Source Code
053865,000001: # Copyright: Public domain.
053866,000002: # Filename: TIME_OF_FREE_FALL.agc
053867,000003: # Purpose: Part of the source code for Luminary 1A build 099.
053868,000004: # It is part of the source code for the Lunar Module's (LM)
053869,000005: # Apollo Guidance Computer (AGC), for Apollo 11.
053870,000006: # Assembler: yaYUL
053871,000007: # Contact: Ron Burkey <info@sandroid.org>.
053872,000008: # Website: www.ibiblio.org/apollo.
053873,000009: # Pages: 1268-1283
053874,000010: # Mod history: 2009-05-26 RSB Adapted from the corresponding
053875,000011: # Luminary131 file, using page
053876,000012: # images from Luminary 1A.
053877,000013: # 2011-01-06 JL Fixed pseudo-label indentation.
053878,000014:
053879,000015: # This source code has been transcribed or otherwise adapted from
053880,000016: # digitized images of a hardcopy from the MIT Museum. The digitization
053881,000017: # was performed by Paul Fjeld, and arranged for by Deborah Douglas of
053882,000018: # the Museum. Many thanks to both. The images (with suitable reduction
053883,000019: # in storage size and consequent reduction in image quality as well) are
053884,000020: # available online at www.ibiblio.org/apollo. If for some reason you
053885,000021: # find that the images are illegible, contact me at info@sandroid.org
053886,000022: # about getting access to the (much) higher-quality images which Paul
053887,000023: # actually created.
053888,000024:
053889,000025: # Notations on the hardcopy document read, in part:
053890,000026:
053891,000027: # Assemble revision 001 of AGC program LMY99 by NASA 2021112-61
053892,000028: # 16:27 JULY 14, 1969
053893,000029:
053894,000030: # Page 1268
053895,000031: # THE TFF SUBROUTINES MAY BE USED IN EITHER EARTH OR MOON CENTERED COORDINATES. THE TFF ROUTINES NEVER
053896,000032: # KNOW WHICH ORIGIN APPLIES. IT IS THE USER WHO KNOWS, AND WHO SUPPLIES RONE, VONE, AND 1/SQRT(MU) AT THE
053897,000033: # APPROPRIATE SCALE LEVEL FOR THE PROPER PRIMARY BODY.
053898,000034:
053899,000035: # EARTH ORIGIN POSITION -29 METERS
053900,000036: # VELOCITY -7 METERS/CENTISECOND
053901,000037: # 1/SQRT(MU) +17 SQRT(CS SQ/METERS CUBED)
053902,000038:
053903,000039: # MOON ORIGIN POSITION -27 METERS
053904,000040: # VELOCITY -5 METERS/CENTISECONDS
053905,000041: # 1/SQRT(MU) +14 SQRT(CS SQ/METERS CUBED)
053906,000042:
053907,000043: # ALL DATA PROVIDED TO AND RECEIVED FROM ANY TFF SUBROUTINE WILL BE AT ONE OF THE LEVELS ABOVE. IN ALL CASES,
053908,000044: # THE FREE FALL TIME IS RETURNED IN CENTISECONDS AT (-28). PROGRAM TFF/CONIC WILL GENERATE VONE/RTMU AND
053909,000045: # LEAVE IT IN VONE' AT (+10) IF EARTH ORIGIN AND (+9) IF MOON ORIGIN.
053910,000046:
053911,000047: # THE USER MUST STORE THE STATE VECTOR IN RONE, VONE, AND MU IN THE FORM 1/SQRT(MU) IN TFF/RTMU
053912,000048: # AT THE PROPER SCALE BEFORE CALLING TFF/CONIC. SINCE RONE, VONE ARE IN THE EXTENDED VERB STORAGE AREA,
053913,000049: # THE USER MUST ALSO LOCK OUT THE EXTENDED VERBS, AND RELEASE THEM WHEN FINISHED.
053914,000050:
053915,000051: # PROGRAMS CALC/TFF AND CALC/TPER ASSUME THAT THE TERMINAL RADIUS IS LESS THAN THE PRESENT
053916,000052: # RADIUS. THIS RESTRICTION CAN BE REMOVED BY A 15 W CODING CHANGE, BUT AT PRESENT IT IS NOT DEEMED NECESSARY.
053917,000053:
053918,000054: # THE FOLLOWING ERASABLE QUANTITIES ARE USED BY THE TFF ROUTINES, AND ARE LOCATED IN THE PUSH LIST.
053919,000055:
053920,000056: # BELOW E: IS USED FOR EARTH ORIGIN SCALE
053921,000057: # M: IS USED FOR MOON ORIGIN SCALE
053922,000058:
053923,000059: # TFFSW = 119D # BIT1 0 = CALCTFF 1 = CALCTPER
053924,000060: 10,2213 TFFDELQ = 10D # Q2-Q1 E: (-16) M: (-15)
053925,000061: 10,2213 RMAG1 = 12D # ABVAL(RN) M E: (-29) M: (-27)
053926,000062: # RPER = 14D # PERIGEE RADIUS M E: (-29) M: (-27)
053927,000063: 10,2213 TFFQ1 = 14D # R.V / SQRT(MUE) E: (-16) M: (-15)
053928,000064: # SDELF/2 # SIN(THETA) /2
053929,000065: 10,2213 CDELF/2 = 14D # COS(THETA) /2
053930,000066: # RAPO = 16D # APOGEE RADIUS M E: (-29) M: (-27)
053931,000067: 10,2213 NRTERM = 16D # TERMINAL RADIUS M E: (-29+NR)
053932,000068: # M: (-27+NR)
053933,000069: 10,2213 RTERM = 18D # TERMINAL RADIUS M E: (-29) M: (-27)
053934,000070: 10,2213 TFFVSQ = 20D # -(V SQUARED/MU) 1/M E: (20) M: (18)
053935,000071: 10,2213 TFF1/ALF = 22D # SEMI MAJ AXIS M E: (-22-2 NA)
053936,000072: # M: (-20-2 NA)
053937,000073: 10,2213 TFFRTALF = 24D # SQRT(ALFA) E:(10+NA) M: (9+NA)
053938,000074: 10,2213 TFFALFA = 26D # ALFA 1/M E:(26-NR) M: (24-NR)
053939,000075: 10,2213 TFFNP = 28D # SEMI LATUS RECTUM M E: (-38+2 NR)
053940,000076: # M: (-36+2 NR)
053941,000077: 10,2213 TFF/RTMU = 30D # 1/SQRT(MU) E: (17) M: (14)
053942,000078: 10,2213 NRMAG = 32D # PRESENT RADIUS M E: (-29+NR)
053943,000079: # M: (-27+NR)
053944,000080: 10,2213 TFFX = 34D
053945,000081: 10,2213 TFFTEM = 36D # TEMPORARY
053946,000082: # Page 1269
053947,000083: # REGISTERS S1, S2 ARE UNTOUCED BY ANY TFF SUBROUTINE
053948,000084: # INDEX REGISTERS X1, X2 ARE USED BY ALL TFF SUBROUTINES. THEY ARE ESTAB-
053949,000085: # LISHED IN TFF/CONIC AND MUST BE PRESERVED BETWEEN CALLS TO SUBSEQUENT
053950,000086: # SUBROUTINES.
