Source Code
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These source-code files are part of a reconstructed copy of Luminary 97, the
second release of the Apollo 11 Lunar Module (LM) Apollo Guidance Computer
(AGC) software. It was created to fix two incorrect ephemeris constants in
Luminary 96, as described by anomaly report LNY-59.
The reconstruction began with source code of Luminary 99 revision 1 previously
transcribed from a digitized copy of that program. The code was then updated
by undoing changes described in original Luminary memos 83 and 85, using asterisks
indicating changed lines in the listing as a guide. The reconstruction was
verified by matching memory-bank checksums to those listed in drawing 2021152D.
Note that page numbers in the reconstructed code match those on the Luminary 099
revision 001 printout, although the added code would likely have changed page
numbers for a real Luminary 97 listing.
Comments from the original source code are prefixed with a single '#' symbol,
whereas comments added later are prefixed by "##" or "###". Report any errors
noted by creating an
issue report at the Virtual AGC
project's GitHub repository.
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053382,000002: ## Copyright: Public domain.
053383,000003: ## Filename: TIME_OF_FREE_FALL.agc
053384,000004: ## Purpose: A section of Luminary revision 97.
053385,000005: ## It is part of the reconstructed source code for the
053386,000006: ## second release of the flight software for the Lunar
053387,000007: ## Module's (LM) Apollo Guidance Computer (AGC) for Apollo 11.
053388,000008: ## It was created to fix two incorrect ephemeris constants in
053389,000009: ## Luminary 96, as described by anomaly report LNY-59.
053390,000010: ## The code has been recreated from a copy of Luminary 99
053391,000011: ## revision 001, using asterisks indicating changed lines in
053392,000012: ## the listing and Luminary Memos #83 and #85, which list
053393,000013: ## changes between Luminary 97 and 98, and 98 and 99. The
053394,000014: ## code has been adapted such that the resulting bugger words
053395,000015: ## exactly match those specified for Luminary 97 in NASA drawing
053396,000016: ## 2021152D, which gives relatively high confidence that the
053397,000017: ## reconstruction is correct.
053398,000018: ## Reference: pp. 1268-1283
053399,000019: ## Assembler: yaYUL
053400,000020: ## Contact: Ron Burkey <info@sandroid.org>.
053401,000021: ## Website: www.ibiblio.org/apollo/index.html
053402,000022: ## Mod history: 2019-07-28 MAS Created from Luminary 99.
053403,000023:
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Page 1268
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053405,000025: # THE TFF SUBROUTINES MAY BE USED IN EITHER EARTH OR MOON CENTERED COORDINATES. THE TFF ROUTINES NEVER
053406,000026: # KNOW WHICH ORIGIN APPLIES. IT IS THE USER WHO KNOWS, AND WHO SUPPLIES RONE, VONE AND 1/SQRT(MU) AT THE
053407,000027: # APPROPRIATE SCALE LEVEL FOR THE PROPER PRIMARY BODY.
053408,000028:
053409,000029: # EARTH ORIGIN POSITION -29 METERS
053410,000030: # VELOCITY -7 METERS/CENTISECOND
053411,000031: # 1/SQRT(MU) +17 SQRT(CS SQ/METERS CUBED)
053412,000032:
053413,000033: # MOON ORIGIN POSITION -27 METERS
053414,000034: # VELOCITY -5 METERS/CENTISECONDS
053415,000035: # 1/SQRT(MU) +14 SQRT(CS SQ/METERS CUBED)
053416,000036:
053417,000037: # ALL DATA PROVIDED TO AND RECEIVED FROM ANY TFF SUBROUTINE WILL BE AT ONE OF THE LEVELS ABOVE. IN ALL CASES,
053418,000038: # THE FREE FALL TIME IS RETURNED IN CENTISECONDS AT (-28). PROGRAM TFF/CONIC WILL GENERATE VONE/RTMU AND
053419,000039: # LEAVE IT IN VONE' AT (+10) IF EARTH ORIGIN AND (+9) IF MOON ORIGIN.
053420,000040:
053421,000041: # THE USER MUST STORE THE STATE VECTOR IN RONE, VONE AND MU IN THE FORM 1/SQRT(MU) IN TFF/RTMU
053422,000042: # AT THE PROPER SCALE BEFORE CALLING TFF/CONIC. SINCE RONE, VONE ARE IN THE EXTENDED VERB STORAGE AREA,
053423,000043: # THE USER MUST ALSO LOCK OUT THE EXTENDED VERBS, AND RELEASE THEM WHEN FINISHED.
