                        XMIN               EQUALS   12D                                   
050346,001758: 12,3745                        X                  EQUALS   20D                                   
050347,001759: 12,3745                        XI                 EQUALS   24D                                   
050348,001760: 12,3745                        S(XI)              EQUALS   26D                                   
050349,001761: 12,3745                        XSQC(XI)           EQUALS   28D                                   
050350,001762: 12,3745                        T                  EQUALS   30D                                   
050351,001763: 12,3745                        R1                 EQUALS   32D                                   
050352,001764: 12,3745                        KEPC1              EQUALS   34D                                   
050353,001765: 12,3745                        KEPC2              EQUALS   36D                                   
050354,001766:                                                                                                  #  DELX          ERASE   +1
050355,001767:                                                                                                  #  DELT          ERASE   +1
050356,001768:                                                                                                  #  URRECT        ERASE   +5
050357,001769:                                                                                                  #  RCNORM        ERASE   +1
050358,001770:                                                                                                  #  XPREV         EQUALS  XKEP
050359,001771: 
050360,001772: 
050361,001773:                                                                                                  #  LAMBERT SUBROUTINE
050362,001774: 
050363,001775:                                                                                                  #        INPUT -
050364,001776:                                                                                                  #  R1VEC         ERASE   +5
050365,001777:                                                                                                  #  R2VEC         ERASE   +5
050366,001778:                                                                                                  #  TDESIRED      ERASE   +1
050367,001779:                                                                                                  #  GEOMSGN       ERASE   +0
050368,001780:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT

Page 1203

050370,001782:                                                                                                  #  COGA          ERASE   +1      INPUT ONLY IF GUESSW IS ZERO.
050371,001783:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
050372,001784:                                                                                                  #  UN            ERASE   +5      ONLY USED IF NORMSW IS 1
050373,001785:                                                                                                  #  VTARGTAG      ERASE   +0
050374,001786:                                                                                                  #  TWEEKIT       EQUALS  40D     ONLY USED IF GUESSW IS 0
050375,001787: 
050376,001788:                                                                                                  #        OUTPUT -
050377,001789:                                                                                                  #  VTARGET       ERASE   +5      AVAILABLE ONLY IF VTARGTAG IS ZERO.
050378,001790:                                                                                                  #  V1VEC         EQUALS  MPAC
050379,001791: 
050380,001792:                                                                                                  #        DEBRIS -
050381,001793:                                                                                                  #  RTNLAMB       ERASE   +0
050382,001794:                                                                                                  #  U2            ERASE   +5
050383,001795:                                                                                                  #  MAGVEC2       ERASE   +1
050384,001796:                                                                                                  #  UR1           ERASE   +5

There is a hand-written 32D to the right of the next line.

050386,001798:                                                                                                  #  R1            EQUALS  31D
050387,001799:                                                                                                  #  UN            ERASE   +5
050388,001800:                                                                                                  #  SNTH          ERASE   +1
050389,001801:                                                                                                  #  CSTH          ERASE   +1
050390,001802:                                                                                                  #  1-CSTH        ERASE   +1
050391,001803:                                                                                                  #  CSTH-RHO      ERASE   +1
050392,001804: 12,3745                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
050393,001805: 12,3745                        COGAMIN            EQUALS   8D                                    
050394,001806: 12,3745                        DCOGA              EQUALS   12D                                   
050395,001807:                                                                                                  #  TWEEKIT       EQUALS  40D
050396,001808:                                                                                                  #  P             ERASE   +1
050397,001809:                                                                                                  #  COGA          ERASE   +1
050398,001810:                                                                                                  #  R1A           ERASE   +1
050399,001811:                                                                                                  #  X             EQUALS  20D
050400,001812:                                                                                                  #  XSQ           EQUALS  22D
050401,001813:                                                                                                  #  XI            EQUALS  24D
050402,001814:                                                                                                  #  S(XI)         EQUALS  26D
050403,001815:                                                                                                  #  XSQC(XI)      EQUALS  28D
050404,001816:                                                                                                  #  T             EQUALS  30D
050405,001817:                                                                                                  #  KEPC1         EQUALS  34D
050406,001818:                                                                                                  #  KEPC2         EQUALS  36D
050407,001819:                                                                                                  #  SLOPESW
050408,001820:                                                                                                  #  SOLNSW
050409,001821: 
050410,001822:                                                                                                  #        OTHERS -
050411,001823:                                                                                                  #  RVEC          EQUALS  R1VEC
050412,001824:                                                                                                  #  VVEC          ERASE   +5
050413,001825:                                                                                                  #  COGAFLAG
050414,001826:                                                                                                  #  RVSW
050415,001827:                                                                                                  #  INFINFLG
050416,001828:                                                                                                  #  APSESW
050417,001829:                                                                                                  #  360SW
050418,001830:                                                                                                  #  RTNTT         EQUALS  RTNLAMB
050419,001831:                                                                                                  #  ECC           ERASE   +1
050420,001832:                                                                                                  #  RTNTR         EQUALS  RTNLAMB

Page 1204

050422,001834:                                                                                                  #  RTNAPSE       EQUALS  RTNLAMB
050423,001835:                                                                                                  #  R2            EQUALS  MAGVEC2
050424,001836: 12,3745                        COSF               EQUALS   24D                                   
050425,001837:                                                                                                  #  RTNPRM        ERASE   +0
050426,001838:                                                                                                  #  SGNRDOT       ERASE   +0
050427,001839:                                                                                                  #  RDESIRED      ERASE   +1
050428,001840: 
050429,001841: 
050430,001842:                                                                                                  #  ITERATOR SUBROUTINE
050431,001843:                                                                                                  #  ORDERSW
050432,001844: 12,3745                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
050433,001845: 12,3745                        MIN                EQUALS   8D                                    

"E5,1765" is hand-written next to the following.

050435,001847:                                                                                                  #  INDEP         ERASE   +1
050436,001848: 12,3745                        DELINDEP           EQUALS   12D                                   
050437,001849: 12,3745                        ITERCTR            EQUALS   22D                                   
050438,001850: 12,3745                        DEP                EQUALS   30D                                   

"E5,1757" is hand-written next to the following.

050440,001852:                                                                                                  #  DELDEP        ERASE   +1

"E5,1761" is hand-written next to the following.

050442,001854:                                                                                                  #  DEPREV        ERASE   +1
050443,001855: 12,3745                        TWEEKIT            EQUALS   40D                                   
050444,001856: 
050445,001857: 
050446,001858:                                                                                                  #  MORE KEPLER
050447,001859:                                                                                                  #  EPSILONT      ERASE   +1
050448,001860: 
050449,001861: 
050450,001862:                                                                                                  #  MORE LAMBERT
050451,001863:                                                                                                  #  TERRLAMB      EQUALS  DELDEP
050452,001864:                                                                                                  #  TPREV         EQUALS  DEPREV
050453,001865: 
050454,001866:                                                                                                  #  EPSILONL      EQUALS  EPSILONT +2     DOUBLE PRECISION WORD

End of include-file CONIC_SUBROUTINES.agc.  Parent file is MAIN.agc