Source Code

These source-code files derive from a printout of Luminary 116 (the Apollo 12 Lunar Module guidance computer program), from the personal library of original AGC developer Don Eyles, digitally photographed at archive.org, financially sponsored by Ron Burkey, and transcribed to source code by a team of volunteers. This colorized, syntax-highlighted form was created by assembling that transcribed source code. Note that the full page images are available on the Virtual AGC project page at archive.org, while reduced-size images are presented at the VirtualAGC project website. Report or fix any transcription errors at the Virtual AGC project code repository.

Notations on the program listing read, in part:

	GAP:  ASSEMBLE REVISION 116 OF AGC PROGRAM LUMINARY BY NASA 2021112-071
	19:09 AUG. 11,1969
Note that the date is the date of the printout, not the date of the program revision.

048669,000002:                                                                                                  ## Copyright:   Public domain.
048670,000003:                                                                                                  ## Filename:    CONIC_SUBROUTINES.agc
048671,000004:                                                                                                  ## Purpose:     A section of Luminary revision 116.
048672,000005:                                                                                                  ##              It is part of the source code for the Lunar Module's (LM)
048673,000006:                                                                                                  ##              Apollo Guidance Computer (AGC) for Apollo 12.
048674,000007:                                                                                                  ##              This file is intended to be a faithful transcription, except
048675,000008:                                                                                                  ##              that the code format has been changed to conform to the
048676,000009:                                                                                                  ##              requirements of the yaYUL assembler rather than the
048677,000010:                                                                                                  ##              original YUL assembler.
048678,000011:                                                                                                  ## Reference:   pp. 1151-1195
048679,000012:                                                                                                  ## Assembler:   yaYUL
048680,000013:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
048681,000014:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
048682,000015:                                                                                                  ## Mod history: 2017-01-22 MAS  Created from Luminary 99.
048683,000016:                                                                                                  ##              2017-01-28 RSB  WTIH -> WITH and WHCIH -> WHICH.
048684,000017:                                                                                                  ##              2017-03-13 RRB  Updated with Luminary 116.
048685,000018:                                                                                                  ##              2017-03-14 RSB  Proofed comment-text via 3-way diff
048686,000019:                                                                                                  ##                              vs Luminary 99 and 131. Added a few lines
048687,000020:                                                                                                  ##                              of missing code at the bottom of page 1187.
048688,000021:                                                                                                  ##              2017-03-15 RSB  Comment-text fixes identified in 5-way
048689,000022:                                                                                                  ##                              side-by-side diff of Luminary 69/99/116/131/210.
048690,000023:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified in diff'ing
048691,000024:                                                                                                  ##                              Luminary 99 vs Comanche 55.
048692,000025:                                                                                                  ##              2017-03-19 HG   Add missing sequence of statemens with label NEGP
048693,000026:                                                                                                  ##                              Fix interpretive operator BCN --> BON
048694,000027: 

Page 1151

048696,000029:                                                                                                  #  PROGRAM DESCRIPTION - ENTIRE CONIC SUBROUTINE LOG SECTION                       DATE - 1 SEPTEMBER 1967
048697,000030:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
048698,000031:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
048699,000032: 
048700,000033:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048701,000034:                                                                                                  #       THE FOLLOWING SET OF SUBROUTINES SOLVE VARIOUS PROBLEMS INVOLVING THE TRAJECTORY PRODUCED BY A CENTRAL
048702,000035:                                                                                                  #  INVERSE-SQUARE FORCE ACTING ON A POINT MASS, AS OUTLINED IN THE CMC AND LGC LUNAR LANDING MISSION GSOP, SECTION
048703,000036:                                                                                                  #  5.5.1.2.  A GENERAL USAGE POINT-OF-VIEW WAS TAKEN IN FORMULATING, MECHANIZING, AND SCALING THE SUBROUTINES,
048704,000037:                                                                                                  #  RATHER THAN OPTIMIZING EACH FOR A PARTICULAR USE.  THEREFORE, MULTIPLE USAGE CAN BE MADE OF THE SUBROUTINES
048705,000038:                                                                                                  #  INVOLVING ANY REALISTIC SET OF CONSTRAINTS.  IT SHOULD BE NOTED THAT ONLY ONE SET OF CODING IS USED, WHETHER THE
048706,000039:                                                                                                  #  EARTH, MOON, OR ANY OTHER CELESTIAL BODY IS SPECIFIED AS THE CENTRAL BODY OF THE PROBLEM, PROVIDED ONE OBSERVES
048707,000040:                                                                                                  #  THE INHERENT SCALE CHANGE REQUIRED IN POSITION, VELOCITY, MU, AND TIME, AS OUTLINED IN MISSION PROGRAMMING
048708,000041:                                                                                                  #  DEFINITION MEMO NO. 10.  THIS CAN BE ACCOMPLISHED BY SIMPLY ADDING TO THE MUTABLE AND INITIALIZING THE SUBROU-
048709,000042:                                                                                                  #  TINES APPROPRIATELY.
048710,000043:                                                                                                  #       DUE TO THE UNIFORMITY OF THE EQUATIONS INVOLVED, CODING WAS MINIMIZED BY TREATING INDIVIDUAL EQUATIONS AND
048711,000044:                                                                                                  #  BLOCKS OF EQUATIONS AS SUBROUTINES OF LOWER RANK WHENEVER POSSIBLE.  AS A RESULT, THREE BY-PRODUCTS SUBROUTINES,
048712,000045:                                                                                                  #  DIRECTLY USABLE AS INDEPENDENT SUBROUTINES, WERE GENERATED.
048713,000046: 
048714,000047:                                                                                                  #  RESTRICTIONS -
048715,000048:                                                                                                  #       THE ONLY LIMITATION IN THE SCOPE OF PROBLEM WHICH CAN BE SOLVED BY A PARTICULAR SUBROUTINE IS THE SCALING
048716,000049:                                                                                                  #  LIMIT OF EACH PARAMETER AS SPECIFIED IN THE GSOP.  THESE SCALING LIMITS WERE CHOSEN SO THAT ALL FEASIBLE TRAJEC-
048717,000050:                                                                                                  #  TORIES COULD BE HANDLED.
048718,000051: 
048719,000052:                                                                                                  #       SINCE THE SUBROUTINES (EXCEPT KEPLER) USE COMMON SUBROUTINES OF LOWER RANK WHICH USE ERASABLE OTHER THAN
048720,000053:                                                                                                  #  THE PUSHLIST (DUE TO ITS LIMITED SIZE) AND COMMON INTERPRETIVE SWITCHES, THE CONIC SUBROUTINES CANNOT BE ALLOWED
048721,000054:                                                                                                  #  TO INTERRUPT EACH OTHER.  IT IS UP TO THE USER TO GUARANTEE THIS CONDITION.
048722,000055: 

Page 1152

048724,000057:                                                                                                  #  PROGRAM DESCRIPTION - KEPLER SUBROUTINE                                DATE - 11 OCTOBER 1967
048725,000058:                                                                                                  #  MOD NO. -1                                                                     LOG SECTION - CONIC SUBROUTINES
048726,000059:                                                                                                  #  MOD BY KRAUSE                                                          ASSEMBLY - COLOSSUS 103 AND SUNDANCE 222
048727,000060:                                                                                                  #  MOD NO. - 2 (AUGUST 1968) BY ROBERTSON: TO PERMIT BACKDATING BY MORE THAN ONE ORBITAL PERIOD.
048728,000061:                                                                                                  #  MOD NO. - 3 (DEC 1968) BY ROBERTSON:  SUPPRESSION OF X-MODULO-ING
048729,000062:                                                                                                  #  MOD. NO. - 4 (JAN 1969) BY ROBERTSON:  CLEAR OVFIND AT KEPLER ENTRY
048730,000063: 
048731,000064:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048732,000065:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND THE DESIRED TRANSFER TIME THROUGH WHICH THE STATE IS TO
048733,000066:                                                                                                  #  BE UPDATED ALONG A CONIC TRAJECTORY, COMPUTES THE NEW, UPDATED STATE VECTOR.  THE TRAJECTORY MAY BE ANY CONIC
048734,000067:                                                                                                  #  SECTION - CIRCULAR, ELLIPTIC, PARABOLIC, HYPERBOLIC, OR RECTILINEAR WITH RESPECT TO THE EARTH OR THE MOON.  THE
048735,000068:                                                                                                  #  USE OF THE SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT
048736,000069:                                                                                                  #  INTRODUCING ANY CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERA-
048737,000070:                                                                                                  #  TION TECHNIQUE IS UTILIZED IN THE COMPUTATION.
048738,000071:                                                                                                  #       IF A NEGATIVE TIME-OF-FLIGHT IS INPUT, THE PROGRAM WILL SOLVE FOR THE STATE WHICH WOULD BE PRODUCED BY
048739,000072:                                                                                                  #  EXTRAPOLATING THE POSITION BACKWARD IN TIME.
048740,000073:                                                                                                  #       IF THE ABSOLUTE VALUE OF THE DESIRED TRANSFER TIME EXCEEDS THE ORBITAL PERIOD, THE SUBROUTINE, THROUGH A
048741,000074:                                                                                                  #   MODULAR TECHNIQUE, WILL COMPUTE THE STATE CORRESPONDING TO THE DESIRED TIME (WHETHER POSITIVE OR NEGATIVE).
048742,000075: 
048743,000076:                                                                                                  #  THE RESTRICTIONS ARE -
048744,000077:                                                                                                  #       1. (PREVIOUS RESTRICTION ON THE NEGATIVE DESIRED TRANSFER TIME IS NOW DELETED.)
048745,000078:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM CANNOT EXCEED THEIR SCALING LIMITS AS SPECIFIED IN THE GSOP.  IF
048746,000079:                                                                                                  #  ANY OF THESE LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048747,000080: 
048748,000081:                                                                                                  #       THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATION SPEED IS DEPENDENT ON THE ACCURACY OF THE
048749,000082:                                                                                                  #  GUESS, XKFPNEW.  THE AGC COMPUTATION TIME IS APPROXIMATELY .061 SECONDS FOR INITIALIZATION, .065 SECONDS FOR THE
048750,000083:                                                                                                  #  FINAL COMPUTATIONS, PLUS .083 SECONDS FOR EACH ITERATION.
048751,000084: 
048752,000085:                                                                                                  #  REFERENCES -
048753,000086:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP, SECTION 5.5, SGA
048754,000087:                                                                                                  #  MEMO 67-4.
048755,000088: 
048756,000089:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048757,000090:                                                                                                  #          * SCALE FACTOR *
048758,000091:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048759,000092:                                                                                                  #  --------*--------------*                         -----------------------
048760,000093:                                                                                                  #  RRECT   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048761,000094:                                                                                                  #          * +27 FOR MOON *

Page 1153

048763,000096:                                                                                                  #  VRECT   * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048764,000097:                                                                                                  #          * +5 FOR MOON  *
048765,000098:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048766,000099:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY
048767,000100:                                                                                                  #  TAU.    * +28          *DESIRED TRANSFER TIME IN CENTISECONDS (DP)
048768,000101:                                                                                                  #          *              *    MAY BE POS OR NEG AND ABSOLUTE VALUE MAY BE GREATER OR LESS THAN ONE ORBITAL PERIOD.
048769,000102:                                                                                                  #  XKEPNEW * +17 FOR EARTH*DP GUESS OF ROOT X OF KEPLERS EQN IN SQRT(METERS). SIGN SHOULD AGREE WITH THAT OF TAU.
048770,000103:                                                                                                  #          * +16 FOR MOON *    AND ABS VALUE SHOULD BE LESS THAN THAT CORRESPONDING TO A PERIOD, VIZ, 2PI SQRT(SEMI-
048771,000104:                                                                                                  #          *              *    MAJOR AXIS), FOR SPEED OF CONVERGENCE, BUT IF EITHER CONDITION FAILS, XKEPNEW IS RESET
048772,000105:                                                                                                  #          *              *    BY KEPLER TO A POOR BUT VALID GUESS.
048773,000106:                                                                                                  #  TC      * +28          *DP PREV. VALUE OF TIME IN CENTISECS.  MUST BE LESS THAN ONE ORBITAL PERIOD.
048774,000107:                                                                                                  #  XPREV   * +17 FOR EARTH*DP PREV. VALUE OF X IN SQRT(METERS).  MUST BE LESS THAN AN X CORRESPONDING TO ONE
048775,000108:                                                                                                  #          * +16 FOR MOON *    ORBITAL PERIOD, VIZ, 2PI SQRT(SEMI-MAJOR AXIS)
048776,000109: 
048777,000110:                                                                                                  #  SUBROUTINES CALLED -
048778,000111:                                                                                                  #       DELTIME
048779,000112: 
048780,000113:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048781,000114:                                                                                                  #  KEPRTN-2 GOTO                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048782,000115:                                                                                                  #  KEPRTN-1        KEPLER          RETURNS WITH XPREV IN MPAC. PL IS AT 0.
048783,000116:                                                                                                  #  KEPRTN   ...                    CONTINUE
048784,000117: 
048785,000118:                                                                                                  #  KEPLER MUST NOT BE CALLED DIRECTLY SINCE AN INTERRUPTION OF IT WOULD DESTROY THE ERASABLES IT NEEDS TO COMPLETE
048786,000119:                                                                                                  #  THE INTERRUPTED JOB.  THEREFORE THE USER MUST CALL CSMCONIC OR LEMCONIC WHICH GUARANTEES NO INTERRUPTS AND WHICH
048787,000120:                                                                                                  #  ALSO CALLS KEPPREP TO COMPUTE A GUESS OF XKEPNEW.
048788,000121: 
048789,000122:                                                                                                  #  ABORT EXIT MODES -
048790,000123:                                                                                                  #       NONE
048791,000124: 
048792,000125:                                                                                                  #  OUTPUT -
048793,000126:                                                                                                  #          * SCALE FACTOR *
048794,000127:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048795,000128:                                                                                                  #  --------*--------------*                         -----------------------
048796,000129:                                                                                                  #  RCV     * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS
048797,000130:                                                                                                  #          * +27 FOR MOON *
048798,000131:                                                                                                  #  VCV     * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC
048799,000132:                                                                                                  #          * +5 FOR MOON  *
048800,000133:                                                                                                  #  TC      * +28          *DP TRANSFER TIME IN CENTISECS TO WHICH KEPLER CONVERGED. ALWAYS LESS THAN ONE PERIOD.
048801,000134:                                                                                                  #  XPREV   * +17 FOR EARTH*DP VALUE OF X IN SQRT(METERS) TO WHCIH KEPLER CONVERGED. ALWAYS LESS THAN THE X
048802,000135:                                                                                                  #          * +16 FOR MOON *    CORRESPONDING TO ONE PERIOD.