053424,000044:
053425,000045: # PROGRAMS CALC/TFF AND CALC/TPER ASSUME THAT THE TERMINAL RADIUS IS LESS THAN THE PRESENT
053426,000046: # RADIUS. THIS RESTRICTION CAN BE REMOVED BY A 15 W CODING CHANGE, BUT AT PRESENT IT IS NOT DEEMED NECESSARY.
053427,000047:
053428,000048: # THE FOLLOWING ERASABLE QUANTITIES ARE USED BY THE TFF ROUTINES, AND ARE LOCATED IN THE PUSH LIST.
053429,000049:
053430,000050: # BELOW E: IS USED FOR EARTH ORIGIN SCALE
053431,000051: # M: IS USED FOR MOON ORIGIN SCALE
053432,000052:
053433,000053: # TFFSW = 119D BIT1 0 = CALCTFF 1 = CALCTPER
053434,000054: 10,2213 TFFDELQ = 10D # Q2-Q1 E: (-16) M: (-15)
053435,000055: 10,2213 RMAG1 = 12D # ABVAL(RN) M E: (-29) M: (-27)
053436,000056: # RPER = 14D PERIGEE RADIUS M E: (-29) M: (-27)
053437,000057: 10,2213 TFFQ1 = 14D # R.V / SQRT(MUE) E: (-16) M: (-15)
053438,000058: # SDELF/2 SIN(THETA) /2
053439,000059: 10,2213 CDELF/2 = 14D # COS(THETA) /2
053440,000060: # RAPO = 16D APOGEE RADIUS M E: (-29) M: (-27)
053441,000061: 10,2213 NRTERM = 16D # TERMINAL RADIUS M E: (-29+NR)
053442,000062: # M: (-27+NR)
053443,000063: 10,2213 RTERM = 18D # TERMINAL RADIUS M E: (-29) M: (-27)
053444,000064: 10,2213 TFFVSQ = 20D # -(V SQUARED/MU) 1/M E: (20) M: (18)
053445,000065: 10,2213 TFF1/ALF = 22D # SEMI MAJ AXIS M E: (-22-2 NA)
053446,000066: # M: (-20-2 NA)
053447,000067: 10,2213 TFFRTALF = 24D # SQRT(ALFA) E:(10+NA) M: (9+NA)
053448,000068: 10,2213 TFFALFA = 26D # ALFA 1/M E:(26-NR) M: (24-NR)
053449,000069: 10,2213 TFFNP = 28D # SEMI LATUS RECTUM M E: (-38+2 NR)
053450,000070: # M: (-36+2 NR)
053451,000071: 10,2213 TFF/RTMU = 30D # 1/SQRT(MU) E: (17) M: (14)
053452,000072: 10,2213 NRMAG = 32D # PRESENT RADIUS M E: (-29+NR)
053453,000073: # M: (-27+NR)
053454,000074: 10,2213 TFFX = 34D
053455,000075: 10,2213 TFFTEM = 36D # TEMPORARY
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Page 1269
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053457,000077: # REGISTERS S1, S2 ARE UNTOUCHED BY ANY TFF SUBROUTINE
053458,000078: # INDEX REGISTERS X1, X2 ARE USED BY ALL TFF SUBROUTINES. THEY ARE ESTAB-
053459,000079: # LISHED IN TFF/CONIC AND MUST BE PRESERVED BETWEEN CALLS TO SUBSEQUENT
053460,000080: # SUBROUTINES.
053461,000081: # -NR C(X1) = NORM COUNT OF RMAG
053462,000082: # -NA C(X2) = NORM COUNT OF SQRT(ABS(ALFA))
053463,000083:
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Page 1270
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053465,000085: # SUBROUTINE NAME: TFFCONIC DATE: 01.29.67
053466,000086: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
053467,000087: # MOD BY: RR BAIRNSFATHER
053468,000088: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
053469,000089: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD MOON MU.
053470,000090: # MOD NO: 3 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
053471,000091:
053472,000092: # FUNCTIONAL DESCRIPTION: THIS SUBROUTINE IS CALLED TO COMPUTE THOSE CONIC PARAMETERS REQUIRED BY THE TFF
053473,000093: # SUBROUTINES AND TO ESTABLISH THEM IN THE PUSH LIST AREA. THE PARAMETERS ARE LISTED UNDER OUTPUT.