053951,000087: # -NR C(X1) = NORM COUNT OF RMAG
053952,000088: # -NA C(X2) = NORM COUNT OF SQRT(ABS(ALFA))
053953,000089:
053954,000090: # Page 1270
053955,000091: # SUBROUTINE NAME: TFFCONIC DATE: 01.29.67
053956,000092: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
053957,000093: # MOD BY: RR BAIRNSFATHER
053958,000094: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
053959,000095: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD MOON MU.
053960,000096: # MOD NO: 3 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
053961,000097:
053962,000098: # FUNCTIONAL DESCRIPTION: THIS SUBROUTINE IS CALLED TO COMPUTE THOSE CONIC PARAMETERS REQUIRED BY THE TFF
053963,000099: # SUBROUTINES AND TO ESTABLISH THEM IN THE PUSH LIST AREA. THE PARAMETERS ARE LISTED UNDER OUTPUT.
053964,000100: # THE EQUATIONS ARE:
053965,000101: # _ __ __
053966,000102: # H = RN*VN ANGULAR MOMENTUM
053967,000103: # _ _
053968,000104: # LCP = H.H / MU SEMI LATUS RECTUM
053969,000105: # __ __
053970,000106: # ALFA = 2/RN - VN.VN / MU RECIPROCAL SEMI-MAJOR AXIS, SIGNED
053971,000107:
053972,000108: # AND ALFA IS POS FOR ELLIPTIC ORBITS
053973,000109: # 0 FOR PARABOLIC ORBITS
053974,000110: # NEG FOR HYPERBOLIC ORBITS
053975,000111: # SUBROUTINE ALSO COMPUTES AND SAVES RMAG.
053976,000112:
053977,000113: # CALLING SEQUENCE:
053978,000114: # TFFCONIC EXPECTS CALLER TO ENTER WITH CORRECT GRAVITATIONAL CONSTANT IN MPAC, IN THE FORM
053979,000115: # 1/SQRT(MU). THE PROGRAM WILL SAVE IN TFF/RTMU. THE SCALE IS DETERMINED BY WHETHER EARTH OR MOON
053980,000116: # ORIGIN IS USED. THE CALLER MUST LOCK OUT THE EXTENDED VERBS BEFORE PROVIDING STATE VECTOR IN RONE,
053981,000117: # VONE AT PROPER SCALE. THE EXTENDED VERBS MUST BE RESTORED WHEN THE CALLER IS FINISHED USING THE
053982,000118: # TFF ROUTINES.
053983,000119:
053984,000120: # ENTRY POINT TFFCONMU EXPECTS THAT TFF/RTMU IS ALREADY LOADED.
053985,000121:
053986,000122: # TO SPECIFY MU: DLOAD CALL IF MU ALREADY STORED: CALL
053987,000123: # YOURMU 1/RTMU E:(17) M:(14) TFFCONMU
053988,000124: # TFFCONIC
053989,000125: # PUSHLOC = PDL+0, ARBITRARY IF LEQ 18D
053990,000126:
053991,000127: # SUBROUTINES CALLED: NONE
053992,000128:
053993,000129: # NORMAL EXIT MODES: RVQ
053994,000130:
053995,000131: # ALARMS: NONE
053996,000132:
053997,000133: # OUTPUT: THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
053998,000134: # RMAG1 E:(-29) M:(-27) M RN, PRESENT RADIUS LENGTH.
053999,000135: # NRMAG E:(-29+NR) M RMAG, NORMALIZED
054000,000136: # M:(-27+NR)
054001,000137: # X1 -NR, NORM COUNT
054002,000138: # TFFNP E:(-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHTED BY NR. FOR VGAMCALC.
054003,000139: # M:(-36+2NR)
054004,000140: # TFF/RTMU E:(17) M:(14) 1/SQRT(MU)
054005,000141: # TFFVSQ E:(20) M:(18) 1/M -(V SQ/MU): PRESENT VELOCITY, NORMALIZED. FOR VGAMCALC
054006,000142: # TFFALFA E:(26-NR) 1/M ALFA, WEIGHTED BY NR
054007,000143: # M:(24-NR)
054008,000144: # TFFRTALF E:(10+NA) SQRT(ALFA), NORMALIZED
054009,000145: # M:(9+NA)
054010,000146: # Page 1271
054011,000147: # X2 -NA, NORMCOUNT
054012,000148: # TFF1/ALF E:(-22-2NA) SIGNED SEMI MAJ AXIS, WEIGHTED BY NA
054013,000149: # M:(-20-2NA)
054014,000150: # PUSHLOC AT PDL+0
054015,000151:
054016,000152: # THE FOLLOWING IS STORED IN GENERAL ERASABLE
054017,000153: # VONE' E:(10) M:(9) V/RT(MU), NORMALIZED VELOCITY
054018,000154:
054019,000155: # ERASABLE INITIALIZATION REQUIRED:
054020,000156: # RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY CALLER
054021,000157: # VONE E:(-7) M:(-5) M/CS STATE VECTOR LEFT BY CALLER
054022,000158: # TFF/RTMU E:(17) M:(14) 1/RT(CS SQ/M CUBE) IF ENTER VIA TFFCONMU.
054023,000159:
054024,000160: # DEBRIS: QPRET PDL+0 ... PDL+3
054025,000161:
054026,000162: 33,3777 BANK 33
054027,000163: 27,2000 SETLOC TOF-FF
054028,000164: 27,2000 BANK
054029,000165:
054030,000166: 27,3360 COUNT* $$/TFF
054031,000167:
054032,000168: 27,3360 00037 TFFCONIC STORE TFF/RTMU # 1/SQRT(MU) E:(17) M:(14)
054033,000169:
054034,000170: 27,3361 53575 TFFCONMU VLOAD UNIT # COME HERE WITH TFFRTMU LOADED.