Page 1154

048804,000137:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048805,000138: 
048806,000139:                                                                                                  #  DEBRIS -
048807,000140:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
048808,000141:                                                                                                  #          * SCALE FACTOR *
048809,000142:                                                                                                  #  VARIABLE*IN POWERS OF 2*                 DESCRIPTION AND REMARKS
048810,000143:                                                                                                  #  --------*--------------*                 -----------------------
048811,000144:                                                                                                  #  URRECT  * +1           *DP UNIT VECTOR OF INITIAL POSITION
048812,000145:                                                                                                  #  R1      * +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION IN METERS
048813,000146:                                                                                                  #          * +27 FOR MOON *
048814,000147:                                                                                                  #  ALPHA   * -22 FOR EARTH*DP INVERSE OF SEMIMAJOR AXIS IN 1/METERS
048815,000148:                                                                                                  #          * -20 FOR MOON *
048816,000149:                                                                                                  #  TMODULO * +28          *DP INTEGRAL NUMBER OF PERIODS IN CENTISECS. WHICH WAS SUBTRACTED FROM TAU. TO PRODUCE A
048817,000150:                                                                                                  #          *              *TAU. OF LESS THAN ONE PERIOD.
048818,000151: 
048819,000152:                                                                                                  #       PARAMETERS OF NO USE -
048820,000153:                                                                                                  #  DP PARAMETERS - EPSILONT, DELX, DELT, RCNORM, XMODULO, PLUS PUSHLIST REGISTERS 0 THROUGH 39D.
048821,000154: 

Page 1155

048823,000156: 
048824,000157:                                                                                                  #  PROGRAM DESCRIPTION - LAMBERT SUBROUTINE                                         DATE - 1 SEPTEMBER 1967
048825,000158:                                                                                                  #  MOD NO. - 0                                                                      LOG SECTION - CONIC SUBROUTINES
048826,000159:                                                                                                  #  MOD BY KRAUSE                                                                    ASSEMBLY - COLOSSUS REVISION 88
048827,000160: 
048828,000161:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048829,000162:                                                                                                  #       THIS SUBROUTINE CALCULATES THE INITIAL VELOCITY REQUIRED TO TRANSFER A POINT-MASS ALONG A CONIC TRAJECTORY
048830,000163:                                                                                                  #  FROM AN INITIAL POSITION TO A TERMINAL POSITION IN A PRESCRIBED TIME INTERVAL.  THE RESULTING TRAJECTORY MAY BE
048831,000164:                                                                                                  #  A SECTION OF A CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE
048832,000165:                                                                                                  #  SUBROUTINE CAN BE EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY
048833,000166:                                                                                                  #  CODING CHANGES, ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.  AN ITERATION TECHNIQUE IS
048834,000167:                                                                                                  #  UTILIZED IN THE COMPUTATION.
048835,000168: 
048836,000169:                                                                                                  #  THE RESTRICTIONS ARE -
048837,000170:                                                                                                  #       1. RECTILINEAR TRAJECTORIES CANNOT BE COMPUTED.
048838,000171:                                                                                                  #       2. AN ACCURACY DEGRADATION OCCURS AS THE COSINE OF THE TRUE ANOMALY DIFFERENCE APPROACHES +1.0.
048839,000172:                                                                                                  #       3. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048840,000173:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
048841,000174:                                                                                                  #       4. NEGATIVE TRANSFER TIME IS AMBIGUOUS AND WILL RESULT IN NO SOLUTION.
048842,000175:                                                                                                  #       5. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE
048843,000176:                                                                                                  #  LIMITS ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048844,000177: 
048845,000178:                                                                                                  #       THE NUMBER OF ITERATIONS AND, THEREFORE, THE COMPUTATIONS SPEED IS DEPENDENT ON THE ACCURACY OF THE FIRST
048846,000179:                                                                                                  #  GUESS OF THE INDEPENDENT VARIABLE, COGA.                                THE AGC COMPUTATION TIME IS APPROXIMATE-
048847,000180:                                                                                                  #  LY .105 SECONDS FOR INITIALIZATION, .069 SECONDS FOR FINAL COMPUTATIONS, PLUS .205 SECONDS FOR EACH ITERATION.
048848,000181: 
048849,000182:                                                                                                  #  REFERENCES -
048850,000183:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP - SECTION 5.5, SGA MEMO 67-8,
048851,000184:                                                                                                  #  SGA MEMO 67-4.
048852,000185: 
048853,000186:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048854,000187: 
048855,000188:                                                                                                  #          * SCALE FACTOR *
048856,000189:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048857,000190:                                                                                                  #  --------*--------------*                         -----------------------
048858,000191:                                                                                                  #  R1VEC   * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048859,000192:                                                                                                  #          * +27 FOR MOON *
048860,000193:                                                                                                  #  R2VEC   * +29 FOR EARTH*DP TARGET OR TERMINAL POSITION VECTOR IN METERS
048861,000194:                                                                                                  #          * +27 FOR MOON *
048862,000195:                                                                                                  #  TDESIRED* +28          *DP DESIRED TRANSFER TIME IN CENTISECONDS
048863,000196:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048864,000197:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY
048865,000198:                                                                                                  #  GEOMSGN * NONE         *SP +.5 IF DESIRED TRANSFER ANGLE IS LESS THAN 180 DEGREES, -.5 IF GREATER THAN 180 DEG.
048866,000199:                                                                                                  #  GUESSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF NO GUESS OF COGA IS AVAILABLE, CLEAR IF A GUESS OF

Page 1156

048868,000201:                                                                                                  #          *              *COGA IS TO BE USED BY LAMBERT
048869,000202:                                                                                                  #  COGA    * +5           *DP GUESS OF COTANGNT OF FLIGHT PATH ANGLE (MEASURED FROM VERTICAL).  THIS WILL BE
048870,000203:                                                                                                  #                         *IGNORED IF GUESSW IS SET.
048871,000204:                                                                                                  #  NORMSW  * NONE         *AN INTERPRETER SWITCH TO BE SET IF UN IS TO BE AN INPUT TO THE SUBROUTINE, CLEAR IF
048872,000205:                                                                                                  #          *              *LAMBERT IS TO COMPUTE ITS OWN NORMAL (UN).
048873,000206:                                                                                                  #  UN      * +1           *DP UNIT NORMAL TO THE DESIRED ORBIT PLANE IN THE DIRECTION OF THE RESULTING ANGULAR
048874,000207:                                                                                                  #          *              *MOMENTUM VECTOR.  THIS WILL BE IGNORED IF NORMSW IS CLEAR.
048875,000208:                                                                                                  #  VTARGTAG* NONE         *A S.P. TAG TO BE SET TO ZERO IF LAMBERT IS TO COMPUTE THE VELOCITY AT R2VEC AS WELL AS
048876,000209:                                                                                                  #          *              *AT R1VEC.
048877,000210:                                                                                                  #  ITERCTR * NONE         *A S.P. COUNTER WHICH SPECIFIES THE MAXIMUM NUMBER OF ITERATIONS ALLOWABLE.
048878,000211:                                                                                                  #          *              *(AN ITERATION MEANS A PASS THRU KEPLER EQN (DELTIME). AT LEAST ONE OF THESE MUST
048879,000212:                                                                                                  #          *              *ALWAYS OCCUR, EVEN IF COGA CORRESPONDING TO SOLUTION WERE INPUT AS A GUESS.)
048880,000213:                                                                                                  #          *              *TWENTY ITERATIONS ARE SUFFICIENT TO SOLVE ALL PROBLEMS INCLUDING THOSE WITHOUT GUESS.
048881,000214: 
048882,000215:                                                                                                  #  SUBROUTINES CALLED -
048883,000216:                                                                                                  #       GEOM, GETX, DELTIME, ITERATOR, LAMENTER (PART OF NEWSTATE)
048884,000217: 
048885,000218:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048886,000219:                                                                                                  #  L        CALL                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048887,000220:                                                                                                  #  L+1             LAMBERT         RETURNS WITH PL AT 0 AND WITH VVEC IN MPAC IF VTARGTAG WAS NON-ZERO OR VTARGET
048888,000221:                                                                                                  #                                  IN MPAC IF VTARGTAG WAS ZERO
048889,000222:                                                                                                  #  L+2      BON                    CONTINUE IF SOLNSW CLEAR SINCE SOLUTION IS ACCEPTABLE
048890,000223:                                                                                                  #  L+3             SOLNSW
048891,000224:                                                                                                  #  L+4             LAMABORT
048892,000225: 
048893,000226:                                                                                                  #       IF A LAMBERT RESULT IS TO BE A FIRST GUESS FOR THE NEXT LAMBERT CALCULATION, COGA MUST BE PRESERVED AND
048894,000227:                                                                                                  #  GUESSW MUST BE CLEAR FOR EACH SUCCEEDING LAMBERT CALL.
048895,000228: 
048896,000229:                                                                                                  #  ABORT EXIT MODES -
048897,000230:                                                                                                  #       IF SOLNSW WAS SET UPON EXITING, EITHER LAMBERT WAS ASKED TO COMPUTE A TRANSFER TOO NEAR 0 OR 360 DEG, OR T
048898,000231:                                                                                                  #  WAS TOO SMALL TO PRODUCE A REALISTIC TRANSFER BETWEEN R1VEC AND R2VEC.  IN EITHER CASE THE FIX MUST BE MADE
048899,000232:                                                                                                  #  ACCORDING TO THE NEEDS OF THE PARTICULAR USER.  THE ABORT EXIT MODE MAY BE CODED AS ...
048900,000233:                                                                                                  #  LAMABORT DLOAD  ABS                     A MEASURE OF PROXIMITY TO 0 OR
048901,000234:                                                                                                  #                  1-CSTH                  360 DEGREES.
048902,000235:                                                                                                  #           DSU    BMN
048903,000236:                                                                                                  #                  ONEBIT
048904,000237:                                                                                                  #                  CHANGER2                CHANGE R2VEC DIRECTION SLIGHTLY.
048905,000238:                                                                                                  #           DLOAD  DAD
048906,000239:                                                                                                  #                  TDESIRED
048907,000240:                                                                                                  #                  SOMETIME
048908,000241:                                                                                                  #           STCALL TDESIRED                INCREASE TDESIRED
048909,000242:                                                                                                  #                  LAMBERT
048910,000243: 

Page 1157

048912,000245:                                                                                                  #  OUTPUT -
048913,000246:                                                                                                  #          * SCALE FACTOR *
048914,000247:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048915,000248:                                                                                                  #  --------*--------------*                         -----------------------
048916,000249:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND REQUIRED TO SATISFY THE BOUNDARY VALUE
048917,000250:                                                                                                  #          * +5 FOR MOON  *PROBLEM.
048918,000251:                                                                                                  #  VTARGET * +7 FOR EARTH *DP RESULTANT VELOCITY VECTOR AT R2VEC IN METERS/CENTISECOND.
048919,000252:                                                                                                  #          * +5 FOR MOON  *
048920,000253:                                                                                                  #  SOLNSW  * NONE         *INTERPRETER SWITCH WHICH IS SET IF THE SUBROUTINE CANNOT SOLVE THE PROBLEM, CLEAR IF THE
048921,000254:                                                                                                  #          *              *               SOLUTION EXISTS.
048922,000255:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
048923,000256: 
048924,000257:                                                                                                  #  DEBRIS -
048925,000258:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
048926,000259: 
048927,000260:                                                                                                  #          * SCALE FACTOR *
048928,000261:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048929,000262:                                                                                                  #  --------*--------------*                         -----------------------
048930,000263:                                                                                                  #  SNTH    * +1           *DP SIN OF ANGLE BETWEEN R1VEC AND R2VEC
048931,000264:                                                                                                  #  CSTH    * +1           *DP COSINE OF ANGLE
048932,000265:                                                                                                  #  1-CSTH  * +2           *DP 1-CSTH
048933,000266:                                                                                                  #  COGA    * +5           *DP COTAN OF INITIAL REQUIRED FLIGHT PATH ANGLE MEASURED FROM VERTICAL
048934,000267:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO INITIAL RADIUS
048935,000268:                                                                                                  #  R1A     * +6           *DP RATIO OF INITIAL RADIUS TO SEMIMAJOR AXIS
048936,000269:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP INITIAL RADIUS IN METERS
048937,000270:                                                                                                  #          * +27 FOR MOON *
048938,000271:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF R1VEC
048939,000272:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF R2VEC
048940,000273: 
048941,000274:                                                                                                  #       PARAMETERS OF NO USE
048942,000275:                                                                                                  #  DP PARAMETERS - EPSILONL, CSTH-RHO, TPREV, TERRLAMB, R2, RTNLAMB (SP), PLUS PUSHLIST REGISTER 0 THROUGH 41D
048943,000276:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - INFINFLG, 360SW, SLOPESW, ORDERSW
048944,000277: 

Page 1158

048946,000279:                                                                                                  #  PROGRAM DESCRIPTION - TIME-THETA SUBROUTINE                                    DATE - 1 SEPTEMBER 1967
048947,000280:                                                                                                  #  MOD NO. - 0                                                                    LOG SECTION - CONIC SUBROUTINES
048948,000281:                                                                                                  #  MOD BY KRAUSE                                                                  ASSEMBLY - COLOSSUS REVISION 88
048949,000282: 
048950,000283:                                                                                                  #  FUNCTIONAL DESCRIPTION -
048951,000284:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE
048952,000285:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
048953,000286:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
048954,000287:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
048955,000288:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
048956,000289:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
048957,000290: 
048958,000291:                                                                                                  #  THE RESTRICTIONS ARE -
048959,000292:                                                                                                  #       1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
048960,000293:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
048961,000294:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
048962,000295:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
048963,000296: 
048964,000297:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .292 SECONDS.
048965,000298: 
048966,000299:                                                                                                  #  REFERENCES -
048967,000300:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
048968,000301: 
048969,000302:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
048970,000303:                                                                                                  #          * SCALE FACTOR *
048971,000304:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
048972,000305:                                                                                                  #  --------*--------------*                         -----------------------
048973,000306:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
048974,000307:                                                                                                  #          * +27 FOR MOON *
048975,000308:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
048976,000309:                                                                                                  #          * +5 FOR MOON  *
048977,000310:                                                                                                  #  SNTH    * +1           *DP SINE OF TRUE-ANOMALY-DIFFERENCE THROUGH WHICH THE STATE IS TO BE UPDATED
048978,000311:                                                                                                  #  CSTH    * +1           *DP COSINE OF THE ANGLE
048979,000312:                                                                                                  #  RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
048980,000313:                                                                                                  #          *              *IS TO BE COMPUTED ALSO.
048981,000314:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
048982,000315:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
048983,000316: 
048984,000317:                                                                                                  #  SUBROUTINES CALLED -

Page 1159

048986,000319:                                                                                                  #       PARAM, GEOM, GETX, DELTIME, NEWSTATE
048987,000320: 
048988,000321:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
048989,000322:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
048990,000323:                                                                                                  #  L        SET    CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048991,000324:                                                                                                  #  L+1             RVSW
048992,000325:                                                                                                  #  L+2             TIMETHET        RETURN WITH PL AT 0 AND T IN MPAC
048993,000326:                                                                                                  #  L+3     ...                     CONTINUE
048994,000327: 
048995,000328:                                                                                                  #     IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
048996,000329:                                                                                                  #  L        CLEAR  CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
048997,000330:                                                                                                  #  L+1      RVSW
048998,000331:                                                                                                  #  L+2             TIMETHET        RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
048999,000332:                                                                                                  #                                  THE INITIAL VELOCITY VECTOR IN MPAC.
049000,000333:                                                                                                  #  L+3      STOVL  NEWVVEC
049001,000334:                                                                                                  #  L+4      STADR
049002,000335:                                                                                                  #  L+5      STORE  NEWRVEC                 NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049003,000336:                                                                                                  #  L+6      ...                            CONTINUE
049004,000337: 
049005,000338:                                                                                                  #  ABORT EXIT MODES -
049006,000339:                                                                                                  #           IF COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-THETA, TIME-THETA WILL TRANSFER TO POODOO WITH
049007,000340:                                                                                                  #           AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 AND 721).
049008,000341: 
049009,000342:                                                                                                  #  OUTPUT -
049010,000343:                                                                                                  #          * SCALE FACTOR *
049011,000344:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049012,000345:                                                                                                  #  --------*--------------*                         -----------------------
049013,000346:                                                                                                  #  T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
049014,000347:                                                                                                  #  INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE TRANSFER ANGLE REQUIRES CLOSURE THROUGH
049015,000348:                                                                                                  #          *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049016,000349:                                                                                                  #  COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049017,000350:                                                                                                  #          *              *CLEAR IF NOT.
049018,000351: 
049019,000352:                                                                                                  #  IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT-
049020,000353:                                                                                                  #  MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049021,000354:                                                                                                  #   MPAC +5* +5 FOR MOON  *
049022,000355:                                                                                                  #  0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049023,000356:                                                                                                  #          * +27 FOR MOON *
049024,000357: 
049025,000358:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049026,000359: 

Page 1160

049028,000361:                                                                                                  #  DEBRIS -
049029,000362:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049030,000363: 
049031,000364:                                                                                                  #          * SCALE FACTOR *
049032,000365:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049033,000366:                                                                                                  #  --------*--------------*                         -----------------------
049034,000367:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049035,000368:                                                                                                  #          * +27 FOR MOON *
049036,000369:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049037,000370:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049038,000371:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049039,000372:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
049040,000373:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
049041,000374:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
049042,000375: 
049043,000376:                                                                                                  #       PARAMETERS OF NO USE -
049044,000377:                                                                                                  #  SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049045,000378:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049046,000379: 

Page 1161

049048,000381:                                                                                                  #  PROGRAM DESCRIPTION - TIME-RADIUS SUBROUTINE                            DATE - 11 OCTOBER 1967
049049,000382:                                                                                                  #  MOD NO. -1                                                              LOG SECTION - CONIC SUBROUTINES
049050,000383:                                                                                                  #  MOD BY KRAUSE                                                           ASSEMBLY - COLOSSUS REVISION 88
049051,000384: 
049052,000385:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049053,000386: 
049054,000387:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR AND A DESIRED RADIUS TO WHICH THE
049055,000388:                                                                                                  #  STATE IS TO BE UPDATED ALONG A CONIC TRAJECTORY, CALCULATES THE CORRESPONDING TIME-OF-FLIGHT AND, IN ADDITION,
049056,000389:                                                                                                  #  PROVIDES THE OPTION OF COMPUTING THE NEW UPDATED STATE VECTOR.  THE RESULTING TRAJECTORY MAY BE A SECTION OF A
049057,000390:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049058,000391:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049059,000392:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049060,000393:                                                                                                  #       IF THE DESIRED RADIUS IS BEYOND THE RADIUS OF APOCENTER OF THE CONIC OR BELOW THE RADIUS OF PERICENTER,
049061,000394:                                                                                                  #  APSESW WILL BE SET AND THE SUBROUTINE WILL RETURN THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY.
049062,000395: 
049063,000396:                                                                                                  #  THE RESTRICTIONS ARE -
049064,000397:                                                                                                  #       1. THE ANGLE BETWEEN ANY POSITION VECTOR AND ITS VELOCITY VECTOR MUST BE GREATER THAN 1 DEGREE 47.5 MINUTES
049065,000398:                                                                                                  #  AND LESS THAN 178 DEGREES 12.5 MINUTES.
049066,000399:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049067,000400:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049068,000401:                                                                                                  #        3. AN ACCURACY DEGRADATION OCCURS AS THE SENSITIVITIES OF TIME AND UPDATED STATE VECTOR TO CHANGES IN
049069,000402:                                                                                                  #  RDESIRED INCREASE.  THIS WILL OCCUR NEAR EITHER APSIS OF THE CONIC AND WHEN THE CONIC IS NEARLY CIRCULAR.  IN
049070,000403:                                                                                                  #  PARTICULAR, IF THE CONIC IS AN EXACT CIRCLE, THE PROBLEM IS UNDEFINED AND THE SUBROUTINE WILL ABORT.
049071,000404: 
049072,000405:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .363 SECONDS
049073,000406: 
049074,000407:                                                                                                  #  REFERENCES -
049075,000408:                                                                                                  #       R-479, MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5, SGA MEMO 67-8.
049076,000409: 
049077,000410:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049078,000411:                                                                                                  #          * SCALE FACTOR *
049079,000412:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049080,000413:                                                                                                  #  --------*--------------*                         -----------------------
049081,000414:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049082,000415:                                                                                                  #          * +27 FOR MOON *
049083,000416:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049084,000417:                                                                                                  #          * +5 FOR MOON  *
049085,000418:                                                                                                  #  RDESIRED* +29 FOR EARTH*DP TERMINAL RADIAL DISTANCE ON CONIC TRAJECTORY FOR WHICH TRANSFER TIME IS TO BE
049086,000419:                                                                                                  #          * +27 FOR MOON *COMPUTED.
049087,000420:                                                                                                  #  SGNRDOT * NONE         *SP TAG SET TO +.5 OR -.5 ACCORDING TO WHETHER THE RADIAL VELOCITY AT RDESIRED IS TO BE
049088,000421:                                                                                                  #          *              *POSITIVE OR NEGATIVE, RESPECTIVELY.  THIS TAG REDUCES THE DOUBLE-VALUED PROBLEM TO A