053474,000094: # THE EQUATIONS ARE
053475,000095: # - - -
053476,000096: # H = RN*VN ANGULAR MOMENTUM
053477,000097: # - -
053478,000098: # LCP = H.H / MU SEMI LATUS RECTUM
053479,000099: # - -
053480,000100: # ALFA = 2/RN - VN.VN / MU RECIPROCAL SEMI MAJ AXIS, SIGNED
053481,000101:
053482,000102: # AND ALFA IS POS FOR ELLIPTIC ORBITS
053483,000103: # 0 FOR PARABOLIC ORBITS
053484,000104: # NEG FOR HYPERBOLIC ORBITS.
053485,000105: # SUBROUTINE ALSO COMPUTES AND SAVES RMAG.
053486,000106:
053487,000107: # CALLING SEQUENCE:
053488,000108: # TFFCONIC EXPECTS CALLER TO ENTER WITH CORRECT GRAVITATIONAL CONSTANT IN MPAC, IN THE FORM
053489,000109: # 1/SQRT(MU). PROGRAM WILL SAVE IN TFF/RTMU. THE SCALE IS DETERMINED BY WHETHER EARTH OR MOON
053490,000110: # ORIGIN IS USED. THE CALLER MUST LOCK OUT THE EXTENDED VERBS BEFORE PROVIDING STATE VECTOR IN RONE,
053491,000111: # VONE AT PROPER SCALE. THE EXTENDED VERBS MUST BE RESTORED WHEN THE CALLER IS FINISHED USING THE
053492,000112: # TFF ROUTINES.
053493,000113:
053494,000114: # ENTRY POINT TFFCONMU EXPECTS THAT TFF/RTMU IS ALREADY LOADED.
053495,000115:
053496,000116: # TO SPECIFY MU: DLOAD CALL IF MU ALREADY STORED: CALL
053497,000117: # YOURMU 1/RTMU E:(17) M:(14) TFFCONMU
053498,000118: # TFFCONIC
053499,000119: # PUSHLOC = PDL+0, ARBITRARY IF LEQ 18D
053500,000120:
053501,000121: # SUBROUTINES CALLED: NONE
053502,000122:
053503,000123: # NORMAL EXIT MODES: RVQ
053504,000124:
053505,000125: # ALARMS: NONE
053506,000126:
053507,000127: # OUTPUT: THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
053508,000128: # RMAG1 E:(-29) M:(-27) M RN, PRESENT RADIUS LENGTH.
053509,000129: # NRMAG E:(-29+NR) M RMAG, NORMALIZED
053510,000130: # M:(-27+NR)
053511,000131: # X1 -NR, NORM COUNT
053512,000132: # TFFNP E:(-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHTED BY NR. FOR VGAMCALC
053513,000133: # M:(-36+2NR)
053514,000134: # TFF/RTMU E:(17) M:(14) 1/SQRT(MU)
053515,000135: # TFFVSQ E:(20) M:(18) 1/M -(V SQ/MU): PRESENT VELOCITY,NORMLIZED. FOR VGAMCALC
053516,000136: # TFFALFA E:(26-NR) 1/M ALFA, WEIGHTED BY NR
053517,000137: # M:(24-NR)
053518,000138: # TFFRTALF E:(10+NA) SQRT(ALFA), NORMALIZED
053519,000139: # M:(9+NA)
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Page 1271
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053521,000141: # X2 -NA, NORMCOUNT
053522,000142: # TFF1/ALF E:(-22-2NA) SIGNED SEMI MAJ AXIS, WEIGHTED BY NA
053523,000143: # M:(-20-2NA)
053524,000144: # PUSHLOC AT PDL+0
053525,000145:
053526,000146: # THE FOLLOWING IS STORED IN GENERAL ERASABLE
053527,000147: # VONE' E:(10) M:(9) V/RT(MU), NORMALIZED VELOCITY
053528,000148:
053529,000149: # ERASABLE INITIALIZATION REQUIRED:
053530,000150: # RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY CALLER
053531,000151: # VONE E:(-7) M:(-5) M/CS STATE VECTOR LEFT BY CALLER
053532,000152: # TFF/RTMU E:(17) M:(14) 1/RT(CS SQ/M CUBE) IF ENTER VIA TFFCONMU.
053533,000153:
053534,000154: # DEBRIS: QPRET, PDL+0 ... PDL+3
053535,000155:
053536,000156: 33,3757 BANK 33
053537,000157: 27,2000 SETLOC TOF-FF
053538,000158: 27,2000 BANK
053539,000159:
053540,000160: 27,3360 COUNT* $$/TFF
053541,000161:
053542,000162: 27,3360 00037 TFFCONIC STORE TFF/RTMU # 1/SQRT(MU) E:(17) M:(14)
053543,000163:
053544,000164: 27,3361 53575 TFFCONMU VLOAD UNIT # COME HERE WITH TFFRTMU LOADED.