054035,000171: 27,3362 02207 RONE # SAVED RN. M E:(-29) M:(-27)
054036,000172: 27,3363 77725 PDDL # UR/2 TO PDL+0, +5
054037,000173: 27,3364 00045 36D # MAGNITUDE
054038,000174: 27,3365 00015 STORE RMAG1 # M E:(-29) M:(-27)
054039,000175:
054040,000176: 27,3366 77701 NORM
054041,000177: 27,3367 00047 X1 # -NR
054042,000178: 27,3370 24041 STOVL NRMAG # RMAG M E:(-29+NR) M:(-27+NR)
054043,000179: 27,3371 02215 VONE # SAVED VN. M/CS E:(-7) M:(-5)
054044,000180: 27,3372 77761 VXSC
054045,000181: 27,3373 00037 TFF/RTMU # E:(17) M:(14)
054046,000182: 27,3374 02170 STORE VONE' # VN/SQRT(MU) E:(10) M:(9)
054047,000183:
054048,000184: 27,3375 47361 VXSC VXV
054049,000185: 27,3376 00041 NRMAG # E:(-29+NR) M:(-27+NR)
054050,000186: # UR/2 FROM PDL
054051,000187: 27,3377 47572 VSL1 VSQ # BEFORE: E:(-19+NR) M:(-18+NR)
054052,000188: 27,3400 14035 STODL TFFNP # LC P M E:(-38+2NR) M:(-36+2NR)
054053,000189: # SAVE ALSO FOR VGAMCALC
054054,000190: 27,3401 06512 TFF1/4
054055,000191: 27,3402 63271 DDV PDVL # (2/RMAG) 1/M E:(26-NR) M:(24-NR)
054056,000192: 27,3403 00041 NRMAG # RMAG M E:(-29+NR) M:(-27+NR)
054057,000193: 27,3404 02170 VONE' # SAVED VN. E:(10) M:(9)
054058,000194: 27,3405 57436 VSQ DCOMP # KEEP MPAC+2 HONEST FOR SQRT.
054059,000195: 27,3406 00025 STORE TFFVSQ # -(V SQ/MU) E:(20) M:(18)
054060,000196: # SAVE FOR VGAMCALC
054061,000197: 27,3407 43257 SR* DAD
054062,000198: # Page 1272
054063,000199: 27,3410 20573 0 -6,1 # GET -VSQ/MU E:(26-NR) M:(24-NR)
054064,000200: 27,3411 77626 STADR
054065,000201: # 2/RMAG FROM PDL+2
054066,000202: 27,3412 77744 STORE TFFALFA # ALFA 1/M E:(26-NR) M:(24-NR)
054067,000203: 27,3413 41457 SL* PUSH # TEMP SAVE ALFA E:(20) M:(18)
054068,000204: 27,3414 20173 0 -6,1
054069,000205: 27,3415 75446 ABS SQRT # E:(10) M:(9)
054070,000206: 27,3416 77701 NORM
054071,000207: 27,3417 00050 X2 # X2 = -NA
054072,000208: 27,3420 00031 STORE TFFRTALF # SQRT( ABS(ALFA) ) E:(10+NA) M:(9+NA)
054073,000209: 27,3421 75316 DSQ SIGN # NOT SO ACCURATE, BUT OK
054074,000210: # ALFA FROM PDL+2 E:(20) M:(18)
054075,000211: 27,3422 55254 BZE BDDV # SET 1/ALFA =0, TO SHOW SMALL ALFA
054076,000212: 27,3423 57425 +2
054077,000213: 27,3424 06512 TFF1/4
054078,000214: 27,3425 00027 +2 STORE TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
054079,000215: 27,3426 77616 DUMPCNIC RVQ
054080,000216:
054081,000217: # 39 W
054082,000218: # Page 1273
054083,000219: # SUBROUTINE NAME: TFFRP/RA DATE: 01.17.67
054084,000220: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
054085,000221: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
054086,000222: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
054087,000223: # ALSO IMPROVE ACCURACY OF RAPO.
054088,000224:
054089,000225: # FUNCTIONAL DESCRIPTION: USED BY CALCTPER AND TFF DISPLAYS TO CALCULATE PERIGEE RADIUS AND ALSO
054090,000226: # APOGEE RADIUS FOR A GENERAL CONIC.
054091,000227: # PROGRAM GIVES PERIGEE RADIUS AS APOGEE RADIUS IS GIVEN BY
054092,000228: # RP = P/(1+E) RA = (1+E) / ALFA
054093,000229: # WHERE 2
054094,000230: # E = 1 - P ALFA
054095,000231: # IF RA IS NEGATIVE OR SHOWS DIVIDE OVERFLOW, THEN RA = POSMAX BECAUSE
054096,000232: # 1. APOGEE RADIUS IS NOT MEANINGFUL FOR HYPERBOLA
054097,000233: # 2. APOGEE RADIUS IS NOT DEFINED FOR PARABOLA
054098,000234: # 3. APOGEE RADIUS EXCEEDS THE SCALING FOR ELLIPSE.
054099,000235:
054100,000236: # THIS SUBROUTINE REQUIRED THE SIGNED RECIPROCAL SEMI MAJ AXIS, ALFA, AND SEMI-LATUS RECTUM AS DATA.
054101,000237:
054102,000238: # CALLING SEQUENCE: CALL
054103,000239: # TFFRP/RA
054104,000240: # PUSHLOC = PDL+0, ARBITRARY IF LEQ 10D
054105,000241: # C(MPAC) UNSPECIFIED
054106,000242:
054107,000243: # SUBROUTINES CALLED: NONE
054108,000244:
054109,000245: # NORMAL EXIT MODE: RVQ
054110,000246: # IF ELLIPSE, WITHIN NORMAL SCALING, RAPO IS CORRECT.
054111,000247: # OTHERWISE, RAPO = POSMAX.
054112,000248:
054113,000249: # ALARMS: NONE
054114,000250:
054115,000251: # OUTPUT: STORED IN PUSH LIST AREA. SCALE OF OUTPUT AGREES WITH DATA SUPPLIED TO TFF/CONIC.
054116,000252: # RPER E:(-29) M:(-27) M PERIGEE RADIUS DESTROYED BY CALCTFF/CALCTPER, TFFTRIG.