Page 1162

049090,000423:                                                                                                  #          *              *SINGLE-VALUED PROBLEM.
049091,000424:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049092,000425:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
049093,000426:                                                                                                  #  RVSW    * NONE         *AN INTERPRETIVE SWITCH TO BE SET IF ONLY TIME IS TO BE AN OUTPUT, CLEAR IF THE NEW STATE
049094,000427:                                                                                                  #          *              *IS TO BE COMPUTED ALSO.
049095,000428: 
049096,000429:                                                                                                  #  SUBROUTINES CALLED -
049097,000430:                                                                                                  #       PARAM, GEOM, GETX, DELTIME, NEWSTATE
049098,000431: 
049099,000432:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -
049100,000433: 
049101,000434:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
049102,000435:                                                                                                  #  L       SET     CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049103,000436:                                                                                                  #  L+1             RVSW
049104,000437:                                                                                                  #  L+2             TIMERAD         RETURN WITH PL AT 0 AND T IN MPAC
049105,000438:                                                                                                  #  L+3     ...                     CONTINUE
049106,000439: 
049107,000440:                                                                                                  #     IF THE UPDATE STATE VECTOR IS DESIRED AS WELL -
049108,000441:                                                                                                  #  L        CLEAR  CALL            MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049109,000442:                                                                                                  #  L+1             RVSW
049110,000443:                                                                                                  #  L+2             TIMERAD         RETURNS WITH PL AT 6.  THE INITIAL POSITION VECTOR IS IN 0D OF THE PUSHLIST AND
049111,000444:                                                                                                  #                                  THE INITIAL VELOCITY VECTOR IN MPAC.
049112,000445:                                                                                                  #  L+3     STOVL   NEWVVEC
049113,000446:                                                                                                  #  L+4     STADR
049114,000447:                                                                                                  #  L+5     STORE   NEWRVEC         NEWVVEC AND NEWRVEC ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS.
049115,000448:                                                                                                  #  L+6     ...                     CONTINUE
049116,000449: 
049117,000450:                                                                                                  #  ABORT EXIT MODES -
049118,000451:                                                                                                  #           IF SOLNSW AND/OR COGAFLAG AND/OR INFINFLG IS SET AT THE EXIT TO TIME-RADIUS, TIME-RADIUS WILL TRANSFER
049119,000452:                                                                                                  #           TO POODOO WITH AN ALARM CODE (ORIGINALLY 00607), AND NOT RETURN TO THE CALLING PROGRAM. (PCR 692 & 721)
049120,000453: 
049121,000454:                                                                                                  #  OUTPUT -
049122,000455:                                                                                                  #          * SCALE FACTOR *
049123,000456:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049124,000457:                                                                                                  #  --------*--------------*                         -----------------------
049125,000458:                                                                                                  #  T (30D) * +28          *DP TRANSFER TIME IN CENTISECONDS
049126,000459:                                                                                                  #  INFINFLG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED AND SGNRDOT REQUIRE CLOSURE THROUGH
049127,000460:                                                                                                  #          *              *INFINITY (NO SOLUTION), CLEAR IF A PHYSICAL SOLUTION IS POSSIBLE.
049128,000461:                                                                                                  #  COGAFLAG* NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RESTRICTION 1 HAS BEEN VIOLATED (NO SOLUTION),
049129,000462:                                                                                                  #          *              *CLEAR IF NOT.
049130,000463:                                                                                                  #  APSESW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF RDESIRED WAS GREATER THAN RADIUS OF APOCENTER OR

Page 1163

049132,000465:                                                                                                  #          *              *LESS THAN RADIUS OF PERICENTER.  THE APOCENTER OR PERICENTER SOLUTION, RESPECTIVELY,
049133,000466:                                                                                                  #          *              *WILL THEN BE RETURNED.  THE SWITCH IS CLEAR IF RDESIRED WAS BETWEEN PERICENTER AND
049134,000467:                                                                                                  #          *              *APOCENTER.
049135,000468:                                                                                                  #  SOLNSW  * NONE         *AN INTERPRETIVE SWITCH WHICH IS SET IF THE CONIC IS SO CLOSE TO A CIRCLE THAT THE TERMIN
049136,000469:                                                                                                  #                         *POINT IS AMBIGUOUS, VIOLATING RESTRICTION 3.  IF ECCENTRICITY IS GREATER THAN 2-TO-THE-
049137,000470:                                                                                                  #                         *MINUS-18, THE SWITCH IS CLEAR.
049138,000471: 
049139,000472:                                                                                                  #  IN ADDITION, IF RVSW IS CLEAR, THE FOLLOWING ARE OUTPUT -
049140,000473: 
049141,000474:                                                                                                  #  MPAC -  * +7 FOR EARTH *DP TERMINAL VELOCITY VECTOR IN METERS/CENTISEC.
049142,000475:                                                                                                  #   MPAC +5* +5 FOR MOON  *
049143,000476:                                                                                                  #  0D - 5D * +29 FOR EARTH*DP TERMINAL POSITION VECTOR IN METERS (PL AT 6D)
049144,000477:                                                                                                  #          * +27 FOR MOON *
049145,000478: 
049146,000479:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049147,000480: 
049148,000481:                                                                                                  #  DEBRIS -
049149,000482:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049150,000483: 
049151,000484:                                                                                                  #          * SCALE FACTOR *
049152,000485:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049153,000486:                                                                                                  #  --------*--------------*                         -----------------------
049154,000487:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049155,000488:                                                                                                  #          * +27 FOR MOON *
049156,000489:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049157,000490:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049158,000491:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049159,000492:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
049160,000493:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
049161,000494:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
049162,000495:                                                                                                  #  CSTH    * +1           *DP COSINE OF TRUE ANOMALY DIFFERENCE BETWEEN RVEC AND RDESIRED.
049163,000496:                                                                                                  #  SNTH    * +1           *DP SINE OF TRUE ANOMALY DIFFERENCE.
049164,000497: 
049165,000498:                                                                                                  #       PARAMETERS OF NO USE -
049166,000499:                                                                                                  #  SP PARAMETERS - RTNTT, GEOMSGN, RTNPRM, MAGVEC2=R2 (DP), PLUS PUSHLIST LOCATIONS 0-11D, 14D-21D, 24D-39D, 41D
049167,000500:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW, 360SW
049168,000501: 
049169,000502: 

Page 1164

049171,000504:                                                                                                  #  PROGRAM DESCRIPTION - APSIDES SUBROUTINE                                        DATE - 1 SEPTEMBER 1967
049172,000505:                                                                                                  #  MOD NO. - 0                                                                     LOG SECTION - CONIC SUBROUTINES
049173,000506:                                                                                                  #  MOD BY KRAUSE                                                                   ASSEMBLY - COLOSSUS REVISION 88
049174,000507: 
049175,000508:                                                                                                  #  FUNCTIONAL DESCRIPTION -
049176,000509: 
049177,000510:                                                                                                  #       THIS SUBROUTINE, GIVEN AN INITIAL STATE VECTOR CALCULATES THE RADIUS OF PERICENTER AND OF APOCENTER AND THE
049178,000511:                                                                                                  #  ECCENTRICITY OF THE RESULTING CONIC TRAJECTORY, WHICH MAY BE A STRAIGHT LINE,
049179,000512:                                                                                                  #  CIRCLE, ELLIPSE, PARABOLA, OR HYPERBOLA WITH RESPECT TO THE EARTH OR THE MOON.  THE USE OF THE SUBROUTINE CAN BE
049180,000513:                                                                                                  #  EXTENDED USING OTHER PRIMARY BODIES BY SIMPLE ADDITIONS TO THE MUTABLE WITHOUT INTRODUCING ANY CODING CHANGES,
049181,000514:                                                                                                  #  ACCEPTING THE INHERENT SCALE FACTOR CHANGES IN POSITION AND VELOCITY.
049182,000515: 
049183,000516:                                                                                                  #  THE RESTRICTIONS ARE -
049184,000517:                                                                                                  #       1. IF APOCENTER IS BEYOND THE SCALING OF POSITION, THE SCALE FACTOR LIMIT (536,870,910 METERS WITH RESPECT
049185,000518:                                                                                                  #  TO THE EARTH OR 134,217,727.5 METERS WITH RESPECT TO THE MOON) WILL BE RETURNED.
049186,000519:                                                                                                  #       2. THE PARAMETERS IN THE PROBLEM MUST NOT EXCEED THEIR SCALING LIMITS SPECIFIED IN THE GSOP.  IF THE LIMITS
049187,000520:                                                                                                  #  ARE EXCEEDED, THE RESULTING SOLUTION WILL BE MEANINGLESS.
049188,000521: 
049189,000522:                                                                                                  #       THE AGC COMPUTATION TIME IS APPROXIMATELY .103 SECONDS.
049190,000523: 
049191,000524:                                                                                                  #  REFERENCES -
049192,000525:                                                                                                  #       MISSION PROGRAMMING DEFINITION MEMO NO. 10, LUNAR LANDING MISSION GSOP-SECTION 5.5
049193,000526: 
049194,000527:                                                                                                  #  INPUT - ERASABLE INITIALIZATION REQUIRED
049195,000528:                                                                                                  #          * SCALE FACTOR *
049196,000529:                                                                                                  #  VARIABLE*IN POWERS OF 2*                          DESCRIPTION AND REMARKS
049197,000530:                                                                                                  #  --------*--------------*                          -----------------------
049198,000531:                                                                                                  #  RVEC    * +29 FOR EARTH*DP INITIAL POSITION VECTOR IN METERS
049199,000532:                                                                                                  #          * +27 FOR MOON *
049200,000533:                                                                                                  #  VVEC    * +7 FOR EARTH *DP INITIAL VELOCITY VECTOR IN METERS/CENTISECOND
049201,000534:                                                                                                  #          * +5 FOR MOON  *
049202,000535:                                                                                                  #  X1 (38D)* NONE         *INDEX REGISTER TO BE SET TO -2D OR -10D ACCORDING TO WHETHER THE EARTH OR MOON,
049203,000536:                                                                                                  #          *              *RESPECTIVELY, IS THE CENTRAL BODY.
049204,000537: 
049205,000538:                                                                                                  #  SUBROUTINES CALLED -
049206,000539:                                                                                                  #       PARAM, GEOM
049207,000540: 
049208,000541:                                                                                                  #  CALLING SEQUENCE AND NORMAL EXIT MODES -

Page 1165

049210,000543:                                                                                                  #     IF ONLY TIME IS DESIRED AS OUTPUT -
049211,000544:                                                                                                  #  L        CALL                   MUST BE IN INTERPRETIVE MODE BUT OVFIND ARBITRARY.
049212,000545:                                                                                                  #  L+1             APSIDES         RETURNS WITH PL AT 0, RADIUS OF APOCENTER IN MPAC AND RADIUS OF PERICENTER IN 0D
049213,000546:                                                                                                  #  L+2      STODL  APOAPSE
049214,000547:                                                                                                  #  L+3             0D
049215,000548:                                                                                                  #  L+4      STORE  PERIAPSE        APOAPSE AND PERIAPSE ARE SYMBOLIC REPRESENTATIONS OF THE USERS LOCATIONS
049216,000549:                                                                                                  #  L+5      ...                    CONTINUE
049217,000550: 
049218,000551:                                                                                                  #  OUTPUT -
049219,000552:                                                                                                  #          * SCALE FACTOR *
049220,000553:                                                                                                  #  VARIABLE*IN POWERS OF 2*                      DESCRIPTION AND REMARKS
049221,000554:                                                                                                  #  --------*--------------*                      -----------------------
049222,000555:                                                                                                  #  MPAC    * +29 FOR EARTH*DP RADIUS OF APOCENTER IN METERS
049223,000556:                                                                                                  #          * +27 FOR MOON *
049224,000557:                                                                                                  #  0D-1D   * +29 FOR EARTH*DP RADIUS OF PERICENTER IN METERS
049225,000558:                                                                                                  #          * +27 FOR MOON *
049226,000559:                                                                                                  #  ECC     * +3           *DP ECCENTRICITY OF CONIC TRAJECTORY.
049227,000560: 
049228,000561:                                                                                                  #  FOR OTHER OUTPUT WHICH MAY BE OF USE, SEE DEBRIS.
049229,000562: 
049230,000563:                                                                                                  #  DEBRIS -
049231,000564: 
049232,000565:                                                                                                  #       PARAMETERS WHICH MAY BE OF USE -
049233,000566: 
049234,000567:                                                                                                  #          * SCALE FACTOR *
049235,000568:                                                                                                  #  VARIABLE*IN POWERS OF 2*                         DESCRIPTION AND REMARKS
049236,000569:                                                                                                  #  --------*--------------*                         -----------------------
049237,000570:                                                                                                  #  R1 (32D)* +29 FOR EARTH*DP MAGNITUDE OF INITIAL POSITION VECTOR, RVEC, IN METERS
049238,000571:                                                                                                  #          * +27 FOR MOON *
049239,000572:                                                                                                  #  R1A     * +6           *DP RATIO OF R1 TO SEMIMAJOR AXIS (NEG. FOR HYPERBOLIC TRAJECTORIES)
049240,000573:                                                                                                  #  P       * +4           *DP RATIO OF SEMILATUS RECTUM TO R1
049241,000574:                                                                                                  #  COGA    * +5           *DP COTAN OF ANGLE BETWEEN RVEC AND VVEC
049242,000575:                                                                                                  #  UR1     * +1           *DP UNIT VECTOR OF RVEC
049243,000576:                                                                                                  #  U2      * +1           *DP UNIT VECTOR OF VVEC
049244,000577:                                                                                                  #  UN      * +1           *DP UNIT VECTOR OF UR1*U2
049245,000578:                                                                                                  #  MAGVEC2 * +7 FOR EARTH *DP MAGNITUDE OF VVEC
049246,000579:                                                                                                  #          * +5 FOR MOON  *
049247,000580: 
049248,000581:                                                                                                  #       PARAMETERS OF NO USE -
049249,000582:                                                                                                  #  SP PARAMETERS - RTNAPSE, GEOMSGN, RTNPRM, PLUS PUSHLIST LOCATIONS 0-5, 10D-11D, 14D-21D, 31D-38D.
049250,000583:                                                                                                  #  ADDITIONAL INTERPRETIVE SWITCHES USED - NORMSW
049251,000584: 
049252,000585: 12,2000                                           SETLOC   CONICS                                