053545,000165: 27,3362 02207 RONE # SAVED RN. M E:(-29) M:(-27)
053546,000166: 27,3363 77725 PDDL # UR/2 TO PDL+0, +5
053547,000167: 27,3364 00045 36D # MAGNITUDE
053548,000168: 27,3365 00015 STORE RMAG1 # M E:(-29) M:(-27)
053549,000169:
053550,000170: 27,3366 77701 NORM
053551,000171: 27,3367 00047 X1 # -NR
053552,000172: 27,3370 24041 STOVL NRMAG # RMAG M E:(-29+NR) M:(-27+NR)
053553,000173: 27,3371 02215 VONE # SAVED VN. M/CS E:(-7) M:(-5)
053554,000174: 27,3372 77761 VXSC
053555,000175: 27,3373 00037 TFF/RTMU # E:(17) M:(14)
053556,000176: 27,3374 02170 STORE VONE' # VN/SQRT(MU) E:(10) M:(9)
053557,000177:
053558,000178: 27,3375 47361 VXSC VXV
053559,000179: 27,3376 00041 NRMAG # E:(-29+NR) M:(-27+NR)
053560,000180: # UR/2 FROM PDL
053561,000181: 27,3377 47572 VSL1 VSQ # BEFORE: E:(-19+NR) M:(-18+NR)
053562,000182: 27,3400 14035 STODL TFFNP # LC P M E:(-38+2NR) M:(-36+2NR)
053563,000183: # SAVE ALSO FOR VGAMCALC
053564,000184: 27,3401 06512 TFF1/4
053565,000185: 27,3402 63271 DDV PDVL # (2/RMAG) 1/M E:(26-NR) M:(24-NR)
053566,000186: 27,3403 00041 NRMAG # RMAG M E:(-29+NR) M:(-27+NR)
053567,000187: 27,3404 02170 VONE' # SAVED VN. E:(10) M:(9)
053568,000188: 27,3405 57436 VSQ DCOMP # KEEP MPAC+2 HONEST FOR SQRT.
053569,000189: 27,3406 00025 STORE TFFVSQ # -(V SQ/MU) E:(20) M:(18)
053570,000190: # SAVE FOR VGAMCALC
053571,000191: 27,3407 43257 SR* DAD
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Page 1272
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053573,000193: 27,3410 20573 0 -6,1 # GET -VSQ/MU E:(26-NR) M:(24-NR)
053574,000194: 27,3411 77626 STADR
053575,000195: # 2/RMAG FROM PDL+2
053576,000196: 27,3412 77744 STORE TFFALFA # ALFA 1/M E:(26-NR) M:(24-NR)
053577,000197: 27,3413 41457 SL* PUSH # TEMP SAVE ALFA E:(20) M:(18)
053578,000198: 27,3414 20173 0 -6,1
053579,000199: 27,3415 75446 ABS SQRT # E:(10) M:(9)
053580,000200: 27,3416 77701 NORM
053581,000201: 27,3417 00050 X2 # X2 = -NA
053582,000202: 27,3420 00031 STORE TFFRTALF # SQRT( ABS(ALFA) ) E:(10+NA) M:(9+NA)
053583,000203: 27,3421 75316 DSQ SIGN # NOT SO ACCURATE, BUT OK
053584,000204: # ALFA FROM PDL+2 E:(20) M:(18)
053585,000205: 27,3422 55254 BZE BDDV # SET 1/ALFA =0, TO SHOW SMALL ALFA
053586,000206: 27,3423 57425 +2
053587,000207: 27,3424 06512 TFF1/4
053588,000208: 27,3425 00027 +2 STORE TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
053589,000209: 27,3426 77616 DUMPCNIC RVQ
053590,000210:
053591,000211: # 39 W
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Page 1273
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053593,000213: # SUBROUTINE NAME: TFFRP/RA DATE: 01.17.67
053594,000214: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
053595,000215: # MOD BY: RR BAIRNSFATHER
053596,000216: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 11 APR 67
053597,000217: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
053598,000218: # ALSO IMPROVE ACCURACY OF RAPO.
053599,000219:
053600,000220: # FUNCTIONAL DESCRIPTION: USED BY CALCTPER AND TFF DISPLAYS TO CALCULATE PERIGEE RADIUS AND ALSO
053601,000221: # APOGEE RADIUS FOR A GENERAL CONIC.