054117,000253: # RAPO E:(-29) M:(-27) M APOGEE RADIUS WILL BE DESTROYED BY CALCTFF/CALCTPER
054118,000254: # PUSHLOC AT PDL+0
054119,000255:
054120,000256: # ERASABLE INITIALIZATION REQUIRED:
054121,000257: # TFFALFA E:(26-NR) M 1/SEMI MAJ AXIS LEFT BY TFFCONIC
054122,000258: # M:(24-NR)
054123,000259: # TFFNP E:(-38+2NR) M LC P, SEMI LATUS RECTUM LEFT BY TFFCONIC
054124,000260: # M:(-36+2NR)
054125,000261: # X1 -NR, NORM COUNT OF RMAG LEFT BY TFFCONIC
054126,000262: # X2 -NA, NORM COUNT OF ALFA LEFT BY TFFCONIC
054127,000263:
054128,000264: # DEBRIS: QPRET, PDL+0 ... PDL+1
054129,000265:
054130,000266: # Page 1274
054131,000267: 27,3427 RAPO = 16D # APOGEE RADIUS M E:(-29) M:(-27)
054132,000268: 27,3427 RPER = 14D # PERIGEE RADIUS M E:(-29) M:(-27)
054133,000269:
054134,000270: 27,3427 41345 TFFRP/RA DLOAD DMP
054135,000271: 27,3430 00033 TFFALFA # ALFA 1/M E:(26-NR) M:(24-NR)
054136,000272: 27,3431 00035 TFFNP # LC P M E:(-38+2NR) M:(-36+2NR)
054137,000273: 27,3432 57457 SR* DCOMP # ALFA P (-12+NR)
054138,000274: 27,3433 20571 0 -8D,1 # ALFA P (-4)
054139,000275: 27,3434 51415 DAD ABS # (DCOMP GIVES VALID TP RESULT FOR SQRT)
054140,000276: # (ABS PROTECTS SQRT IF E IS VERY NEAR 0)
054141,000277: 27,3435 17765 DP2(-4)
054142,000278: 27,3436 43366 SQRT DAD # E SQ = (1- P ALFA) (-4)
054143,000279: 27,3437 06512 TFF1/4
054144,000280: 27,3440 55206 PUSH BDDV # (1+E) (-2) TO PDL+0
054145,000281: 27,3441 00035 TFFNP # LCP M E:(-38+2NR) M:(-36+2NR)
054146,000282: 27,3442 53657 SR* SR* # (DOES SR THEN SL TO AVOID OVFL)
054147,000283: 27,3443 20601 0,1 # X1=-NR
054148,000284: 27,3444 20572 0 -7,1 # (EFFECTIVE SL)
054149,000285: 27,3445 14017 STODL RPER # PERIGEE RADIUS M E:(-29) M:(-27)
054150,000286: # (1+E) (-2) FROM PDL+0
054151,000287: 27,3446 41005 DMP BOVB
054152,000288: 27,3447 00027 TFF1/ALF # E:(-22-2NA) M:(-20-2NA)
054153,000289: 27,3450 57753 TCDANZIG # CLEAR OVFIND, IF ON.
054154,000290: 27,3451 53654 BZE SL*
054155,000291: 27,3452 57461 MAXRA # SET POSMAX IF ALFA=0
054156,000292: 27,3453 57603 0 -5,2 # -5+NA
054157,000293: 27,3454 40057 SL* BOV
054158,000294: 27,3455 57576 0,2
054159,000295: 27,3456 57461 MAXRA # SET POSMAX IF OVFL.
054160,000296: 27,3457 77644 BPL # CONTINUE WITH VALID RAPO.
054161,000297: 27,3460 57463 +3
054162,000298: 27,3461 77745 MAXRA DLOAD # RAPO CALC IS NOT VALID. SET RAPO =
054163,000299: 27,3462 17771 NEARONE # POSMAX AS A TAG.
054164,000300: 27,3463 00021 +3 STORE RAPO # APOGEE RADIUS M E:(-29) M:(-27)
054165,000301: 27,3464 77616 DUMPRPRA RVQ
054166,000302:
054167,000303: # 30 W
054168,000304: # Page 1275
054169,000305: # SUBROUTINE NAME: CALCTPER / CALCTFF DATE: 01.29.67
054170,000306: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
054171,000307: # MOD BY: RR BAIRNSFATHER
054172,000308: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 67
054173,000309: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 14 APR 67
054174,000310: # MOD BY: 3 MOD BY: RR BAIRNSFATHER DATE: 8 JUL 67 NEAR EARTH MUE AND NEG TFF (GONEPAST)
054175,000311: # MOD BY: 4 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD VARIABLE MU.
054176,000312: # MOD BY: 5 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
054177,000313:
054178,000314: # FUNCTIONAL DESCRIPTION: PROGRAM CALCULATES THE FREE-FALL TIME OF FLIGHT FROM PRESENT POSITION RN AND
054179,000315: # VELOCITY VN TO A RADIUS LENGTH SPECIFIED BY RTERM, SUPPLIED BY THE USER. THE POSITION VECTOR
054180,000316: # RN MAY BE ON EITHER SIDE OF THE CONIC, BUT RTERM IS CONSIDERED ON THE INBOUND SIDE.
054181,000317: # THE EQUATIONS ARE:
054182,000318:
054183,000319: # Q2 = -SQRT(RTERM (2-RTERM ALFA) - LCP) (INBOUND SIDE) LEQ +- LCE/SQRT(ALFA)
054184,000320: # __ __
054185,000321: # Q1 = RN.VN / SQRT(MU) LEQ +- LCE/SQRT(ALFA)
054186,000322:
054187,000323: # Z = NUM / DEN LEQ +- 1/SQRT(ALFA)
054188,000324:
054189,000325: # WHERE, IF INBOUND
054190,000326: # NUM = RTERM -RN LEQ +- 2 LCE/ALFA
054191,000327: # DEN = Q2+Q1 LEQ +- 2 LCE/SQRT(ALFA)
054192,000328:
054193,000329: # AND, IF OUTBOUND
054194,000330: # NUM = Q2-Q1 LEQ +- 2 LCE/SQRT(ALFA)
054195,000331: # DEN = 2 - ALFA (RTERM + RN). LEQ +- 2 LCE
054196,000332:
054197,000333: # IF ALFA ZZ < 1.0 (FOR ALL CONICS EXCEPT ELLIPSES HAVING ABS(DEL ECC ANOM) G 90 DEG)
054198,000334: # THEN X = ALFA Z Z
054199,000335: # AND TFF = (RTERM +RN -2 ZZ T(X) ) Z/SQRT(MU)
054200,000336: # EXCEPT IF ALFA PNZ, AND IF TFF NEG,
054201,000337: # THEN TFF = 2 PI /(ALFA SQRT(ALFA)) + TFF
054202,000338: # OR IF ALFA ZZ GEQ 1.0 (FOR ELLIPSES HAVING ABS(DEL ECC ANOM) GEQ 90 DEG)
054203,000339: # THEN X = 1/ALFA Z Z
054204,000340: # AND TFF = (PI/SQRT(ALFA) -Q2 +Q1 +2(X T(X) -1) /ALFA Z) /ALFA SQRT(MU)
054205,000341: # WHERE T(X) IS A POLYNOMIAL APPROXIMATION TO THE SERIES
054206,000342: # 2 3 2
054207,000343: # 1/3 - X/5 + X /7 - X /8 ... (X < 1.0)
054208,000344:
054209,000345: # CALLING SEQUENC: TIME TO RTERM TIME TO PERIGEE
054210,000346: # CALL CALL
054211,000347: # CALCTFF CALCTPER
054212,000348: # C(MPAC) = TERMNL RAD M C(MPAC) = PERIGEE RAD M
054213,000349: # FOR EITHER, E:(-29) M:(-27)
054214,000350: # FOR EITHER, PUSHLOC = PDL+0, ARBITRARY IF LEQ 8D.