Page 1166

049254,000587: 12,2000                                           BANK                                           
049255,000588: 
049256,000589: 12,2023                                           COUNT*   $$/CONIC                              
049257,000590: 12,2023  E5,1721                                  EBANK=   UR1                                   
049258,000591: 12,2023           40001        KEPLERN            SETPD    BOV                                   
049259,000592: 12,2024           00001                                    0                                     
049260,000593: 12,2025           24026                                    +1                                    
049261,000594: 12,2026           77773                           VLOAD*                                         
049262,000595: 12,2027           10005                                    MUTABLE,1                             
049263,000596: 12,2030           24017                           STOVL    14D                                   
049264,000597: 12,2031           01503                                    RRECT                                 
049265,000598: 12,2032           66256                           UNIT     SSP                                   
049266,000599: 12,2033           00027                                    ITERCTR                               
049267,000600: 12,2034           00024                                    20D                                   
049268,000601: 12,2035           16647                           STODL    URRECT                                
049269,000602: 12,2036           00045                                    36D                                   
049270,000603: 12,2037           24041                           STOVL    R1                                    
049271,000604: 12,2040           01503                                    RRECT                                 
049272,000605: 12,2041           76441                           DOT      SL1R                                  
049273,000606: 12,2042           01511                                    VRECT                                 
049274,000607: 12,2043           76405                           DMP      SL1R                                  
049275,000608: 12,2044           00023                                    1/ROOTMU                              #  1/ROOTMU (-17 OR -14)
049276,000609: 12,2045           24043                           STOVL    KEPC1                                 #  C1=R.V/ROOTMU (+17 OR +16)
049277,000610: 
049278,000611: 12,2046           01511                                    VRECT                                 
049279,000612: 12,2047           57236                           VSQ      DMPR                                  
049280,000613: 12,2050           00017                                    1/MU                                  #  1/MU (-34 OR -28)
049281,000614: 12,2051           52405                           DMP      SL3                                   
049282,000615: 12,2052           00041                                    R1                                    
049283,000616: 12,2053           61425                           DSU      ROUND                                 
049284,000617: 12,2054           11017                                    D1/64                                 
049285,000618: 12,2055           00045                           STORE    KEPC2                                 #  C2=RV.V/MU -1 (+6)
049286,000619: 
049287,000620: 12,2056           74421                           BDSU     SR1R                                  
049288,000621: 12,2057           11017                                    D1/64                                 
049289,000622: 12,2060           77671                           DDV                                            
049290,000623: 12,2061           00041                                    R1                                    
049291,000624: 12,2062           00011                           STORE    ALPHA                                 #  ALPHA=(1-C2)/R1 (-22 OR -20)
049292,000625: 
049293,000626: 12,2063           71244                           BPL      DLOAD                                 #  MAXIMUM X DEPENDS ON TYPE OF CONIC
049294,000627: 12,2064           24073                                    1REV                                  
049295,000628: 12,2065           11035                                    -50SC                                 #  -50SC (+12)
049296,000629: 12,2066           40071                           DDV      BOV                                   
049297,000630: 12,2067           00011                                    ALPHA                                 
049298,000631: 12,2070           24077                                    STOREMAX                              
049299,000632: 12,2071           52166                           SQRT     GOTO                                  
049300,000633: 12,2072           24077                                    STOREMAX                              
049301,000634: 
049302,000635: 12,2073           55366        1REV               SQRT     BDDV                                  

Page 1167

049304,000637: 12,2074           11037                                    2PISC                                 #  2PISC (+6)
049305,000638: 12,2075           77600                           BOV                                            
049306,000639: 12,2076           24077                                    STOREMAX                              
049307,000640: 12,2077           00013        STOREMAX           STORE    XMAX                                  
049308,000641: 12,2100           65205                           DMP      PDDL                                  
049309,000642: 12,2101           00023                                    1/ROOTMU                              
049310,000643: 12,2102           00011                                    ALPHA                                 
049311,000644: 12,2103           65301                           NORM     PDDL                                  
049312,000645: 12,2104           00047                                    X1                                    
049313,000646: 12,2105           56257                           SL*      DDV                                   
049314,000647: 12,2106           20173                                    0          -6,1                       
049315,000648: 12,2107           50000                           BOV      BMN                                   
049316,000649: 12,2110           24124                                    MODDONE                               
049317,000650: 12,2111           24124                                    MODDONE                               #  MPAC=PERIOD
049318,000651: 12,2112           51525        PERIODCH           PDDL     ABS                                   #  0D=PERIOD
049319,000652: 12,2113           02074                                    TAU.                                  
049320,000653: 12,2114           50025                           DSU      BMN                                   
049321,000654: 12,2115           00001                                    0D                                    
049322,000655: 12,2116           24124                                    MODDONE                               
049323,000656: 12,2117           77765                           SIGN                                           
049324,000657: 12,2120           02074                                    TAU.                                  
049325,000658: 12,2121           16074                           STODL    TAU.                                  
049326,000659: 12,2122           77650                           GOTO                                           
049327,000660: 12,2123           24112                                    PERIODCH                              
049328,000661: 12,2124           71201        MODDONE            SETPD    DLOAD                                 
049329,000662: 12,2125           00001                                    0                                     
049330,000663: 12,2126           02130                                    XKEPNEW                               
049331,000664: 12,2127           00025                           STORE    X                                     
049332,000665: 12,2130           53165                           SIGN     BZE                                   
049333,000666: 12,2131           02074                                    TAU.                                  
049334,000667: 12,2132           24302                                    BADX                                  
049335,000668: 12,2133           51440                           BMN      ABS                                   
049336,000669: 12,2134           24302                                    BADX                                  
049337,000670: 12,2135           51025                           DSU      BPL                                   
049338,000671: 12,2136           00013                                    XMAX                                  
049339,000672: 12,2137           24302                                    BADX                                  
049340,000673: 12,2140           51145        STORBNDS           DLOAD    BPL                                   
049341,000674: 12,2141           02074                                    TAU.                                  
049342,000675: 12,2142           24152                                    STOREMIN                              
049343,000676: 12,2143           57545                           DLOAD    DCOMP                                 
049344,000677: 12,2144           00013                                    XMAX                                  
049345,000678: 12,2145           14015                           STODL    XMIN                                  
049346,000679: 12,2146           24007                                    KEPZERO                               
049347,000680: 12,2147           00013                           STORE    XMAX                                  
049348,000681: 12,2150           77650                           GOTO                                           
049349,000682: 12,2151           24155                                    DXCOMP                                
049350,000683: 12,2152           77745        STOREMIN           DLOAD                                          
049351,000684: 12,2153           24007                                    KEPZERO                               
049352,000685: 12,2154           00015                           STORE    XMIN                                  
049353,000686: 12,2155           57345        DXCOMP             DLOAD    DMPR                                  

Page 1168

049355,000688: 12,2156           02074                                    TAU.                                  
049356,000689: 12,2157           11030                                    BEE22                                 
049357,000690: 12,2160           77646                           ABS                                            
049358,000691: 12,2161           16177                           STODL    EPSILONT                              
049359,000692: 12,2162           01553                                    XPREV                                 
049360,000693: 12,2163           77621        XDIFF              BDSU                                           
049361,000694: 12,2164           00025                                    X                                     
049362,000695: 12,2165           02643                           STORE    DELX                                  
049363,000696: 
049364,000697: 12,2166           63545        KEPLOOP            DLOAD    DSQ                                   
049365,000698: 12,2167           00025                                    X                                     #  X=XKEP
049366,000699: 12,2170           41501                           NORM     PUSH                                  #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049367,000700: 12,2171           00047                                    X1                                    
049368,000701: 12,2172           53605                           DMP      SRR*                                  
049369,000702: 12,2173           00011                                    ALPHA                                 
049370,000703: 12,2174           21573                                    0          -6,1                       
049371,000704: 12,2175           34031                           STCALL   XI                                    #  XI=ALPHA XSQ (+6)
049372,000705: 12,2176           24421                                    DELTIME                               
049373,000706: 12,2177           44200                           BOV      BDSU                                  
049374,000707: 12,2200           24311                                    TIMEOVFL                              #  UNLIKELY
049375,000708: 12,2201           02074                                    TAU.                                  
049376,000709: 12,2202           02645                           STORE    DELT                                  #  DELT=DELINDEP
049377,000710: 12,2203           44246                           ABS      BDSU                                  
049378,000711: 12,2204           02177                                    EPSILONT                              
049379,000712: 12,2205           71244                           BPL      DLOAD                                 
049380,000713: 12,2206           24333                                    KEPCONVG                              
049381,000714: 12,2207           00037                                    T                                     
049382,000715: 12,2210           60225                           DSU      NORM                                  
049383,000716: 12,2211           01551                                    TC                                    
049384,000717: 12,2212           00047                                    X1                                    
049385,000718: 12,2213           60325                           PDDL     NORM                                  
049386,000719: 12,2214           02643                                    DELX                                  
049387,000720: 12,2215           00050                                    X2                                    
049388,000721: 12,2216           41260                           XSU,1    DMP                                   
049389,000722: 12,2217           00047                                    X2                                    
049390,000723: 12,2220           02645                                    DELT                                  
049391,000724: 12,2221           56257                           SLR*     DDV                                   
049392,000725: 12,2222           21202                                    1,1                                   
049393,000726: 12,2223           41542                           SR1      PUSH                                  #  0D=TRIAL DELX         PL AT 2
049394,000727: 12,2224           71244                           BPL      DLOAD                                 
049395,000728: 12,2225           24246                                    POSDELX                               
049396,000729: 12,2226           00025                                    X                                     
049397,000730: 12,2227           00013                           STORE    XMAX                                  #  MOVE MAX BOUND IN
049398,000731: 12,2230           45221                           BDSU     DSU                                   #                        PL AT 0
049399,000732: 12,2231           00015                                    XMIN                                  
049400,000733: 12,2232           51000                           BOV      BPL                                   
049401,000734: 12,2233           24240                                    NDXCHNGE                              
049402,000735: 12,2234           24240                                    NDXCHNGE                              
049403,000736: 12,2235           52145                           DLOAD    GOTO                                  

Page 1169

049405,000738: 12,2236           00001                                    0D                                    
049406,000739: 12,2237           24260                                    NEWDELX                               
049407,000740: 
049408,000741: 12,2240           45345        NDXCHNGE           DLOAD    DSU                                   
049409,000742: 12,2241           00015                                    XMIN                                  
049410,000743: 12,2242           00025                                    X                                     
049411,000744: 12,2243           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049412,000745: 12,2244           11033                                    DP9/10                                
049413,000746: 12,2245           24260                                    NEWDELX                               
049414,000747: 
049415,000748: 12,2246           77745        POSDELX            DLOAD                                          
049416,000749: 12,2247           00025                                    X                                     
049417,000750: 12,2250           00015                           STORE    XMIN                                  #  MOVE MIN BOUND IN
049418,000751: 12,2251           45221                           BDSU     DSU                                   #                        PL AT 0
049419,000752: 12,2252           00013                                    XMAX                                  
049420,000753: 12,2253           50000                           BOV      BMN                                   
049421,000754: 12,2254           24274                                    PDXCHNGE                              
049422,000755: 12,2255           24274                                    PDXCHNGE                              
049423,000756: 12,2256           77745                           DLOAD                                          
049424,000757: 12,2257           00001                                    0D                                    
049425,000758: 12,2260           02643        NEWDELX            STORE    DELX                                  
049426,000759: 12,2261           43254                           BZE      DAD                                   
049427,000760: 12,2262           24333                                    KEPCONVG                              
049428,000761: 12,2263           00025                                    X                                     
049429,000762: 12,2264           14025                           STODL    X                                     
049430,000763: 12,2265           00037                                    T                                     
049431,000764: 12,2266           01551                           STORE    TC                                    
049432,000765: 12,2267           46034        BRNCHCTR           RTB      BHIZ                                  
049433,000766: 12,2270           24644                                    CHECKCTR                              
049434,000767: 12,2271           24333                                    KEPCONVG                              
049435,000768: 12,2272           77650                           GOTO                                           
049436,000769: 12,2273           24166                                    KEPLOOP                               #  ITERATE
049437,000770: 
049438,000771: 12,2274           45345        PDXCHNGE           DLOAD    DSU                                   
049439,000772: 12,2275           00013                                    XMAX                                  
049440,000773: 12,2276           00025                                    X                                     
049441,000774: 12,2277           52075                           DMPR     GOTO                                  #  TO FORCE MPAC +2 TO ZERO
049442,000775: 12,2300           11033                                    DP9/10                                
049443,000776: 12,2301           24260                                    NEWDELX                               
049444,000777: 
049445,000778: 12,2302           70545        BADX               DLOAD    SR1                                   
049446,000779: 12,2303           00013                                    XMAX                                  
049447,000780: 12,2304           77765                           SIGN                                           
049448,000781: 12,2305           02074                                    TAU.                                  
049449,000782: 12,2306           00025                           STORE    X                                     
049450,000783: 12,2307           77650                           GOTO                                           

Page 1170

049452,000785: 12,2310           24140                                    STORBNDS                              
049453,000786: 12,2311           50145        TIMEOVFL           DLOAD    BMN                                   #  X WAS TOO BIG
049454,000787: 12,2312           00025                                    X                                     
049455,000788: 12,2313           24330                                    NEGTOVFL                              
049456,000789: 12,2314           00013                           STORE    XMAX                                  
049457,000790: 12,2315           70545        CMNTOVFL           DLOAD    SR1                                   
049458,000791: 12,2316           02643                                    DELX                                  
049459,000792: 12,2317           02643                           STORE    DELX                                  
049460,000793: 12,2320           44254                           BZE      BDSU                                  
049461,000794: 12,2321           02112                                    KEPRTN                                
049462,000795: 12,2322           00025                                    X                                     
049463,000796: 12,2323           14025                           STODL    X                                     
049464,000797: 12,2324           01551                                    TC                                    
049465,000798: 12,2325           00037                           STORE    T                                     
049466,000799: 12,2326           77650                           GOTO                                           
049467,000800: 12,2327           24267                                    BRNCHCTR                              
049468,000801: 12,2330           00015        NEGTOVFL           STORE    XMIN                                  
049469,000802: 12,2331           77650                           GOTO                                           
049470,000803: 12,2332           24315                                    CMNTOVFL                              
049471,000804: 12,2333           44545        KEPCONVG           DLOAD    SR4R                                  
049472,000805: 12,2334           00041                                    R1                                    
049473,000806: 12,2335           74225                           DSU      VXSC                                  
049474,000807: 12,2336           00035                                    XSQC(XI)                              
049475,000808: 12,2337           02647                                    URRECT                                
049476,000809: 12,2340           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))URRECT (+33 OR +31)
049477,000810: 12,2341           00025                                    X                                     
049478,000811: 12,2342           60316                           DSQ      NORM                                  
049479,000812: 12,2343           00047                                    X1                                    
049480,000813: 12,2344           57275                           DMPR     DMPR                                  
049481,000814: 12,2345           00023                                    1/ROOTMU                              
049482,000815: 12,2346           00025                                    X                                     
049483,000816: 12,2347           53605                           DMP      SRR*                                  
049484,000817: 12,2350           00033                                    S(XI)                                 
049485,000818: 12,2351           21572                                    0          -7,1                       
049486,000819: 12,2352           77621                           BDSU                                           
049487,000820: 12,2353           00037                                    T                                     
049488,000821: 12,2354           74352                           SL1      VXSC                                  
049489,000822: 12,2355           01511                                    VRECT                                 
049490,000823: 12,2356           53372                           VSL1     VAD                                   #                                PL AT 0
049491,000824: 12,2357           77712                           VSL4                                           
049492,000825: 12,2360           01535                           STORE    RCV                                   #  RCV (+29 OR +27)
049493,000826: 
049494,000827: 12,2361           60246                           ABVAL    NORM                                  
049495,000828: 12,2362           00050                                    X2                                    
049496,000829: 12,2363           14043                           STODL    RCNORM                                
049497,000830: 12,2364           00031                                    XI                                    
049498,000831: 12,2365           45275                           DMPR     DSU                                   
049499,000832: 12,2366           00033                                    S(XI)                                 
049500,000833: 12,2367           11015                                    D1/128                                

Page 1171

049502,000835: 12,2370           76405                           DMP      SL1R                                  
049503,000836: 12,2371           00021                                    ROOTMU                                
049504,000837: 12,2372           53605                           DMP      SLR*                                  
049505,000838: 12,2373           00025                                    X                                     
049506,000839: 12,2374           56601                                    0          -3,2                       
049507,000840: 12,2375           74271                           DDV      VXSC                                  
049508,000841: 12,2376           00043                                    RCNORM                                
049509,000842: 12,2377           02647                                    URRECT                                
049510,000843: 12,2400           65372                           VSL1     PDDL                                  #  0D=URRECT(XI S(XI)-1)X ROOTMU/RCV (+15
049511,000844: 12,2401           00035                                    XSQC(XI)                              #  OR +13)                       PL AT 6
049512,000845: 12,2402           56257                           SLR*     DDV                                   
049513,000846: 12,2403           56602                                    0          -4,2                       
049514,000847: 12,2404           00043                                    RCNORM                                
049515,000848: 12,2405           74221                           BDSU     VXSC                                  
049516,000849: 12,2406           11031                                    D1/256                                
049517,000850: 12,2407           01511                                    VRECT                                 
049518,000851: 12,2410           42455                           VAD      VSL8                                  
049519,000852: 12,2411           77626                           STADR                                          #                                PL AT 0
049520,000853: 12,2412           62234                           STODL    VCV                                   #  VCV (+7 OR +5)
049521,000854: 12,2413           00037                                    T                                     
049522,000855: 12,2414           15551                           STODL    TC                                    
049523,000856: 12,2415           00025                                    X                                     
049524,000857: 12,2416           01553                           STORE    XPREV                                 
049525,000858: 12,2417           77650                           GOTO                                           
049526,000859: 12,2420           02112                                    KEPRTN                                
049527,000860: 