053602,000222: # PROGRAM GIVES PERIGEE RADIUS AS APOGEE RADIUS IS GIVEN BY
053603,000223: # RP = P/(1+E) RA = (1+E) / ALFA
053604,000224: # WHERE 2
053605,000225: # E = 1 - P ALFA
053606,000226: # IF RA IS NEGATIVE OR SHOWS DIVIDE OVERFLOW, THEN RA = POSMAX BECAUSE
053607,000227: # 1. APOGEE RADIUS IS NOT MEANINGFUL FOR HYPERBOLA
053608,000228: # 2. APOGEE RADIUS IS NOT DEFINED FOR PARABOLA
053609,000229: # 3. APOGEE RADIUS EXCEEDS THE SCALING FOR ELLIPSE.
053610,000230:
053611,000231: # THIS SUBROUTINE REQUIRES THE SIGNED RECIPROCAL SEMI MAJ AXIS, ALFA, AND SEMI LATUS RECTUM AS DATA.
053612,000232:
053613,000233: # CALLING SEQUENCE: CALL
053614,000234: # TFFRP/RA
053615,000235: # PUSHLOC = PDL+0, ARBITRARY IF LEQ 10D
053616,000236: # C(MPAC) UNSPECIFIED
053617,000237:
053618,000238: # SUBROUTINES CALLED: NONE
053619,000239:
053620,000240: # NORMAL EXIT MODE: RVQ
053621,000241: # IF ELLIPSE, WITHIN NORMAL SCALING, RAPO IS CORRECT.
053622,000242: # OTHERWISE, RAPO = POSMAX.
053623,000243:
053624,000244: # ALARMS: NONE
053625,000245:
053626,000246: # OUTPUT: STORED IN PUSH LIST AREA. SCALE OF OUTPUT AGREES WITH DATA SUPPLIED TO TFF/CONIC.
053627,000247: # RPER E:(-29) M:(-27) M PERIGEE RADIUS DESTROYED BY CALCTFF/CALCTPER, TFFTRIG.
053628,000248: # RAPO E:(-29) M:(-27) M APOGEE RADIUS WILL BE DESTROYED BY CALCTFF/CALCTPER
053629,000249: # PUSHLOC AT PDL+0
053630,000250:
053631,000251: # ERASABLE INITIALIZATION REQUIRED:
053632,000252: # TFFALFA E:(26-NR) M 1/SEMI MAJ AXIS LEFT BY TFFCONIC
053633,000253: # M:(24-NR)
053634,000254: # TFFNP E:(-38+2NR) M LC P, SEMI LATUS RECTUM LEFT BY TFFCONIC
053635,000255: # M:(-36+2NR)
053636,000256: # X1 -NR, NORM COUNT OF RMAG LEFT BY TFFCONIC
053637,000257: # X2 -NA, NORM COUNT OF ALFA LEFT BY TFFCONIC
053638,000258:
053639,000259: # DEBRIS: QPRET, PDL+0 ... PDL+1
053640,000260:
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Page 1274
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053642,000262: 27,3427 RAPO = 16D # APOGEE RADIUS M E:(-29) M:(-27)
053643,000263: 27,3427 RPER = 14D # PERIGEE RADIUS M E:(-29) M:(-27)
053644,000264:
053645,000265: 27,3427 41345 TFFRP/RA DLOAD DMP
053646,000266: 27,3430 00033 TFFALFA # ALFA 1/M E:(26-NR) M:(24-NR)
053647,000267: 27,3431 00035 TFFNP # LC P M E:(-38+2NR) M:(-36+2NR)
053648,000268: 27,3432 57457 SR* DCOMP # ALFA P (-12+NR)
053649,000269: 27,3433 20571 0 -8D,1 # ALFA P (-4)
053650,000270: 27,3434 51415 DAD ABS # (DCOMP GIVES VALID TP RESULT FOR SQRT)
053651,000271: # (ABS PROTECTS SQRT IF E IS VERY NEAR 0)
053652,000272: 27,3435 17765 DP2(-4)
053653,000273: 27,3436 43366 SQRT DAD # E SQ = (1- P ALFA) (-4)
053654,000274: 27,3437 06512 TFF1/4
053655,000275: 27,3440 55206 PUSH BDDV # (1+E) (-2) TO PDL+0
053656,000276: 27,3441 00035 TFFNP # LCP M E:(-38+2NR) M:(-36+2NR)
053657,000277: 27,3442 53657 SR* SR* # (DOES SR THEN SL TO AVOID OVFL)
053658,000278: 27,3443 20601 0,1 # X1=-NR
053659,000279: 27,3444 20572 0 -7,1 # (EFFECTIVE SL)
053660,000280: 27,3445 14017 STODL RPER # PERIGEE RADIUS M E:(-29) M:(-27)
053661,000281: # (1+E) (-2) FROM PDL+0
053662,000282: 27,3446 41005 DMP BOVB
053663,000283: 27,3447 00027 TFF1/ALF # E:(-22-2NA) M:(-20-2NA)
053664,000284: 27,3450 57753 TCDANZIG # CLEAR OVFIND, IF ON.