054215,000351: # Page 1276
054216,000352:
054217,000353: # SUBROUTINES CALLED: T(X), VIA RTB
054218,000354:
054219,000355: # NORMAL EXIT MODE: RVQ
054220,000356: # HOWEVER, PROGRAM EXITS WITH ONE OF THE FOLLOWING VALUES FOR TFF (-28) CS IN MPAC. USER MUST STORE.
054221,000357: # A. TFF = FLIGHT TIME. NORMAL CASE FOR POSITIVE FLIGHT TIME LESS THAN ONE ORBITAL PERIOD.
054222,000358: # B. (THIS OPTION IS NO LONGER USED.)
054223,000359: # C. TFF = POSMAX. THIS INDICATES THAT THE CONIC FROM THE PRESENT POSITION WILL NOT RETURN TO
054224,000360: # THE SPECIFIED ALTITUDE. ALSO INDICATES OUTBOUND PARABOLA OR HYPERBOLA.
054225,000361:
054226,000362: # OUTPUT: C(MPAC) (-28) CS TIME OF FLIGHT, OR TIME TO PERIGEE
054227,000363: # TFFX (0) X LEFT FOR ENTRY DISPLAY TFF ROUTINES
054228,000364: # NRTERM E:(-29+NR) M RTERM, WEIGHTED BY NR LEFT FOR ENTRY DISPLAY TFF ROUTINES
054229,000365: # M:(-27+NR)
054230,000366: # TFFTEM E:(-59+2NR) LCP Z Z SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
054231,000367: # M:(-55+2NR) LCP /ALFA SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
054232,000368: # NOTE: TFFTEM = PDL 36D AND WILL BE DESTROYED BY .:UNIT:.
054233,000369: # RMAG1 E:(-29) M:(-27) PDL 12 NOT TOUCHED.
054234,000370: # TFFQ1 E:(-16) M:(-15) PDL 14D
054235,000371: # TFFDELQ E:(-16) M:(-15) PDL 10D
054236,000372: # PUSHLOC AT PDL+0
054237,000373:
054238,000374: # ERASABLE INITIALIZATION REQUIRED:
054239,000375: # RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY USER
054240,000376: # VONE' E:(+10) M:(+9) VN/SQRT(NU) LEFT BY TFF/CONIC
054241,000377: # RMAG1 E:(-29) M:(-27) PRESENT RADIUS, M LEFT BY TFFCONIC
054242,000378: # C(MPAC) E:(-29) M:(-27) RTERM, TERMINAL RADIUS LENGTH, M LEFT BY USER
054243,000379:
054244,000380: # THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
054245,000381: # TFF/RTMU E:(17) M:(14) 1/SQRT(MU) LEFT BY TFFCONIC.
054246,000382: # NRMAG E:(-29+NR) M RMAG, NORMALIZED LEFT BY TFFCONIC
054247,000383: # M:(-27+NR)
054248,000384: # X1 -NR, NORM COUNT LEFT BY TFFCONIC
054249,000385: # TFFNP E:(-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHT NR LEFT BY TFFCONIC
054250,000386: # M:(-36+2N4)
054251,000387: # TFFALFA E:(26-NR) 1/M ALFA, WEIGHT NR LEFT BY TFFCONIC
054252,000388: # M:(24-NR)
054253,000389: # TFFRTALF E:(10+NA) SQRT(ALFA), NORMALIZED LEFT BY TFFCONIC
054254,000390: # M:(9+NA)
054255,000391: # X2 -NA, NORMCOUNT LEFT BY TFFCONIC
054256,000392: # TFF1/ALF E:(-22-2NA) SIGNED SEMI-MAJOR AXIS, WEIGHTED BY NA LEFT BY TFFCONIC
054257,000393: # M:(-20-2NA)
054258,000394:
054259,000395: # DEBRIS: QPRET, PDL+0 ... PDL+3
054260,000396: # RTERM E:(-29) M(-27) RTERM, TERMINAL RADIUS LENGTH
054261,000397: # RAPO E:(-29) M(-27) PDL 16D (=NRTERM)
054262,000398: # RPER E:(-29) M(-27) PDL 14D (=TFFQ1)
054263,000399:
054264,000400: # Page 1277
054265,000401: 27,3465 77614 CALCTPER SETGO # ENTER WITH RPER IN MPAC
054266,000402: 27,3466 03436 TFFSW
054267,000403: 27,3467 57472 +3
054268,000404: 27,3470 77614 CALCTFF CLEAR # ENTER WITH RTERM IN MPAC
054269,000405: 27,3471 03676 TFFSW
054270,000406: 27,3472 00023 +3 STORE RTERM # E:(-29) M:(-27)
054271,000407: 27,3473 77657 SL*
054272,000408: 27,3474 20201 0,1 # X1=-NR
054273,000409: 27,3475 00021 STORE NRTERM # RTERM E:(-29+NR) M:(-27+NR)
054274,000410: 27,3476 44205 DMP BDSU
054275,000411: 27,3477 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
054276,000412: 27,3500 06512 TFF1/4
054277,000413: 27,3501 41206 PUSH DMP # (2-ALFA RTERM) (-3) TO PDL+0
054278,000414: 27,3502 00021 NRTERM # E:(-29+NR) M:(-27+NR)
054279,000415: 27,3503 53725 PDDL SR* # RTERM(2-ALFA RTERM) TO PDL+2
054280,000416: # E:(-32+NR) M:(-30+NR)
054281,000417: 27,3504 00035 TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
054282,000418: 27,3505 20573 0 -6,1 # X1 = -NR
054283,000419: 27,3506 43276 DCOMP DAD # DUE TO SHIFTS, KEEP PRECISION FOR SQRT
054284,000420: # RTERM(2-ALFA RTERM) FROM PDL +2
054285,000421: # E:(-32+NR) M:(-30+NR)
054286,000422: 27,3507 77657 SR* # LEAVE E:(-32) M:(-30)
054287,000423: 27,3510 20601 0,1 # X1 = -NR
054288,000424: 27,3511 71214 BOFF DLOAD # CHECK TFF /TPER SWITCH
054289,000425: 27,3512 03756 TFFSW
054290,000426: 27,3513 57515 +2 # IF TFF, CONTINUE
054291,000427: 27,3514 06522 TFFZEROS # IF TPER, SET Q2 = 0
054292,000428: 27,3515 75440 +2 BMN SQRT # E:(-16) M:(-15)
054293,000429:
054294,000430: 27,3516 57650 MAXTFF1 # NO FREE FALL CONIC TO RTERM FROM HERE
054295,000431: # RESET PDL, SET TFF=POSMAX, AND EXIT.