Page 1172

049529,000862: 12,2421           77776        DELTIME            EXIT                                           #  MPAC=XI (+6), 0D=XSQ (+34 OR +32 -N1)
049530,000863: 12,2422           07225                           TC       POLY                                  
049531,000864: 12,2423           00010                           DEC      8          B-14                       
049532,000865: 12,2424           02525 12526                     2DEC     .083333334                            
049533,000866: 12,2426           67356 75666                     2DEC     -.266666684                            
049534,000867: 12,2430           15001 23771                     2DEC     .406349155                            
049535,000868: 12,2432           64342 43674                     2DEC     -.361198675                            
049536,000869: 12,2434           06563 04645                     2DEC     .210153242                            
049537,000870: 12,2436           75173 52672                     2DEC     -.086221951                            
049538,000871: 12,2440           00656 14331                     2DEC     .026268812                            
049539,000872: 12,2442           77633 40512                     2DEC     -.006163316                            
049540,000873: 12,2444           00023 11210                     2DEC     .001177342                            
049541,000874: 12,2446           77774 67506                     2DEC     -.000199055                            
049542,000875: 
049543,000876: 12,2450           06042                           TC       INTPRET                               
049544,000877: 12,2451           14033                           STODL    S(XI)                                 
049545,000878: 12,2452           00031                                    XI                                    
049546,000879: 12,2453           77776                           EXIT                                           
049547,000880: 12,2454           07225                           TC       POLY                                  
049548,000881: 12,2455           00010                           DEC      8          B-14                       
049549,000882: 12,2456           01000 00000                     2DEC     .031250001                            
049550,000883: 12,2460           72525 52506                     2DEC     -.166666719                            
049551,000884: 12,2462           13301 15337                     2DEC     .355555413                            
049552,000885: 12,2464           62776 54733                     2DEC     -.406347410                            
049553,000886: 12,2466           11176 13267                     2DEC     .288962094                            
049554,000887: 12,2470           73410 51674                     2DEC     -.140117894                            
049555,000888: 12,2472           01446 33641                     2DEC     .049247387                            
049556,000889: 12,2474           77451 65233                     2DEC     -.013081923                            
049557,000890: 12,2476           00055 37266                     2DEC     .002806389                            
049558,000891: 12,2500           77767 52336                     2DEC     -.000529414                            
049559,000892: 12,2502           06042                           TC       INTPRET                               

Page 1173

049561,000894: 12,2503           53605                           DMP      SRR*                                  #                                PL AT 0
049562,000895: 12,2504           00001                                    0D                                    
049563,000896: 12,2505           21574                                    0          -5,1                       
049564,000897: 12,2506           00035                           STORE    XSQC(XI)                              #  XSQC(XI) (+33 OR +31)
049565,000898: 12,2507           72405                           DMP      SL1                                   
049566,000899: 12,2510           00043                                    KEPC1                                 
049567,000900: 12,2511           65234                           RTB      PDDL                                  #  XCH WITH PL. 0D=C1 XSQ C(XI) (+49 OR +46
049568,000901: 12,2512           21634                                    TPMODE                                #                                PL AT 0,3
049569,000902: 12,2513           53605                           DMP      SRR*                                  
049570,000903: 12,2514           00033                                    S(XI)                                 
049571,000904: 12,2515           21574                                    0          -5,1                       
049572,000905: 12,2516           72405                           DMP      SL1                                   
049573,000906: 12,2517           00045                                    KEPC2                                 
049574,000907: 12,2520           65234                           RTB      PDDL                                  #  3D=C2 XSQ S(XI) (+35 OR +33)  PL AT 6
049575,000908: 12,2521           21634                                    TPMODE                                
049576,000909: 12,2522           00041                                    R1                                    
049577,000910: 12,2523           76261                           SR       TAD                                   #                                PL AT 3
049578,000911: 12,2524           20607                                    6                                     
049579,000912: 12,2525           41301                           NORM     DMP                                   #  TO PRESERVE SIGNIF.
049580,000913: 12,2526           00047                                    X1                                    
049581,000914: 12,2527           00025                                    X                                     
049582,000915: 12,2530           76257                           SR*      TAD                                   #  X(C2 XSQ S(XI) +R1) (+49 OR +46)  PL AT 0
049583,000916: 12,2531           20576                                    0          -3,1                       
049584,000917: 12,2532           57232                           SL4R     DMPR                                  
049585,000918: 12,2533           00023                                    1/ROOTMU                              
049586,000919: 12,2534           00037                           STORE    T                                     
049587,000920: 12,2535           77616                           RVQ                                            
049588,000921: 

Page 1174

049590,000923: 12,2536           71214        ITERATOR           BONCLR   DLOAD                                 
049591,000924: 12,2537           00614                                    SLOPESW                               
049592,000925: 12,2540           24606                                    FIRSTIME                              
049593,000926: 12,2541           00037                                    DEP                                   
049594,000927: 12,2542           60225                           DSU      NORM                                  
049595,000928: 12,2543           02762                                    DEPREV                                
049596,000929: 12,2544           00047                                    X1                                    
049597,000930: 12,2545           60325                           PDDL     NORM                                  
049598,000931: 12,2546           00015                                    DELINDEP                              
049599,000932: 12,2547           00050                                    X2                                    
049600,000933: 12,2550           41260                           XSU,1    DMP                                   
049601,000934: 12,2551           00047                                    X2                                    
049602,000935: 12,2552           02760                                    DELDEP                                
049603,000936: 12,2553           56257                           SLR*     DDV                                   #                                PL UP 2
049604,000937: 12,2554           21202                                    1,1                                   
049605,000938: 12,2555           43142                           SR1      BOFF                                  
049606,000939: 12,2556           04351                                    ORDERSW                               
049607,000940: 12,2557           24562                                    SGNCHECK                              
049608,000941: 12,2560           75246                           ABS      SIGN                                  #  IN CASE 2ND DERIV. CHANGED SIGN, MUST
049609,000942: 12,2561           02760                                    DELDEP                                #  DISREGARD IT TO FIND MIN.
049610,000943: 
049611,000944: 12,2562           51006        SGNCHECK           PUSH     BPL                                   #  TRIAL DELINDEP                PL DOWN 2
049612,000945: 12,2563           24620                                    POSDEL                                
049613,000946: 12,2564           43145                           DLOAD    BON                                   
049614,000947: 12,2565           02766                                    INDEP                                 
049615,000948: 12,2566           04311                                    ORDERSW                               
049616,000949: 12,2567           24571                                    MINCHECK                              
049617,000950: 12,2570           00017                           STORE    MAX                                   #  IF NOT 2ND ORDER, CAN MOVE MAX BOUND IN.
049618,000951: 
049619,000952: 12,2571           45221        MINCHECK           BDSU     DSU                                   
049620,000953: 12,2572           00011                                    MIN                                   
049621,000954: 12,2573           51000                           BOV      BPL                                   
049622,000955: 12,2574           24600                                    MODNGDEL                              
049623,000956: 12,2575           24600                                    MODNGDEL                              
049624,000957: 12,2576           77650                           GOTO                                           
049625,000958: 12,2577           24632                                    DELOK                                 
049626,000959: 
049627,000960: 12,2600           45345        MODNGDEL           DLOAD    DSU                                   #  TRIAL DELINDEP WOULD EXCEED MIN BOUND
049628,000961: 12,2601           00011                                    MIN                                   
049629,000962: 12,2602           02766                                    INDEP                                 
049630,000963: 12,2603           52005                           DMP      GOTO                                  
049631,000964: 12,2604           11033                                    DP9/10                                
049632,000965: 12,2605           24634                                    NEWDEL                                
049633,000966: 
049634,000967: 12,2606           41345        FIRSTIME           DLOAD    DMP                                   
049635,000968: 12,2607           00011                                    MIN                                   
049636,000969: 12,2610           00051                                    TWEEKIT                               #  DLOAD TWEEKIT(40D) SENSITIVE TO CHANGE.
049637,000970: 12,2611           41325                           PDDL     DMP                                   #  S2(41D) SHOULDNT CONTAIN HI ORDER ONES

Page 1175

049639,000972: 12,2612           00017                                    MAX                                   
049640,000973: 12,2613           00051                                    TWEEKIT                               
049641,000974: 12,2614           77625                           DSU                                            
049642,000975: 12,2615           52165                           SIGN     GOTO                                  
049643,000976: 12,2616           02760                                    DELDEP                                
049644,000977: 12,2617           24562                                    SGNCHECK                              
049645,000978: 
049646,000979: 12,2620           43145        POSDEL             DLOAD    BON                                   
049647,000980: 12,2621           02766                                    INDEP                                 
049648,000981: 12,2622           04311                                    ORDERSW                               
049649,000982: 12,2623           24625                                    MAXCHECK                              
049650,000983: 12,2624           00011                           STORE    MIN                                   #  IF NOT 2ND ORDER, CAN MOVE MIN BOUND IN.
049651,000984: 
049652,000985: 12,2625           45221        MAXCHECK           BDSU     DSU                                   
049653,000986: 12,2626           00017                                    MAX                                   
049654,000987: 12,2627           50000                           BOV      BMN                                   
049655,000988: 12,2630           24636                                    MODPSDEL                              
049656,000989: 12,2631           24636                                    MODPSDEL                              
049657,000990: 12,2632           77745        DELOK              DLOAD                                          
049658,000991: 12,2633           00001                                    0D                                    
049659,000992: 12,2634           00015        NEWDEL             STORE    DELINDEP                              
049660,000993: 12,2635           77616                           RVQ                                            
049661,000994: 
049662,000995: 12,2636           45345        MODPSDEL           DLOAD    DSU                                   
049663,000996: 12,2637           00017                                    MAX                                   
049664,000997: 12,2640           02766                                    INDEP                                 
049665,000998: 12,2641           52005                           DMP      GOTO                                  
049666,000999: 12,2642           11033                                    DP9/10                                
049667,001000: 12,2643           24634                                    NEWDEL                                
049668,001001: 
049669,001002: 12,2644           44753        CHECKCTR           CS       ONE                                   
049670,001003: 12,2645           50120                           INDEX    FIXLOC                                
049671,001004: 12,2646           60026                           AD       ITERCTR                               
049672,001005: 12,2647           50120                           INDEX    FIXLOC                                
049673,001006: 12,2650           54026                           TS       ITERCTR                               
049674,001007: 12,2651           54154                           TS       MPAC                                  
049675,001008: 12,2652           06064                           TC       DANZIG                                
049676,001009: 

Page 1176

049678,001011: 12,2653           44545        NEWSTATE           DLOAD    SR4R                                  
049679,001012: 12,2654           00041                                    R1                                    
049680,001013: 12,2655           74225                           DSU      VXSC                                  
049681,001014: 12,2656           00035                                    XSQC(XI)                              
049682,001015: 12,2657           02722                                    UR1                                   
049683,001016: 12,2660           65372                           VSL1     PDDL                                  #  0D=(R1-XSQC(XI))UR1 (+33 OR 31) PL AT 6
049684,001017: 12,2661           00025                                    X                                     
049685,001018: 12,2662           60316                           DSQ      NORM                                  
049686,001019: 12,2663           00047                                    X1                                    
049687,001020: 12,2664           57275                           DMPR     DMPR                                  
049688,001021: 12,2665           00023                                    1/ROOTMU                              
049689,001022: 12,2666           00025                                    X                                     
049690,001023: 12,2667           53605                           DMP      SRR*                                  
049691,001024: 12,2670           00033                                    S(XI)                                 
049692,001025: 12,2671           21572                                    0          -7,1                       
049693,001026: 12,2672           77621                           BDSU                                           
049694,001027: 12,2673           00037                                    T                                     
049695,001028: 12,2674           74352                           SL1      VXSC                                  
049696,001029: 12,2675           02744                                    VVEC                                  
049697,001030: 12,2676           53372                           VSL1     VAD                                   #                                PL AT 0
049698,001031: 12,2677           41512                           VSL4     PUSH                                  
049699,001032: 12,2700           77646                           ABVAL                                          
049700,001033: 12,2701           77701        LAMENTER           NORM                                           
049701,001034: 12,2702           00047                                    X1                                    
049702,001035: 12,2703           16720                           STODL    R2                                    
049703,001036: 12,2704           00031                                    XI                                    
049704,001037: 12,2705           45205                           DMP      DSU                                   
049705,001038: 12,2706           00033                                    S(XI)                                 
049706,001039: 12,2707           11015                                    D1/128                                
049707,001040: 12,2710           76405                           DMP      SL1R                                  
049708,001041: 12,2711           00021                                    ROOTMU                                
049709,001042: 12,2712           53605                           DMP      SLR*                                  
049710,001043: 12,2713           00025                                    X                                     
049711,001044: 12,2714           21176                                    0          -3,1                       
049712,001045: 12,2715           74271                           DDV      VXSC                                  
049713,001046: 12,2716           02720                                    R2                                    
049714,001047: 12,2717           02722                                    UR1                                   
049715,001048: 12,2720           65372                           VSL1     PDDL                                  #  6D=V2VEC PART (+15 OR 13)     PL AT 12
049716,001049: 12,2721           00035                                    XSQC(XI)                              
049717,001050: 12,2722           56257                           SLR*     DDV                                   
049718,001051: 12,2723           21175                                    0          -4,1                       
049719,001052: 12,2724           02720                                    R2                                    
049720,001053: 12,2725           77621                           BDSU                                           
049721,001054: 12,2726           11031                                    D1/256                                
049722,001055: 12,2727           53361                           VXSC     VAD                                   #                                PL AT 6
049723,001056: 12,2730           02744                                    VVEC                                  
049724,001057: 12,2731           43412                           VSL8     RVQ                                   
049725,001058: 

Page 1177

049727,001060: 04,2000                                           SETLOC   CONICS1                               
049728,001061: 04,2000                                           BANK                                           
049729,001062: 
049730,001063: 04,3011                                           COUNT*   $$/CONIC                              
049731,001064:                                                                                                  #  DO NOT DISTURB THE ORDER OF THESE CDS, OVERLAYS HAVE BEEN MADE.
049732,001065: 04,3011           00000        BEE17              DEC      0          B-14                       #  KEEP WITH D1/8 2DEC 1.0B-17 (0000004000)
049733,001066: 04,3012           04000 00000  D1/8               2DEC     1.0        B-3                        
049734,001067: 04,3014           00200 00000  D1/128             2DEC     1.0        B-7                        
049735,001068: 04,3016           00400 00000  D1/64              2DEC     1.0        B-6                        
049736,001069: 04,3020           10000 00000  D1/4               2DEC     1.0        B-2                        
049737,001070: 04,3022           02000 00000  D1/16              2DEC     1.0        B-4                        
049738,001071: 04,3024           01000 00000  D1/32              2DEC     1.0        B-5                        
049739,001072: 04,3026           00020 00000  D1/1024            2DEC     1.0        B-10                       
049740,001073: 04,3030           00100 00000  D1/256             2DEC     1.0        B-8                        
049741,001074: 04,3032           34631 23146  DP9/10             2DEC     .9                                    
049742,001075: 04,3034  12,2006               KEPZERO            EQUALS   LO6ZEROS                              
049743,001076: 04,3034           77467 77777  -50SC              2DEC     -50.0      B-12                       
049744,001077: 04,3036           03110 17665  2PISC              2DEC     6.28318530 B-6                        
049745,001078: 04,3040  04,3023               BEE19              EQUALS   D1/32      -1                         #  2DEC 1.0 B-19 (00000 01000)
049746,001079: 04,3040  04,3027               BEE22              EQUALS   D1/256     -1                         #  2DEC 1.0 B-22 (00000 00100)
049747,001080: 04,3040           00000 00001  ONEBIT             2DEC     1.0        B-28                       
049748,001081: 04,3042           37767 37737  COGUPLIM           2DEC     .999511597                            
049749,001082: 04,3044           40010 40040  COGLOLIM           2DEC     -.999511597                            
049750,001083: 

Page 1178

049752,001085: 12,2000                                           SETLOC   CONICS                                
049753,001086: 12,2000                                           BANK                                           
049754,001087: 
049755,001088: 12,2732                                           COUNT*   $$/CONIC                              
049756,001089: 12,2732           40220        TIMETHET           STQ      SETPD                                 #                                PL AT 0
049757,001090: 12,2733           02710                                    RTNTT                                 
049758,001091: 12,2734           00001                                    0                                     
049759,001092: 12,2735           77600                           BOV                                            
049760,001093: 12,2736           24737                                    +1                                    
049761,001094: 12,2737           63375                           VLOAD    PDVL                                  #  SETUP FOR PARAM CALL          PL AT 6
049762,001095: 12,2740           02655                                    RVEC                                  
049763,001096: 12,2741           02744                                    VVEC                                  
049764,001097: 12,2742           77624                           CALL                                           
049765,001098: 12,2743           11046                                    PARAM                                 
049766,001099: 12,2744           45000                           BOV      CALL                                  #                                PL AT 0
049767,001100: 12,2745           24764                                    COGAOVFL                              
049768,001101: 12,2746           24767                                    GETX                                  
049769,001102: 12,2747           43145        COMMNOUT           DLOAD    BON                                   
049770,001103: 12,2750           00031                                    XI                                    
049771,001104: 12,2751           04310                                    INFINFLG                              
049772,001105: 12,2752           25752                                    ABTCONIC                              
049773,001106: 12,2753           45014                           CLEAR    CALL                                  
049774,001107: 12,2754           04273                                    COGAFLAG                              
049775,001108: 12,2755           24421                                    DELTIME                               
049776,001109: 12,2756           45014                           BON      CALL                                  
049777,001110: 12,2757           03706                                    RVSW                                  
049778,001111: 12,2760           02710                                    RTNTT                                 
049779,001112: 12,2761           24653                                    NEWSTATE                              
049780,001113: 12,2762           77650                           GOTO                                           
049781,001114: 12,2763           02710                                    RTNTT                                 
049782,001115: 
049783,001116: 12,2764           77614        COGAOVFL           SETGO                                          
049784,001117: 12,2765           04033                                    COGAFLAG                              
049785,001118: 12,2766           25752                                    ABTCONIC                              
049786,001119: 
049787,001120: 04,3046                                           BANK     4                                     
049788,001121: 04,2000                                           SETLOC   CONICS1                               
049789,001122: 04,2000                                           BANK                                           
049790,001123: 04,3046                                           COUNT*   $$/CONIC                              
049791,001124: 04,3046           43020        PARAM              STQ      CLEAR                                 #  MPAC=V1VEC, 0D=R1VEC          PL AT 6
049792,001125: 04,3047           02753                                    RTNPRM                                
049793,001126: 04,3050           03665                                    NORMSW                                
049794,001127: 04,3051           77614                           CLEAR                                          
049795,001128: 04,3052           04273                                    COGAFLAG                              
049796,001129: 04,3053           45131                           SSP      CALL                                  
049797,001130: 04,3054           02673                                    GEOMSGN                               
049798,001131: 04,3055           27777                                    37777                                 #  GAMMA ALWAYS LESS THAN 180DEG
049799,001132: 04,3056           11112                                    GEOM                                  #  MPAC=SNGA (+1), 0D=CSGA (+1)  PL AT 2
049800,001133: 04,3057           14045                           STODL    36D                                   #  36D=SIN GAMMA (+1)            PL AT 0
049801,001134: 04,3060           56261                           SR       DDV                                   