054296,000432:
054297,000433: 27,3517 41076 DCOMP BOVB # RT IS ON INBOUND SIDE. ASSURE OVFIND=0
054298,000434: 27,3520 57753 TCDANZIG # ANY PORT IN A STORM.
054299,000435: 27,3521 24045 STOVL TFFTEM # Q2 E:(-16) M:(-15)
054300,000436: 27,3522 02170 VONE' # VN/SQRT(MU) E:(10) M:(9)
054301,000437: 27,3523 52441 DOT SL3
054302,000438: 27,3524 02207 RONE # SAVED RN. E:(-29) M:(-27)
054303,000439: 27,3525 00017 STORE TFFQ1 # Q1, SAVE FOR GONEPAST TEST.
054304,000440: # E:(-16) M:(-15)
054305,000441: 27,3526 44240 BMN BDSU
054306,000442: 27,3527 57550 INBOUND # USE ALTERNATE Z
054307,000443: 27,3530 00045 TFFTEM # Q2 E:(-16) M:(-15)
054308,000444:
054309,000445: # OUTBOUND Z CALC CONTINUES HERE
054310,000446:
054311,000447: 27,3531 14043 STODL TFFX # NUM=Q2-Q1 E:(-16) M:(-15)
054312,000448: 27,3532 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
054313,000449: 27,3533 44205 DMP BDSU
054314,000450: # Page 1278
054315,000451: 27,3534 00041 NRMAG # RMAG E:(-29+NR) M:(-27+NR)
054316,000452: # (2-RTERM ALFA) (-3) FROM PDL+0
054317,000453: 27,3535 51406 SAVEDEN PUSH ABS # DEN TO PDL+0 E:(-3) OR (-16)
054318,000454: # M:(-3) OR (-15)
054319,000455: 27,3536 40015 DAD BOV # INDETERMINANCY TEST
054320,000456: 27,3537 17757 LIM(-22) # =1.0-B(-22)
054321,000457: 27,3540 57561 TFFXTEST # GO IF DEN >/= B(-22)
054322,000458: 27,3541 65345 DLOAD PDDL # SET DEN=0 OTHERWISE
054323,000459: 27,3542 06522 TFFZEROS
054324,000460: # XCH ZERO WITH PDL+0
054325,000461: 27,3543 57545 DLOAD DCOMP
054326,000462: 27,3544 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
054327,000463: 27,3545 71240 BMN DLOAD # FOR TPER: Z INDET AT DELE/2=0 AND 90.
054328,000464: 27,3546 57655 TFFEL1 # ASSUME 90, AND LEAVE 0 IN PDL: 1/Z=D/N
054329,000465:
054330,000466: # Z INDET. AT PERIGEE FOR PARAB OR HYPERB.
054331,000467: 27,3547 77616 DUMPTFF1 RVQ # RETURN TFF =0
054332,000468:
054333,000469: # INBOUND Z CALC CONTINUES HERE
054334,000470:
054335,000471: 27,3550 77745 INBOUND DLOAD # RESET PDL+0
054336,000472: 27,3551 45345 DLOAD DSU # ALTERNATE Z CALC
054337,000473: 27,3552 00023 RTERM # E:(-29) M:(-27)
054338,000474: 27,3553 00015 RMAG1 # E:(-29) M:(-27)
054339,000475: 27,3554 14043 STODL TFFX # NUM=RTERM-RN E:(-29) M:(-27)
054340,000476: 27,3555 00045 TFFTEM # Q2 E:(-16) M:(-15)
054341,000477: 27,3556 52015 DAD GOTO
054342,000478: 27,3557 00017 TFFQ1 # Q1 E:(-16) M:(-15)
054343,000479: 27,3560 57535 SAVEDEN # DEN = Q2+Q1 E:(-16) M:(-15)
054344,000480:
054345,000481: 27,3561 65215 TFFXTEST DAD PDDL # (ABS(DEN) TO PDL+2) E:(-3) OR (-16)
054346,000482: # M:(-3) OR (-15)
054347,000483: 27,3562 17761 DP(-22) # RESTORE ABS(DEN) TO MPAC
054348,000484: 27,3563 00043 TFFX # NUM E:(-16) OR (-29) M:(-15) OR (-27)
054349,000485: 27,3564 53605 DMP SR*
054350,000486: 27,3565 00031 TFFRTALF # SQRT(ALFA) E:(10+NA) M:(9+NA)
054351,000487: 27,3566 57201 0 -3,2 # X2=-NA
054352,000488: 27,3567 77671 DDV # C(MPAC) =NUM SQRT(ALFA) E:(-3) OR (-16)
054353,000489: # M:(-3) OR (-15)
054354,000490: # ABS(DEN) FROM PDL+2 E:(-3) OR (-16)
054355,000491: # M:(-3) OR (-15)
054356,000492: 27,3570 40145 DLOAD BOV # (THE DLOAD IS SHARED WITH TFFELL)
054357,000493: 27,3571 00043 TFFX # NUM E:(-16) OR (-29) M:(-15) OR (-27)
054358,000494: 27,3572 57653 TFFELL # USE EQN FOR DELE GEQ 90, LEQ -90
054359,000495:
054360,000496: # OTHERWISE, CONTINUE FOR GENERAL CONIC FOR TFF EQN
054361,000497:
054362,000498: 27,3573 45471 DDV STADR
054363,000499: # DEN FROM PDL+0 E:(-3) OR (-16)
054364,000500: # M:(-3) OR (-15)
054365,000501: 27,3574 77732 STORE TFFTEM # Z SAVE FOR SIGN OF SDELF.
054366,000502: # Page 1279
054367,000503: # E:(-13) M:(-12)
054368,000504: 27,3575 63406 PUSH DSQ # Z TO PDL+0
054369,000505: 27,3576 41206 PUSH DMP # Z SQ TO PDL+2 E:(-26) M:(-24)
054370,000506: 27,3577 00035 TFFNP # LC P E:(-38+2NR) M:(-36+NR)
054371,000507: 27,3600 75261 SL SIGN
054372,000508: 27,3601 20206 5
054373,000509: 27,3602 00045 TFFTEM # AFFIX SIGN FOR SDELF (ENTRY DISPLAY)
054374,000510: 27,3603 14045 STODL TFFTEM # P ZSQ E:(-59+2NR) M:(-55+2NR)
054375,000511: # (ARG IS USED IN TFF/TRIG)
054376,000512: # ZSQ FROM PDL+2 E:(-26) M:(-24)
054377,000513: 27,3604 41206 PUSH DMP # RESTORE PUSH LOC
054378,000514: 27,3605 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
054379,000515: 27,3606 77657 SL*
054380,000516: 27,3607 20201 0,1 # X1=-NR
054381,000517: 27,3610 00043 STORE TFFX # X
054382,000518: 27,3611 41234 RTB DMP
054383,000519: 27,3612 57735 T(X) # POLY
054384,000520: # ZSQ FROM PDL+2 E:(-26) M:(-24)
054385,000521: 27,3613 44302 SR2 BDSU # 2 ZSQ T(X) E:(-29) M:(-27)
054386,000522: 27,3614 00023 RTERM # RTERM E:(-29) M:(-27)
054387,000523: 27,3615 41215 DAD DMP
054388,000524: 27,3616 00015 RMAG1 # E:(-29) M:(-27)
054389,000525: # Z FROM PDL+0 E:(-13) M:(-12)
054390,000526: 27,3617 51042 SR3 BPL # TFF SQRT(MU) E:(-45) M:(-42)
054391,000527: 27,3620 57641 ENDTFF # (NO PUSH UP)
054392,000528: 27,3621 75206 PUSH SIGN # TFF SQRT(MU) TO PDL+0
054393,000529: 27,3622 00017 TFFQ1 # Q1 FOR GONEPAST TEST
054394,000530: 27,3623 71244 BPL DLOAD # GONE PAST ?