Page 1179

049803,001136: 04,3061           20606                                    5                                     
049804,001137: 04,3062           00045                                    36D                                   
049805,001138: 04,3063           32766                           STOVL*   COGA                                  
049806,001139: 04,3064           10005                                    MUTABLE,1                             
049807,001140: 04,3065           14017                           STODL    1/MU                                  
049808,001141: 04,3066           02720                                    MAGVEC2                               
049809,001142: 04,3067           60316                           DSQ      NORM                                  
049810,001143: 04,3070           00047                                    X1                                    
049811,001144: 04,3071           41275                           DMPR     DMP                                   
049812,001145: 04,3072           00017                                    1/MU                                  
049813,001146: 04,3073           00041                                    R1                                    
049814,001147: 04,3074           77657                           SRR*                                           
049815,001148: 04,3075           21576                                    0          -3,1                       
049816,001149: 04,3076           44206                           PUSH     BDSU                                  #  0D=R1 V1SQ/MU (+6)            PL AT 2
049817,001150: 04,3077           11025                                    D1/32                                 
049818,001151: 04,3100           16742                           STODL    R1A                                   #  R1A (+6)                      PL AT 0
049819,001152: 
049820,001153: 04,3101           60205                           DMP      NORM                                  
049821,001154: 04,3102           00045                                    36D                                   
049822,001155: 04,3103           00047                                    X1                                    
049823,001156: 04,3104           53605                           DMP      SR*                                   
049824,001157: 04,3105           00045                                    36D                                   
049825,001158: 04,3106           20575                                    0          -4,1                       
049826,001159: 04,3107           02740                           STORE    P                                     #  P (+4)
049827,001160: 04,3110           77650                           GOTO                                           
049828,001161: 04,3111           02753                                    RTNPRM                                
049829,001162: 

Page 1180

049831,001164: 04,3112           77656        GEOM               UNIT                                           #  MPAC=V2VEC, 0D=R1VEC          PL AT 6
049832,001165: 04,3113           16712                           STODL    U2                                    #  U2 (+1)
049833,001166: 04,3114           00045                                    36D                                   
049834,001167: 04,3115           26720                           STOVL    MAGVEC2                               #                                PL AT 0
049835,001168: 04,3116           77656                           UNIT                                           
049836,001169: 04,3117           02722                           STORE    UR1                                   #  UR1 (+1)
049837,001170: 04,3120           72441                           DOT      SL1                                   
049838,001171: 04,3121           02712                                    U2                                    
049839,001172: 04,3122           77725                           PDDL                                           #  OD=CSTH (+1)                  PL AT 2
049840,001173: 04,3123           00045                                    36D                                   
049841,001174: 04,3124           24041                           STOVL    R1                                    #  R1 (+29 OR +27)
049842,001175: 04,3125           02722                                    UR1                                   
049843,001176: 04,3126           76435                           VXV      VSL1                                  
049844,001177: 04,3127           02712                                    U2                                    
049845,001178: 04,3130           75214                           BON      SIGN                                  
049846,001179: 04,3131           03705                                    NORMSW                                
049847,001180: 04,3132           11144                                    HAVENORM                              
049848,001181: 04,3133           02673                                    GEOMSGN                               
049849,001182: 04,3134           40056                           UNIT     BOV                                   
049850,001183: 04,3135           11142                                    COLINEAR                              
049851,001184: 04,3136           16674        UNITNORM           STODL    UN                                    #  UN (+1)
049852,001185: 04,3137           00045                                    36D                                   
049853,001186: 04,3140           43565                           SIGN     RVQ                                   #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049854,001187: 04,3141           02673                                    GEOMSGN                               
049855,001188: 
049856,001189: 04,3142           52162        COLINEAR           VSR1     GOTO                                  
049857,001190: 04,3143           11136                                    UNITNORM                              
049858,001191: 
049859,001192: 04,3144           75246        HAVENORM           ABVAL    SIGN                                  
049860,001193: 04,3145           02673                                    GEOMSGN                               
049861,001194: 04,3146           77616                           RVQ                                            #  MPAC=SNTH (+1), 34D=SNTH.SNTH (+2)
049862,001195: 

Page 1181

049864,001197: 12,2767                                           BANK     12                                    
049865,001198: 12,2000                                           SETLOC   CONICS                                
049866,001199: 12,2000                                           BANK                                           
049867,001200: 
049868,001201: 12,2767                                           COUNT*   $$/CONIC                              
049869,001202: 12,2767           66374        GETX               AXT,2    SSP                                   #  ASSUMES P (+4) IN MPAC
049870,001203: 12,2770           00003                                    3                                     
049871,001204: 12,2771           00052                                    S2                                    
049872,001205: 12,2772           00001                                    1                                     
049873,001206: 12,2773           77614                           CLEAR                                          
049874,001207: 12,2774           04276                                    360SW                                 
049875,001208: 12,2775           65366                           SQRT     PDDL                                  #  0D=SQRT(P)                    PL AT 2
049876,001209: 12,2776           02732                                    CSTH                                  
049877,001210: 12,2777           44342                           SR1      BDSU                                  
049878,001211: 12,3000           11021                                    D1/4                                  
049879,001212: 12,3001           54325                           PDDL     SRR                                   #                                PL AT 4D
049880,001213: 12,3002           02730                                    SNTH                                  
049881,001214: 12,3003           21607                                    6                                     
049882,001215: 12,3004           77671                           DDV                                            #                                PL AT 2
049883,001216: 12,3005           77600                           BOV                                            
049884,001217: 12,3006           25122                                    360CHECK                              
049885,001218: 12,3007           41225                           DSU      DMP                                   
049886,001219: 12,3010           02766                                    COGA                                  #                                PL AT 0
049887,001220: 12,3011           40132                           SL2R     BOV                                   
049888,001221: 12,3012           25122                                    360CHECK                              
049889,001222: 12,3013           63406        WLOOP              PUSH     DSQ                                   #  0D=W (+5)                     PL AT 2
049890,001223: 12,3014           65351                           TLOAD    PDDL                                  #  2D=WSQ (+10)                  PL AT 5
049891,001224: 12,3015           00155                                    MPAC                                  
049892,001225: 12,3016           02742                                    R1A                                   
049893,001226: 12,3017           76202                           SR4      TAD                                   #                                PL AT 2
049894,001227: 12,3020           75440                           BMN      SQRT                                  
049895,001228: 12,3021           25205                                    INFINITY                              
049896,001229: 12,3022           43306                           ROUND    DAD                                   #                                PL AT 0D
049897,001230: 12,3023           61000                           BOV      TIX,2                                 
049898,001231: 12,3024           25120                                    RESETX2                               
049899,001232: 12,3025           25013                                    WLOOP                                 
049900,001233: 
049901,001234: 12,3026           40065                           BDDV     BOV                                   
049902,001235: 12,3027           11015                                    D1/128                                
049903,001236: 12,3030           25205                                    INFINITY                              
049904,001237: 12,3031           41440        POLYCOEF           BMN      PUSH                                  #  0D=1/W (+2) OR 16/W (+6)      PL AT 2
049905,001238: 12,3032           25205                                    INFINITY                              
049906,001239: 12,3033           77716                           DSQ                                            
049907,001240: 12,3034           41301                           NORM     DMP                                   
049908,001241: 12,3035           00047                                    X1                                    
049909,001242: 12,3036           02742                                    R1A                                   
049910,001243: 12,3037           77457                           SRR*     EXIT                                  
049911,001244: 12,3040           21567                                    0          -10D,1                     
049912,001245: 12,3041           07225                           TC       POLY                                  

Page 1182

049914,001247: 12,3042           00005                           DEC      5          B-14                       
049915,001248: 12,3043           20000 00000                     2DEC     .5                                    
049916,001249: 12,3045           72525 52471                     2DEC     -.166666770                            
049917,001250: 12,3047           03146 15003                     2DEC     .100000392                            
049918,001251: 12,3051           75556 45210                     2DEC     -.071401086                            
049919,001252: 12,3053           01615 13553                     2DEC     .055503292                            
049920,001253: 12,3055           76371 63777                     2DEC     -.047264098                            
049921,001254: 12,3057           01232 27367                     2DEC     .040694204                            
049922,001255: 
049923,001256: 12,3061           06042                           TC       INTPRET                               
049924,001257: 12,3062           76405                           DMP      SL1R                                  #                                PL AT 0D
049925,001258: 12,3063           43006                           PUSH     BON                                   
049926,001259: 12,3064           04316                                    360SW                                 
049927,001260: 12,3065           25172                                    TRUE360X                              
049928,001261: 12,3066           60316        XCOMMON            DSQ      NORM                                  
049929,001262: 12,3067           00047                                    X1                                    
049930,001263: 12,3070           53605                           DMP      SRR*                                  
049931,001264: 12,3071           02742                                    R1A                                   
049932,001265: 12,3072           21565                                    0          -12D,1                     
049933,001266: 12,3073           14031                           STODL    XI                                    #  XI (+6)
049934,001267: 12,3074           00041                                    R1                                    
049935,001268: 12,3075           75542                           SR1      SQRT                                  
049936,001269: 12,3076           41306                           ROUND    DMP                                   
049937,001270: 12,3077           77632                           SL4R                                           #                                PL AT 0
049938,001271: 12,3100           00025                           STORE    X                                     #  X (+17 OR +16)
049939,001272: 
049940,001273: 12,3101           60316                           DSQ      NORM                                  
049941,001274: 12,3102           00047                                    X1                                    
049942,001275: 12,3103           41325                           PDDL     DMP                                   #  0D=XSQ (+34 OR +32 -N1)       PL AT 2
049943,001276: 12,3104           02740                                    P                                     
049944,001277: 12,3105           00041                                    R1                                    
049945,001278: 12,3106           75452                           SL3      SQRT                                  
049946,001279: 12,3107           56405                           DMP      SL3R                                  
049947,001280: 12,3110           02766                                    COGA                                  
049948,001281: 12,3111           14043                           STODL    KEPC1                                 
049949,001282: 12,3112           02742                                    R1A                                   
049950,001283: 12,3113           43021                           BDSU     CLEAR                                 
049951,001284: 12,3114           11017                                    D1/64                                 
049952,001285: 12,3115           04270                                    INFINFLG                              
049953,001286: 12,3116           00045                           STORE    KEPC2                                 
049954,001287: 12,3117           77616                           RVQ                                            
049955,001288: 

Page 1183

049957,001290: 12,3120           77774        RESETX2            AXT,2                                          
049958,001291: 12,3121           00003                                    3                                     
049959,001292: 
049960,001293: 12,3122           51001        360CHECK           SETPD    BPL                                   
049961,001294: 12,3123           00001                                    0D                                    
049962,001295: 12,3124           25127                                    INVRSEQN                              
049963,001296: 12,3125           77614                           SET                                            
049964,001297: 12,3126           04076                                    360SW                                 
049965,001298: 
049966,001299: 12,3127           75545        INVRSEQN           DLOAD    SQRT                                  
049967,001300: 12,3130           02740                                    P                                     
049968,001301: 12,3131           41325                           PDDL     DMP                                   #  0D=SQRT(P) (+2)               PL AT 2
049969,001302: 12,3132           02730                                    SNTH                                  
049970,001303: 12,3133           02766                                    COGA                                  
049971,001304: 12,3134           65352                           SL1      PDDL                                  #  2D=SNTH COGA (+5)             PL AT 4
049972,001305: 12,3135           02732                                    CSTH                                  
049973,001306: 12,3136           43202                           SR4      DAD                                   
049974,001307: 12,3137           11025                                    D1/32                                 
049975,001308: 12,3140           41225                           DSU      DMP                                   #                                PL AT 2,0
049976,001309: 12,3141           55301                           NORM     BDDV                                  
049977,001310: 12,3142           00047                                    X1                                    
049978,001311: 12,3143           02730                                    SNTH                                  
049979,001312: 12,3144           51457                           SLR*     ABS                                   #  NOTE: NEAR 360 CASE TREATED DIFFERENTLY
049980,001313: 12,3145           21174                                    0          -5,1                       
049981,001314: 12,3146           63406                           PUSH     DSQ                                   #  0D=1/W (-1)                   PL AT 2
049982,001315: 12,3147           14043                           STODL    34D                                   
049983,001316: 12,3150           11023                                    D1/16                                 
049984,001317: 12,3151           63406        1/WLOOP            PUSH     DSQ                                   #  2D=G (+4)                     PL AT 4
049985,001318: 12,3152           65234                           RTB      PDDL                                  #                                PL AT 7
049986,001319: 12,3153           21634                                    TPMODE                                
049987,001320: 12,3154           02742                                    R1A                                   
049988,001321: 12,3155           40405                           DMP      SR4                                   
049989,001322: 12,3156           00043                                    34D                                   
049990,001323: 12,3157           77771                           TAD                                            #                                PL AT 4
049991,001324: 12,3160           75440                           BMN      SQRT                                  
049992,001325: 12,3161           25205                                    INFINITY                              
049993,001326: 12,3162           77615                           DAD                                            #                                PL AT 2
049994,001327: 12,3163           60304                           TIX,2    NORM                                  
049995,001328: 12,3164           25151                                    1/WLOOP                               
049996,001329: 12,3165           00047                                    X1                                    
049997,001330: 12,3166           77665                           BDDV                                           
049998,001331: 12,3167           52057                           SLR*     GOTO                                  #                                PL AT 0
049999,001332: 12,3170           21172                                    0          -7,1                       
050000,001333: 12,3171           25031                                    POLYCOEF                              
050001,001334: 
050002,001335: 12,3172           50145        TRUE360X           DLOAD    BMN                                   
050003,001336: 12,3173           02742                                    R1A                                   

Page 1184

050005,001338: 12,3174           25205                                    INFINITY                              
050006,001339: 12,3175           60366                           SQRT     NORM                                  
050007,001340: 12,3176           00047                                    X1                                    
050008,001341: 12,3177           53665                           BDDV     SL*                                   
050009,001342: 12,3200           11037                                    2PISC                                 
050010,001343: 12,3201           20176                                    0          -3,1                       
050011,001344: 12,3202           41425                           DSU      PUSH                                  #  0D=2PI/SQRT(R1A) -X           PL AT 0,2
050012,001345: 12,3203           77650                           GOTO                                           
050013,001346: 12,3204           25066                                    XCOMMON                               
050014,001347: 12,3205           40001        INFINITY           SETPD    BOV                                   #  NO SOLUTION EXISTS SINCE CLOSURE THROUGH
050015,001348: 12,3206           00001                                    0                                     #  INFINITY IS REQUIRED
050016,001349: 12,3207           25210                                    OVFLCLR                               
050017,001350: 12,3210           43414        OVFLCLR            SET      RVQ                                   
050018,001351: 12,3211           04070                                    INFINFLG                              
050019,001352: 