054395,000531: 27,3624 57645 NEGTFF # YES. TFF < 0.
054396,000532: 27,3625 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
054397,000533: 27,3626 51076 DCOMP BPL # ALFA > 0 ?
054398,000534: 27,3627 57645 NEGTFF # NO. TFF IS NEGATIVE.
054399,000535:
054400,000536: # CORRECT FOR ORBITAL PERIOD.
054401,000537:
054402,000538: 27,3630 77676 DCOMP # YES. CORRECT FOR ORB PERIOD.
054403,000539: 27,3631 56205 DMP DDV
054404,000540: 27,3632 17755 PI/16 # 2 PI (-5)
054405,000541: 27,3633 00031 TFFRTALF # SQRT(ALFA) E:(10+NA) M:(9+NA)
054406,000542: 27,3634 53657 SL* SL*
054407,000543: 27,3635 57602 0 -4,2 # X2=-NA
054408,000544: 27,3636 57602 0 -4,2
054409,000545: 27,3637 43257 SL* DAD
054410,000546: 27,3640 57576 0,2
054411,000547: # TFF SQRT(MU) FROM PDL+0 E:(-45) M:(-42)
054412,000548: 27,3641 40005 ENDTFF DMP BOV # TFF SQRT(MU) IN MPAC E:(-45) M:(-42)
054413,000549: 27,3642 00037 TFF/RTMU # E:(17) M:(14)
054414,000550: 27,3643 57651 MAXTFF # SET POSMAX IN OVFL.
054415,000551:
054416,000552: 27,3644 77616 DUMPTFF2 RVQ # RETURN TFF (-28) CS IN MPAC.
054417,000553:
054418,000554: # Page 1280
054419,000555: 27,3645 77745 NEGTFF DLOAD
054420,000556: # TFF SQRT(MU) FROM PDL+0, NEGATIVE.
054421,000557: 27,3646 77650 GOTO
054422,000558: 27,3647 57641 ENDTFF
054423,000559:
054424,000560: 27,3650 77745 MAXTFF1 DLOAD # RESET PDL
054425,000561: 27,3651 43545 MAXTFF DLOAD RVQ
054426,000562: 27,3652 17771 NEARONE
054427,000563:
054428,000564: # TIME OF FLIGHT ELLIPSE WHEN DEL (ECCENTRIC ANOM) GEQ 90 AND LEQ -90.
054429,000565:
054430,000566: # NUM FROM TFFX. E:(-16) OR (-29)
054431,000567: # M:(-15) OR (-27)
054432,000568: 27,3653 77712 TFFELL SL2 # NUM E:(-14) OR (-27) M:(-13) OR (-25)
054433,000569: 27,3654 41465 BDDV PUSH # TEMP SAVE D/N IN PDL+0
054434,000570: # DEN FROM PDL+0 E:(-3)/(-16) M:(-3)/(-15)
054435,000571: # N/D TO PDL+0 E:(11) M:(10)
054436,000572: 27,3655 45345 TFFEL1 DLOAD DSU # (ENTER WITH D/N=0 IN PDL+0)
054437,000573: 27,3656 00045 TFFTEM # Q2 E:(-16) M:(-15)
054438,000574: 27,3657 00017 TFFQ1 # Q1 E:(-16) M:(-15)
054439,000575: 27,3660 14013 STODL TFFDELQ # Q2-Q1 E:(-16) M:(-15)
054440,000576: # D/N FROM PDL+0
054441,000577: 27,3661 77626 STADR
054442,000578: 27,3662 77732 STORE TFFTEM # D/N E:(11) M:(10)
054443,000579: 27,3663 53605 DMP SL*
054444,000580: 27,3664 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
054445,000581: 27,3665 57576 0,2 # 1/ALFA Z E:(-11-NA) M:(-10-NA)
054446,000582: 27,3666 41206 PUSH DMP # TO PDL+0
054447,000583: 27,3667 00045 TFFTEM # 1/Z E:(11) M:(10
054448,000584: 27,3670 41057 SL* BOVB
054449,000585: 27,3671 57576 0,2 # X2= -NA
054450,000586: 27,3672 21712 SIGNMPAC # IN CASE X= 1.0, CONTINUE
054451,000587: 27,3673 00043 STORE TFFX # X=1/ALFA ZSQ
054452,000588: 27,3674 41234 RTB DMP
054453,000589: 27,3675 57735 T(X) # POLY
054454,000590: 27,3676 00043 TFFX
054455,000591: 27,3677 45242 SR3 DSU
054456,000592: 27,3700 17763 DP2(-3)
054457,000593: 27,3701 41405 DMP PUSH # 2(X T(X)-1) /Z ALFA E:(-15-NA)
054458,000594: # M:(-14-NA)
054459,000595: # 1/ALFA Z FROM PDL+0 E:(-11-NA)
054460,000596: # M:(-10-NA)
054461,000597: 27,3702 41345 DLOAD DMP # GET SIGN FOR SDELF
054462,000598: 27,3703 00045 TFFTEM # 1/Z E:(11) M:(10)
054463,000599: 27,3704 00015 RMAG1 # E:(-29) M:(-27)
054464,000600: 27,3705 43312 SL2 DAD
054465,000601: 27,3706 00017 TFFQ1 # Q1 E:(-16) M:(-15)
054466,000602: 27,3707 14045 STODL TFFTEM # (Q1+R 1/Z) =SGN OF SDELF E:(-16) M:(-15)
054467,000603: 27,3710 00035 TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
054468,000604: 27,3711 53605 DMP SL* # CALC FOR ARG FOR TFF/TRIG.