Page 1185

050021,001354: 12,3212           40220        LAMBERT            STQ      SETPD                                 
050022,001355: 12,3213           02710                                    RTNLAMB                               
050023,001356: 12,3214           00001                                    0D                                    
050024,001357: 12,3215           77600                           BOV                                            
050025,001358: 12,3216           25217                                    +1                                    
050026,001359: 12,3217           76614                           CLEAR    VLOAD*                                
050027,001360: 12,3220           02674                                    SOLNSW                                
050028,001361: 12,3221           10005                                    MUTABLE,1                             
050029,001362: 12,3222           14017                           STODL    1/MU                                  
050030,001363: 12,3223           02671                                    TDESIRED                              
050031,001364: 12,3224           77675                           DMPR                                           
050032,001365: 12,3225           11024                                    BEE19                                 
050033,001366: 12,3226           02764                           STORE    EPSILONL                              
050034,001367: 12,3227           77214                           SET      VLOAD                                 
050035,001368: 12,3230           00474                                    SLOPESW                               
050036,001369: 12,3231           02655                                    R1VEC                                 
050037,001370: 12,3232           45115                           PDVL     CALL                                  #  0D=R1VEC (+29 OR +27)         PL AT 6
050038,001371: 12,3233           02663                                    R2VEC                                 #  MPAC=R2VEC (+29 OR +27)
050039,001372: 12,3234           11112                                    GEOM                                  
050040,001373: 12,3235           16730                           STODL    SNTH                                  #  0D=CSTH (+1)                  PL AT 2
050041,001374: 12,3236           02720                                    MAGVEC2                               
050042,001375: 12,3237           65301                           NORM     PDDL                                  #                                PL AT 4
050043,001376: 12,3240           00047                                    X1                                    
050044,001377: 12,3241           00041                                    R1                                    
050045,001378: 12,3242           56342                           SR1      DDV                                   #                                PL AT 2
050046,001379: 12,3243           65257                           SL*      PDDL                                  #  DXCH WITH 0D, 0D=R1/R2 (+7)   PL AT 0,2
050047,001380: 12,3244           20173                                    0          -6,1                       
050048,001381: 12,3245           77626                           STADR                                          
050049,001382: 12,3246           75045                           STORE    CSTH                                  #  CSTH (+1)
050050,001383: 12,3247           44342                           SR1      BDSU                                  
050051,001384: 12,3250           11021                                    D1/4                                  
050052,001385: 12,3251           02734                           STORE    1-CSTH                                #  1-CSTH (+2)
050053,001386: 
050054,001387: 12,3252           53106                           ROUND    BZE                                   
050055,001388: 12,3253           25473                                    360LAMB                               
050056,001389: 12,3254           65301                           NORM     PDDL                                  #                                PL AT 4
050057,001390: 12,3255           00047                                    X1                                    
050058,001391: 12,3256           00001                                    0D                                    
050059,001392: 12,3257           56342                           SR1      DDV                                   #                                PL AT 2
050060,001393: 12,3260           75457                           SL*      SQRT                                  
050061,001394: 12,3261           20176                                    0          -3,1                       
050062,001395: 12,3262           54325                           PDDL     SR                                    #  2D=SQRT(2R1/R2(1-CSTH)) (+5)  PL AT 4
050063,001396: 12,3263           02730                                    SNTH                                  
050064,001397: 12,3264           20607                                    6                                     
050065,001398: 12,3265           43271                           DDV      DAD                                   #                                PL AT 2
050066,001399: 12,3266           02734                                    1-CSTH                                
050067,001400: 12,3267           77626                           STADR                                          
050068,001401: 12,3270           77760                           STORE    COGAMAX                               
050069,001402: 12,3271           50000                           BOV      BMN                                   #  IF OVFL, COGAMAX=COGUPLIM
050070,001403: 12,3272           25277                                    UPLIM                                 #  IF NEG, USE EVEN IF LT COGLOLIM, SINCE

Page 1186

050072,001405: 12,3273           25302                                    MAXCOGA                               #    THIS WOULD BE RESET IN LAMBLOOP
050073,001406: 12,3274           50025                           DSU      BMN                                   #  IF COGAMAX GT COGUPLIM, COGAMAX=COGUPLIM
050074,001407: 12,3275           11043                                    COGUPLIM                              
050075,001408: 12,3276           25302                                    MAXCOGA                               #  OTHERWISE OK, SO GO TO MAXCOGA
050076,001409: 12,3277           77745        UPLIM              DLOAD                                          
050077,001410: 12,3300           11043                                    COGUPLIM                              #  COGUPLIM=.999511597 = MAX VALUE OF COGA
050078,001411: 12,3301           00017                           STORE    COGAMAX                               #    NOT CAUSING OVFL IN R1A CALCULATION
050079,001412: 12,3302           77745        MAXCOGA            DLOAD                                          
050080,001413: 12,3303           02732                                    CSTH                                  
050081,001414: 12,3304           45261                           SR       DSU                                   #                                PL AT 0
050082,001415: 12,3305           20607                                    6                                     
050083,001416: 12,3306           77626                           STADR                                          
050084,001417: 12,3307           61041                           STODL    CSTH-RHO                              
050085,001418: 12,3310           02673                                    GEOMSGN                               
050086,001419: 12,3311           71240                           BMN      DLOAD                                 
050087,001420: 12,3312           25513                                    LOLIM                                 
050088,001421: 12,3313           02736                                    CSTH-RHO                              
050089,001422: 12,3314           56352                           SL1      DDV                                   
050090,001423: 12,3315           02730                                    SNTH                                  
050091,001424: 12,3316           77600                           BOV                                            
050092,001425: 12,3317           25513                                    LOLIM                                 
050093,001426: 12,3320           00011        MINCOGA            STORE    COGAMIN                               #  COGAMIN (+5)
050094,001427: 12,3321           66214                           BON      SSP                                   
050095,001428: 12,3322           00715                                    GUESSW                                
050096,001429: 12,3323           25477                                    NOGUESS                               
050097,001430: 12,3324           00051                                    TWEEKIT                               
050098,001431: 12,3325           00001                                    00001                                 
050099,001432: 12,3326           77745                           DLOAD                                          
050100,001433: 12,3327           02766                                    COGA                                  
050101,001434: 
050102,001435: 12,3330           77605        LAMBLOOP           DMP                                            
050103,001436: 12,3331           02730                                    SNTH                                  
050104,001437: 12,3332           45342                           SR1      DSU                                   
050105,001438: 12,3333           02736                                    CSTH-RHO                              
050106,001439: 12,3334           65301                           NORM     PDDL                                  #  0D=SNTH COGA-(CSTH-RHO) (+7+C(X1)) PL=2
050107,001440: 12,3335           00047                                    X1                                    
050108,001441: 12,3336           02734                                    1-CSTH                                
050109,001442: 12,3337           56257                           SL*      DDV                                   #  1-CSTH (+2)                   PL AT 0
050110,001443: 12,3340           20170                                    0          -9D,1                      
050111,001444: 12,3341           53040                           BMN      BZE                                   
050112,001445: 12,3342           25427                                    NEGP                                  
050113,001446: 12,3343           25427                                    NEGP                                  
050114,001447: 12,3344           16740                           STODL    P                                     #  P=(1-CSTH)/(SNTH COGA-(CSTH-RHO)) (+4)
050115,001448: 12,3345           02766                                    COGA                                  
050116,001449: 12,3346           43316                           DSQ      DAD                                   
050117,001450: 12,3347           11027                                    D1/1024                               
050118,001451: 12,3350           41301                           NORM     DMP                                   
050119,001452: 12,3351           00047                                    X1                                    
050120,001453: 12,3352           02740                                    P                                     

Page 1187

050122,001455: 12,3353           44257                           SR*      BDSU                                  
050123,001456: 12,3354           20571                                    0          -8D,1                      
050124,001457: 12,3355           11025                                    D1/32                                 
050125,001458: 12,3356           16742                           STODL    R1A                                   #  R1A=2-P(1+COGA COGA) (+6)
050126,001459: 12,3357           02740                                    P                                     
050127,001460: 12,3360           45000                           BOV      CALL                                  
050128,001461: 12,3361           25432                                    HIENERGY                              
050129,001462: 12,3362           24767                                    GETX                                  
050130,001463: 12,3363           77745                           DLOAD                                          
050131,001464: 12,3364           00037                                    T                                     
050132,001465: 12,3365           16762                           STODL    TPREV                                 
050133,001466: 12,3366           00031                                    XI                                    
050134,001467: 12,3367           45014                           BON      CALL                                  
050135,001468: 12,3370           04310                                    INFINFLG                              
050136,001469: 12,3371           25427                                    NEGP                                  #  HAVE EXCEEDED THEORETICAL BOUNDS
050137,001470: 12,3372           24421                                    DELTIME                               
050138,001471: 12,3373           44200                           BOV      BDSU                                  
050139,001472: 12,3374           25447                                    BIGTIME                               
050140,001473: 12,3375           02671                                    TDESIRED                              
050141,001474: 12,3376           02760                           STORE    TERRLAMB                              
050142,001475: 12,3377           44246                           ABS      BDSU                                  
050143,001476: 12,3400           02764                                    EPSILONL                              
050144,001477: 12,3401           47044                           BPL      RTB                                   
050145,001478: 12,3402           25516                                    INITV                                 
050146,001479: 12,3403           24644                                    CHECKCTR                              
050147,001480: 12,3404           43030                           BHIZ     BON                                   
050148,001481: 12,3405           25460                                    SUFFCHEK                              
050149,001482: 12,3406           00714                                    SLOPESW                               
050150,001483: 12,3407           25415                                    GOITER                                
050151,001484: 12,3410           45345                           DLOAD    DSU                                   
050152,001485: 12,3411           00037                                    T                                     
050153,001486: 12,3412           02762                                    TPREV                                 
050154,001487: 12,3413           77654                           BZE                                            
050155,001488: 12,3414           25460                                    SUFFCHEK                              
050156,001489: 12,3415           77624        GOITER             CALL                                           
050157,001490: 12,3416           24536                                    ITERATOR                              
050158,001491: 12,3417           53145                           DLOAD    BZE                                   
050159,001492: 12,3420           00155                                    MPAC                                  
050160,001493: 12,3421           25460                                    SUFFCHEK                              
050161,001494: 12,3422           77615                           DAD                                            
050162,001495: 12,3423           02766                                    COGA                                  
050163,001496: 12,3424           02766                           STORE    COGA                                  
050164,001497: 12,3425           77650                           GOTO                                           
050165,001498: 12,3426           25330                                    LAMBLOOP                              
050166,001499: 
050167,001500: 
050168,001501: 12,3427           51145        NEGP               DLOAD    BPL                                   #  IMPOSSIBLE TRAJECTORY DUE TO INACCURATE
050169,001502: 12,3430           00015                                    DCOGA                                 #  BOUND CALCULATION. TRY NEW COGA.
050170,001503: 12,3431           25452                                    LOENERGY                              
050171,001504: 

Page 1188

050173,001506: 12,3432           71201        HIENERGY           SETPD    DLOAD                                 #  HIGH ENERGY TRAJECTORY RESULTED
050174,001507: 12,3433           00001                                    0                                     
050175,001508: 12,3434           02766                                    COGA                                  #  IN OVFL OF P OR R1A, OR XI EXCEEDING 50.
050176,001509: 12,3435           00011                           STORE    COGAMIN                               #  THIS IS THE NEW BOUND.
050177,001510: 12,3436           70545        COMMONLM           DLOAD    SR1                                   
050178,001511: 12,3437           00015                                    DCOGA                                 
050179,001512: 
050180,001513: 12,3440           00015                           STORE    DCOGA                                 #  USE DCOGA/2 AS DECREMENT
050181,001514: 12,3441           44254                           BZE      BDSU                                  
050182,001515: 12,3442           25460                                    SUFFCHEK                              
050183,001516: 12,3443           02766                                    COGA                                  
050184,001517: 12,3444           02766                           STORE    COGA                                  
050185,001518: 12,3445           77650                           GOTO                                           #  RESTART THIS LOOP
050186,001519: 12,3446           25330                                    LAMBLOOP                              
050187,001520: 
050188,001521: 12,3447           77745        BIGTIME            DLOAD                                          
050189,001522: 12,3450           02762                                    TPREV                                 
050190,001523: 12,3451           00037                           STORE    T                                     
050191,001524: 
050192,001525: 12,3452           71201        LOENERGY           SETPD    DLOAD                                 #  LOW ENERGY TRAJECTORY RESULTED
050193,001526: 12,3453           00001                                    0                                     
050194,001527: 12,3454           02766                                    COGA                                  #  IN OVERFLOW OF TIME.
050195,001528: 12,3455           00017                           STORE    COGAMAX                               #  THIS IS THE NEW BOUND.
050196,001529: 12,3456           77650                           GOTO                                           
050197,001530: 12,3457           25436                                    COMMONLM                              
050198,001531: 
050199,001532: 12,3460           51545        SUFFCHEK           DLOAD    ABS                                   
050200,001533: 12,3461           02760                                    TERRLAMB                              
050201,001534: 12,3462           41325                           PDDL     DMP                                   #                                PL AT 2D
050202,001535: 12,3463           02671                                    TDESIRED                              
050203,001536: 12,3464           11012                                    BEE17                                 
050204,001537: 12,3465           45215                           DAD      DSU                                   #                                PL AT 0D
050205,001538: 12,3466           11041                                    ONEBIT                                
050206,001539: 12,3467           43044                           BPL      SETGO                                 
050207,001540: 12,3470           25516                                    INITV                                 
050208,001541: 12,3471           02434                                    SOLNSW                                
050209,001542: 12,3472           25516                                    INITV                                 
050210,001543: 12,3473           43001        360LAMB            SETPD    SETGO                                 #  LAMBERT CANNOT HANDLE CSTH=1
050211,001544: 12,3474           00001                                    0                                     
050212,001545: 12,3475           02434                                    SOLNSW                                
050213,001546: 12,3476           02710                                    RTNLAMB                               
050214,001547: 
050215,001548: 12,3477           71331        NOGUESS            SSP      DLOAD                                 
050216,001549: 12,3500           00051                                    TWEEKIT                               
050217,001550: 12,3501           10000                                    20000                                 
050218,001551: 12,3502           00011                                    COGAMIN                               
050219,001552: 12,3503           65342                           SR1      PDDL                                  #                                PL AT 2

Page 1189

050221,001554: 12,3504           00017                                    COGAMAX                               
050222,001555: 12,3505           43342                           SR1      DAD                                   
050223,001556: 12,3506           77626                           STADR                                          #                                PL AT 0
050224,001557: 12,3507           75011                           STORE    COGA                                  
050225,001558: 12,3510           00015                           STORE    DCOGA                                 
050226,001559: 12,3511           77650                           GOTO                                           
050227,001560: 12,3512           25330                                    LAMBLOOP                              
050228,001561: 
050229,001562: 12,3513           52145        LOLIM              DLOAD    GOTO                                  
050230,001563: 12,3514           11045                                    COGLOLIM                              #  COGLOLIM=-.999511597
050231,001564: 12,3515           25320                                    MINCOGA                               
050232,001565: 
050233,001566: 12,3516           60345        INITV              DLOAD    NORM                                  
050234,001567: 12,3517           00041                                    R1                                    
050235,001568: 12,3520           00047                                    X1                                    
050236,001569: 12,3521           70525                           PDDL     SR1                                   #                                PL AT 2
050237,001570: 12,3522           02740                                    P                                     
050238,001571: 12,3523           77671                           DDV                                            #                                PL AT 0
050239,001572: 12,3524           75457                           SL*      SQRT                                  
050240,001573: 12,3525           20175                                    0          -4,1                       
050241,001574: 12,3526           72405                           DMP      SL1                                   
050242,001575: 12,3527           00021                                    ROOTMU                                
050243,001576: 12,3530           41206                           PUSH     DMP                                   #  0D=VTAN (+7)                  PL AT 2
050244,001577: 12,3531           02766                                    COGA                                  
050245,001578: 12,3532           74261                           SL       VXSC                                  
050246,001579: 12,3533           20206                                    5                                     
050247,001580: 12,3534           02722                                    UR1                                   
050248,001581: 12,3535           77725                           PDDL                                           #  XCH WITH 0D                   PL AT 0,6
050249,001582: 12,3536           76561                           VXSC     VSL1                                  
050250,001583: 12,3537           02674                                    UN                                    
050251,001584: 12,3540           53235                           VXV      VAD                                   #                                PL AT 0
050252,001585: 12,3541           02722                                    UR1                                   
050253,001586: 12,3542           77772                           VSL1                                           
050254,001587: 12,3543           02744                           STORE    VVEC                                  
050255,001588: 12,3544           53135                           SLOAD    BZE                                   
050256,001589: 12,3545           02702                                    VTARGTAG                              
050257,001590: 12,3546           25551                                    TARGETV                               
050258,001591: 12,3547           77650                           GOTO                                           
050259,001592: 12,3550           02710                                    RTNLAMB                               
050260,001593: 
050261,001594: 12,3551           45145        TARGETV            DLOAD    CALL                                  
050262,001595: 12,3552           02720                                    MAGVEC2                               
050263,001596: 12,3553           24701                                    LAMENTER                              
050264,001597: 12,3554           02703                           STORE    VTARGET                               
050265,001598: 12,3555           77650                           GOTO                                           
050266,001599: 12,3556           02710                                    RTNLAMB                               
050267,001600: 