054469,000605: # Page 1281
054470,000606: 27,3712 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
054471,000607: 27,3713 57575 1,2 # X2=-NA
054472,000608: 27,3714 53765 SIGN SL*
054473,000609: 27,3715 00045 TFFTEM # AFFIX SIGN FOR SDELF
054474,000610: 27,3716 57576 0,2
054475,000611: 27,3717 14045 STODL TFFTEM # P/ALFA E:(-59+2NR) M:(-55+2NR)
054476,000612: # (ARG FOR USE IN TFF/TRIG)
054477,000613: 27,3720 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
054478,000614: 27,3721 41366 SQRT DMP
054479,000615: 27,3722 17755 PI/16 # PI (-4)
054480,000616: 27,3723 77615 DAD
054481,000617: # 2(XT(X)-1)/Z ALFA FROM PDL E:(-15-NA)
054482,000618: # M:(-14-NA)
054483,000619: 27,3724 45257 SL* DSU
054484,000620: 27,3725 57577 0 -1,2
054485,000621: 27,3726 00013 TFFDELQ # Q2-Q1 E:(-16) M:(-15)
054486,000622: 27,3727 53605 DMP SL*
054487,000623: 27,3730 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
054488,000624: 27,3731 57601 0 -3,2
054489,000625: 27,3732 52057 SL* GOTO
054490,000626: 27,3733 57602 0 -4,2
054491,000627: 27,3734 57641 ENDTFF # TFF SQRT(MU) IN MPAC E:(-45) M:(-42)
054492,000628:
054493,000629: # Page 1282
054494,000630: # PROGRAM NAME: T(X) DATE: 01.17.67
054495,000631: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
054496,000632: # MOD BY: RR BAIRNSFATHER
054497,000633:
054498,000634: # FUNCTIONAL DESCRIPTION: THE POLYNOMIAL T(X) IS USED BY TIME OF FLIGHT SUBROUTINES CALCTFF AND
054499,000635: # CALCTPER TO APPROXIMATE THE SERIES
054500,000636: # 2 3
054501,000637: # 1/3 -X/5 +X /7 -X /9 ...
054502,000638:
054503,000639: # WHERE X = ALFA Z Z IF ALFA Z Z LEQ 1
054504,000640: # X = 1/(ALFA Z Z) IF ALFA Z Z G 1
054505,000641:
054506,000642: # ALSO X IS NEG FOR HYPERBOLIC ORBITS
054507,000643: # X = 0 FOR PARABOLIC ORBITS
054508,000644: # X IS POSITIVE FOR ELLIPTIC ORBITS
054509,000645:
054510,000646: # FOR FLIGHT 278, THE POLYNOMIAL T(X) IS FITTED OVER THE RANGE (0,+1) AND HAS A MAXIMUM
054511,000647: # DEVIATION FROM THE SERIES OF 2 E-5. (T(X) IS A CHEBYCHEV TYPE FIT AND WAS OBTAINED USING
054512,000648: # MAX PROGRAM AUTOCURFIT294RRB AND IS VALID TO THE SAME TOLERANCE OVER THE RANGE (-.08,+1).)
054513,000649:
054514,000650: # CALLING SEQUENCE: RTB
054515,000651: # T(X)
054516,000652: # C(MPAC) = X
054517,000653:
054518,000654: # SUBROUTINE CALLED: NONE
054519,000655:
054520,000656: # NORMAL EXIT MODE: TC TANZIG
054521,000657:
054522,000658: # ALARMS: NONE
054523,000659:
054524,000660: # OUTPUT: C(MPAC) = T(X)
054525,000661:
054526,000662: # ERASABLE INITIALIZATION REQUIRED:
054527,000663: # C(MPAC) = X
054528,000664:
054529,000665: # DEBRIS: NONE
054530,000666:
054531,000667: 27,3735 07222 T(X) TC POLY
054532,000668: 27,3736 00004 DEC 4 B-14 # N-1
054533,000669: 27,3737 12525 12525 2DEC 3.333333333 E-1
054534,000670:
054535,000671: 27,3741 71463 57703 2DEC* -1.999819135 E-1*
054536,000672:
054537,000673: 27,3743 04423 17645 2DEC* 1.418148467 E-1*
054538,000674:
054539,000675: 27,3745 74604 43667 2DEC* -1.01310997 E-1*
054540,000676:
054541,000677: 27,3747 01626 37256 2DEC* 5.609004986 E-2*
054542,000678:
054543,000679: 27,3751 77404 52071 2DEC* -1.536156925 E-2*
054544,000680:
054545,000681: 27,3753 06061 ENDT(X) TC DANZIG
054546,000682:
054547,000683: 27,3754 27,3753 TCDANZIG = ENDT(X)
054548,000684:
054549,000685: # Page 1283
054550,000686: # TFF CONSTANTS
054551,000687:
054552,000688: 32,3773 BANK 32
054553,000689:
054554,000690: 27,2000 SETLOC TOF-FF1
054555,000691: 27,2000 BANK
054556,000692:
054557,000693: # # NOTE: ADJUSTED MUE FOR NEAR EARTH TRAJ.
054558,000694: # MUE = 3.990815471 E10 # M CUBE/CS SQ
054559,000695: # RTMUE = 1.997702549 E5 B-18* # MODIFIED EARTH MU
054560,000696:
054561,000697: # # NOTE: ADJUSTED MUE FOR NEAR EARTH TRAJ.
054562,000698: # MUM = 4.902778 E8 # M CUBE/CS SQ
054563,000699: # RTMUM 2DEC* 2.21422176 E4 B-18*
054564,000700:
054565,000701: 27,3754 06220 37553 PI/16 2DEC 3.141592653 B-4
054566,000702:
054567,000703: 27,3756 37777 37700 LIM(-22) 2OCT 3777737700 # 1.0 -B(-22)
054568,000704:
054569,000705: 27,3760 00000 00100 DP(-22) 2OCT 0000000100 # B(-22)
054570,000706:
054571,000707: 27,3762 04000 00000 DP2(-3) 2DEC 1 B-3
054572,000708:
054573,000709: 27,3764 02000 00000 DP2(-4) 2DEC 1 B-4 # 1/16
054574,000710:
054575,000711: # RPAD1 2DEC 6373338 B-29 # M (-29) = 20909901.57 FT
054576,000712:
054577,000713: 27,3766 23,2314 RPAD1 = RPAD
054578,000714:
054579,000715: 27,3766 00305 11205 R300K 2DEC 6464778 B-29 # (-29) M
054580,000716:
054581,000717: 27,3770 37777 37777 NEARONE 2DEC .999999999
054582,000718:
054583,000719: 27,3772 23,2521 TFFZEROS EQUALS HI6ZEROS
054584,000720: 27,3772 23,2511 TFF1/4 EQUALS HIDP1/4
054585,000721:
End of include-file TIME_OF_FREE_FALL.agc. Parent file is MAIN.agc