Page 1190

050269,001602: 12,3557           40220        TIMERAD            STQ      SETPD                                 #                                PL AT 0
050270,001603: 12,3560           02710                                    RTNTR                                 
050271,001604: 12,3561           00001                                    0                                     
050272,001605: 12,3562           77600                           BOV                                            
050273,001606: 12,3563           25564                                    +1                                    
050274,001607: 12,3564           63375                           VLOAD    PDVL                                  #                                PL AT 6
050275,001608: 12,3565           02655                                    RVEC                                  
050276,001609: 12,3566           02744                                    VVEC                                  
050277,001610: 12,3567           77624                           CALL                                           
050278,001611: 12,3570           11046                                    PARAM                                 
050279,001612: 12,3571           71200                           BOV      DLOAD                                 #                                PL AT 0
050280,001613: 12,3572           24764                                    COGAOVFL                              
050281,001614: 12,3573           11025                                    D1/32                                 
050282,001615: 12,3574           41225                           DSU      DMP                                   
050283,001616: 12,3575           02742                                    R1A                                   
050284,001617: 12,3576           02740                                    P                                     
050285,001618: 12,3577           41366                           SQRT     DMP                                   
050286,001619: 12,3600           02766                                    COGA                                  
050287,001620: 12,3601           74212                           SL4      VXSC                                  
050288,001621: 12,3602           02712                                    U2                                    
050289,001622: 12,3603           45325                           PDDL     DSU                                   #                                PL AT 6
050290,001623: 12,3604           11017                                    D1/64                                 
050291,001624: 12,3605           02742                                    R1A                                   
050292,001625: 12,3606           52361                           VXSC     VSU                                   #                                PL AT 0
050293,001626: 12,3607           02722                                    UR1                                   
050294,001627: 12,3610           53512                           VSL4     UNIT                                  
050295,001628: 12,3611           77600                           BOV                                            
050296,001629: 12,3612           25670                                    CIRCULAR                              
050297,001630: 12,3613           60325                           PDDL     NORM                                  #  0D=UNIT(ECC) (+3)             PL AT 6
050298,001631: 12,3614           02756                                    RDESIRED                              #  36D=ECC (+3)
050299,001632: 12,3615           00047                                    X1                                    
050300,001633: 12,3616           41325                           PDDL     DMP                                   #                                PL AT 8
050301,001634: 12,3617           00041                                    R1                                    
050302,001635: 12,3620           02740                                    P                                     
050303,001636: 12,3621           56257                           SL*      DDV                                   #                                PL AT 6
050304,001637: 12,3622           20201                                    0,1                                   
050305,001638: 12,3623           56225                           DSU      DDV                                   
050306,001639: 12,3624           11023                                    D1/16                                 
050307,001640: 12,3625           00045                                    36D                                   #  36D=ECC (+3)
050308,001641: 12,3626           00031                           STORE    COSF                                  
050309,001642: 12,3627           63400                           BOV      DSQ                                   
050310,001643: 12,3630           25674                                    BADR2                                 
050311,001644: 12,3631           50021                           BDSU     BMN                                   
050312,001645: 12,3632           11021                                    D1/4                                  
050313,001646: 12,3633           25674                                    BADR2                                 
050314,001647: 12,3634           75366                           SQRT     SIGN                                  
050315,001648: 12,3635           02755                                    SGNRDOT                               
050316,001649: 12,3636           77614                           CLEAR                                          
050317,001650: 12,3637           04272                                    APSESW                                

Page 1191

050319,001652: 12,3640           76561        TERMNVEC           VXSC     VSL1                                  
050320,001653: 12,3641           02674                                    UN                                    
050321,001654: 12,3642           63235                           VXV      PDVL                                  #  VXCH WITH 0D                  PL AT 0,6
050322,001655: 12,3643           00001                                    0D                                    
050323,001656: 12,3644           53361                           VXSC     VAD                                   #                                PL AT 0
050324,001657: 12,3645           00031                                    COSF                                  
050325,001658: 12,3646           41572                           VSL1     PUSH                                  #  0D=U2                         PL AT 6
050326,001659: 
050327,001660: 12,3647           56241                           DOT      DDV                                   #  LIMITS RESULT TO POSMAX OR NEGMAX
050328,001661: 12,3650           02722                                    UR1                                   
050329,001662: 12,3651           25766                                    DP1/4                                 
050330,001663: 12,3652           40142                           SR1      BOV                                   #  SCALE BACK DOWN TO NORMAL
050331,001664: 12,3653           25654                                    +1                                    #  CLEAR OVFIND IF SET
050332,001665: 12,3654           26732                           STOVL    CSTH                                  #  CSTH (+1)
050333,001666: 12,3655           02722                                    UR1                                   
050334,001667: 12,3656           76435                           VXV      VSL1                                  
050335,001668: 12,3657           72441                           DOT      SL1                                   
050336,001669: 12,3660           02674                                    UN                                    
050337,001670: 12,3661           16730                           STODL    SNTH                                  #  SNTH (+1)
050338,001671: 12,3662           02740                                    P                                     
050339,001672: 12,3663           77624                           CALL                                           
050340,001673: 12,3664           24767                                    GETX                                  
050341,001674: 12,3665           77614                           CLRGO                                          
050342,001675: 12,3666           02634                                    SOLNSW                                
050343,001676: 12,3667           24747                                    COMMNOUT                              
050344,001677: 
050345,001678: 12,3670           43001        CIRCULAR           SETPD    SETGO                                 
050346,001679: 12,3671           00001                                    0                                     
050347,001680: 12,3672           02434                                    SOLNSW                                
050348,001681: 12,3673           25752                                    ABTCONIC                              
050349,001682: 
050350,001683: 12,3674           75345        BADR2              DLOAD    SIGN                                  
050351,001684: 12,3675           24005                                    LODPHALF                              
050352,001685: 12,3676           00031                                    COSF                                  
050353,001686: 12,3677           14031                           STODL    COSF                                  
050354,001687: 12,3700           24007                                    KEPZERO                               
050355,001688: 12,3701           77614                           SETGO                                          
050356,001689: 12,3702           04032                                    APSESW                                
050357,001690: 12,3703           25640                                    TERMNVEC                              
050358,001691: 

Page 1192

050360,001693: 12,3704           40220        APSIDES            STQ      SETPD                                 #                                PL AT 0
050361,001694: 12,3705           02710                                    RTNAPSE                               
050362,001695: 12,3706           00001                                    0D                                    
050363,001696: 12,3707           77600                           BOV                                            
050364,001697: 12,3710           25711                                    +1                                    
050365,001698: 12,3711           63375                           VLOAD    PDVL                                  #                                PL AT 6
050366,001699: 12,3712           02655                                    RVEC                                  
050367,001700: 12,3713           02744                                    VVEC                                  
050368,001701: 12,3714           77624                           CALL                                           
050369,001702: 12,3715           11046                                    PARAM                                 
050370,001703: 12,3716           77600                           BOV                                            #                                PL AT 0
050371,001704: 12,3717           25720                                    GETECC                                
050372,001705: 12,3720           42405        GETECC             DMP      SL4                                   
050373,001706: 12,3721           02742                                    R1A                                   
050374,001707: 12,3722           75421                           BDSU     SQRT                                  
050375,001708: 12,3723           11017                                    D1/64                                 
050376,001709: 12,3724           02752                           STORE    ECC                                   
050377,001710: 12,3725           65215                           DAD      PDDL                                  #                                PL AT 2
050378,001711: 12,3726           11013                                    D1/8                                  
050379,001712: 12,3727           00041                                    R1                                    
050380,001713: 12,3730           72405                           DMP      SL1                                   
050381,001714: 12,3731           02740                                    P                                     
050382,001715: 12,3732           77671                           DDV                                            #                                PL AT 0
050383,001716: 12,3733           60325                           PDDL     NORM                                  #  0D=RP (+29 OR +27)            PL AT 2
050384,001717: 12,3734           02742                                    R1A                                   
050385,001718: 12,3735           00047                                    X1                                    
050386,001719: 12,3736           53725                           PDDL     SL*                                   #                                PL AT 4
050387,001720: 12,3737           00041                                    R1                                    
050388,001721: 12,3740           20174                                    0          -5,1                       
050389,001722: 12,3741           45271                           DDV      DSU                                   #                                PL AT 2,0
050390,001723: 12,3742           50000                           BOV      BMN                                   
050391,001724: 12,3743           25747                                    INFINAPO                              
050392,001725: 12,3744           25747                                    INFINAPO                              
050393,001726: 12,3745           77650                           GOTO                                           
050394,001727: 12,3746           02710                                    RTNAPSE                               
050395,001728: 12,3747           52145        INFINAPO           DLOAD    GOTO                                  #  RETURNS WITH APOAPSIS IN MPAC, PERIAPSIS
050396,001729: 12,3750           24020                                    LDPOSMAX                              
050397,001730: 12,3751           02710                                    RTNAPSE                               #  THAT PL IS AT 0.
050398,001731: 

Page 1193

050400,001733: 12,3752           77776        ABTCONIC           EXIT                                           
050401,001734: 12,3753           05642                           TC       POODOO                                
050402,001735: 12,3754           20607                           OCT      20607                                 
050403,001736: 
050404,001737: 12,3755  12,2017               LDPOSMAX           EQUALS   LODPMAX                               #  DPPOSMAX IN LOW MEMORY.
050405,001738: 
050406,001739:                                                                                                  #  ERASABLE ASSIGNMENTS
050407,001740: 
050408,001741:                                                                                                  #  KEPLER SUBROUTINE
050409,001742: 
050410,001743:                                                                                                  #     INPUT -
050411,001744:                                                                                                  #  RRECT    ERASE  +5
050412,001745:                                                                                                  #  VRECT    ERASE  +5
050413,001746:                                                                                                  #  TAU.     ERASE  +1
050414,001747:                                                                                                  #  XKEP     ERASE  +1
050415,001748:                                                                                                  #  TC       ERASE  +1
050416,001749:                                                                                                  #  XPREV    ERASE  +1
050417,001750: 12,3755                        1/MU               EQUALS   14D                                   
050418,001751: 12,3755                        ROOTMU             EQUALS   16D                                   
050419,001752: 12,3755                        1/ROOTMU           EQUALS   18D                                   
050420,001753: 
050421,001754:                                                                                                  #     OUTPUT -
050422,001755:                                                                                                  #  RCV      ERASE  +5
050423,001756:                                                                                                  #  VCV      ERASE  +5
050424,001757:                                                                                                  #  RC       ERASE  +1
050425,001758:                                                                                                  #  XPREV    ERASE  +1
050426,001759: 
050427,001760:                                                                                                  #  DEBRIS -
050428,001761: 12,3755                        ALPHA              EQUALS   8D                                    
050429,001762: 12,3755                        XMAX               EQUALS   10D                                   
050430,001763: 12,3755                        XMIN               EQUALS   12D                                   
050431,001764: 12,3755                        X                  EQUALS   20D                                   
050432,001765: 12,3755                        XI                 EQUALS   24D                                   
050433,001766: 12,3755                        S(XI)              EQUALS   26D                                   
050434,001767: 12,3755                        XSQC(XI)           EQUALS   28D                                   
050435,001768: 12,3755                        T                  EQUALS   30D                                   
050436,001769: 12,3755                        R1                 EQUALS   32D                                   
050437,001770: 12,3755                        KEPC1              EQUALS   34D                                   
050438,001771: 12,3755                        KEPC2              EQUALS   36D                                   
050439,001772:                                                                                                  #  DELX     ERASE  +1
050440,001773:                                                                                                  #  DELT     ERASE  +1
050441,001774:                                                                                                  #  URRECT   ERASE  +5
050442,001775:                                                                                                  #  RCNORM   ERASE  +1
050443,001776:                                                                                                  #  XPREV    EQUALS XKEP
050444,001777: 
050445,001778: 
050446,001779:                                                                                                  #  LAMBERT SUBROUTINE
050447,001780: 
050448,001781:                                                                                                  #     INPUT-
050449,001782:                                                                                                  #  R1VEC    ERASE  +5

Page 1194

050451,001784:                                                                                                  #  R2VEC    ERASE  +5
050452,001785:                                                                                                  #  TDESIRED ERASE  +1
050453,001786:                                                                                                  #  GEOMSGN  ERASE  +0
050454,001787:                                                                                                  #  GUESSW                        0 IF COGA GUESS AVAILABLE, 1 IF NOT
050455,001788:                                                                                                  #  COGA     ERASE  +1            INPUT ONLY IF GUESSW IS ZERO.
050456,001789:                                                                                                  #  NORMSW                        0 IF UN TO BE COMPUTED, 1 IF UN INPUT
050457,001790:                                                                                                  #  UN       ERASE  +5            ONLY USED IF NORMSW IS 1
050458,001791:                                                                                                  #  VTARGTAG ERASE  +0
050459,001792:                                                                                                  #  TWEEKIT  EQUALS 40D           ONLY USED IF GUESSW IS 0
050460,001793: 
050461,001794:                                                                                                  #     OUTPUT -
050462,001795:                                                                                                  #  VTARGET  ERASE  +5            AVAILABLE ONLY IF VTARGTAG IS ZERO.
050463,001796:                                                                                                  #  V1VEC    EQUALS MPAC
050464,001797: 
050465,001798:                                                                                                  #     DEBRIS -
050466,001799:                                                                                                  #  RTNLAMB  ERASE  +0
050467,001800:                                                                                                  #  U2       ERASE  +5
050468,001801:                                                                                                  #  MAGVEC2  ERASE  +1
050469,001802:                                                                                                  #  UR1      ERASE  +5
050470,001803:                                                                                                  #  R1       EQUALS 31D
050471,001804:                                                                                                  #  UN       ERASE  +5
050472,001805:                                                                                                  #  SNTH     ERASE  +1
050473,001806:                                                                                                  #  CSTH     ERASE  +1
050474,001807:                                                                                                  #  1-CSTH   ERASE  +1
050475,001808:                                                                                                  #  CSTH-RHO ERASE  +1
050476,001809: 12,3755                        COGAMAX            EQUALS   14D                                   #  CLOBBERS 1/MU
050477,001810: 12,3755                        COGAMIN            EQUALS   8D                                    
050478,001811: 12,3755                        DCOGA              EQUALS   12D                                   
050479,001812:                                                                                                  #  TWEEKIT  EQUALS 40D
050480,001813:                                                                                                  #  P        ERASE  +1
050481,001814:                                                                                                  #  COGA     ERASE  +1
050482,001815:                                                                                                  #  R1A      ERASE  +1
050483,001816:                                                                                                  #  X        EQUALS 20D
050484,001817:                                                                                                  #  XSQ      EQUALS 22D
050485,001818:                                                                                                  #  XI       EQUALS 24D
050486,001819:                                                                                                  #  S(XI)    EQUALS 26D
050487,001820:                                                                                                  #  XSQC(XI) EQUALS 28D
050488,001821:                                                                                                  #  T        EQUALS 30D
050489,001822:                                                                                                  #  KEPC1    EQUALS 34D
050490,001823:                                                                                                  #  KEPC2    EQUALS 36D
050491,001824:                                                                                                  #  SLOPESW
050492,001825:                                                                                                  #  SOLNSW
050493,001826: 
050494,001827:                                                                                                  #  OTHERS -
050495,001828:                                                                                                  #  RVEC     EQUALS R1VEC
050496,001829:                                                                                                  #  VVEC     ERASE  +5
050497,001830:                                                                                                  #  COGAFLAG
050498,001831:                                                                                                  #  RVSW
050499,001832:                                                                                                  #  INFINFLG
050500,001833:                                                                                                  #  APSESW

Page 1195

050502,001835:                                                                                                  #  360SW
050503,001836:                                                                                                  #  RTNTT    EQUALS RTNLAMB
050504,001837:                                                                                                  #  ECC      ERASE  +1
050505,001838:                                                                                                  #  RTNTR    EQUALS RTNLAMB
050506,001839:                                                                                                  #  RTNAPSE  EQUALS  RTNLAMB
050507,001840:                                                                                                  #  R2       EQUALS MAGVEC2
050508,001841: 12,3755                        COSF               EQUALS   24D                                   
050509,001842:                                                                                                  #  RTNPRM   ERASE  +0
050510,001843:                                                                                                  #  SGNRDOT  ERASE  +0
050511,001844:                                                                                                  #  RDESIRED ERASE  +1
050512,001845: 
050513,001846:                                                                                                  #  ITERATOR SUBROUTINE
050514,001847:                                                                                                  #  ORDERSW
050515,001848: 12,3755                        MAX                EQUALS   14D                                   #  CLOBBERS 1/MU
050516,001849: 12,3755                        MIN                EQUALS   8D                                    
050517,001850: 
050518,001851:                                                                                                  #  INDEP    ERASE  +1
050519,001852: 12,3755                        DELINDEP           EQUALS   12D                                   
050520,001853: 12,3755                        ITERCTR            EQUALS   22D                                   
050521,001854: 12,3755                        DEP                EQUALS   30D                                   
050522,001855: 
050523,001856:                                                                                                  #  DELDEP   ERASE  +1
050524,001857:                                                                                                  #  DEPREV   ERASE  +1
050525,001858: 12,3755                        TWEEKIT            EQUALS   40D                                   
050526,001859: 
050527,001860: 
050528,001861:                                                                                                  #  MORE KEPLER
050529,001862:                                                                                                  #  EPSILONT ERASE  +1
050530,001863: 
050531,001864:                                                                                                  #  MORE LAMBERT
050532,001865:                                                                                                  #  TERRLAMB EQUALS DELDEP
050533,001866:                                                                                                  #  TPREV    EQUALS DEPREV
050534,001867: 
050535,001868:                                                                                                  #  EPSILONL EQUALS EPSILONT +2     DOUBLE PRECISION WORD

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