053665,000285: 27,3451 53654 BZE SL*
053666,000286: 27,3452 57461 MAXRA # SET POSMAX, IF ALFA=0
053667,000287: 27,3453 57603 0 -5,2 # -5+NA
053668,000288: 27,3454 40057 SL* BOV
053669,000289: 27,3455 57576 0,2
053670,000290: 27,3456 57461 MAXRA # SET POSMAX IF OVFL.
053671,000291: 27,3457 77644 BPL # CONTINUE WITH VALID RAPO.
053672,000292: 27,3460 57463 +3
053673,000293: 27,3461 77745 MAXRA DLOAD # RAPO CALC IS NOT VALID. SET RAPO =
053674,000294: 27,3462 17771 NEARONE # POSMAX AS A TAG.
053675,000295: 27,3463 00021 +3 STORE RAPO # APOGEE RADIUS M E:(-29) M:(-27)
053676,000296: 27,3464 77616 DUMPRPRA RVQ
053677,000297:
053678,000298: # 30 W
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Page 1275
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053680,000300: # SUBROUTINE NAME: CALCTPER / CALCTFF DATE: 01.29.67
053681,000301: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
053682,000302: # MOD BY: RR BAIRNSFATHER
053683,000303: # MOD NO: 1 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 67
053684,000304: # MOD NO: 2 MOD BY: RR BAIRNSFATHER DATE: 14 APR 67
053685,000305: # MOD NO: 3 MOD BY: RR BAIRNSFATHER DATE: 8 JUL 67 NEAR EARTH MUE AND NEG TFF (GONEPAST)
053686,000306: # MOD NO: 4 MOD BY: RR BAIRNSFATHER DATE: 21 NOV 67 ADD VARIABLE MU.
053687,000307: # MOD NO: 5 MOD BY: RR BAIRNSFATHER DATE: 21 MAR 68 ACCEPT DIFFERENT EARTH/MOON SCALES
053688,000308:
053689,000309: # FUNCTIONAL DESCRIPTION: PROGRAM CALCULATES THE FREE-FALL TIME OF FLIGHT FROM PRESENT POSITION RN AND
053690,000310: # VELOCITY VN TO A RADIUS LENGTH SPECIFIED BY RTERM, SUPPLIED BY THE USER. THE POSITION VECTOR
053691,000311: # RN MAY BE ON EITHER SIDE OF THE CONIC, BUT RTERM IS CONSIDERED ON THE INBOUND SIDE.
053692,000312: # THE EQUATIONS ARE
053693,000313:
053694,000314: # Q2 = -SQRT(RTERM (2-RTERM ALFA) - LCP) (INBOUND SIDE)) LEQ +- LCE/SQRT(ALFA)
053695,000315: # - -
053696,000316: # Q1 = RN.VN / SQRT(MU) LEQ +- LCE/SQRT(ALFA)
053697,000317:
053698,000318: # Z = NUM / DEN LEQ +- 1/SQRT(ALFA)
053699,000319:
053700,000320: # WHERE, IF INBOUND
053701,000321: # NUM = RTERM -RN LEQ +- 2 LCE/ALFA
053702,000322: # DEN = Q2+Q1 LEQ +- 2 LCE/SQRT(ALFA)
053703,000323:
053704,000324: # AND, IF OUTBOUND
053705,000325: # NUM = Q2-Q1 LEQ +- 2 LCE/SQRT(ALFA)
053706,000326: # DEN = 2 - ALFA (RTERM + RN). LEQ +- 2 LCE
053707,000327:
053708,000328: # IF ALFA ZZ < 1.0 (FOR ALL CONICS EXCEPT ELLIPSES HAVING ABS(DEL ECC ANOM) G 90 DEG)
053709,000329: # THEN X = ALFA Z Z
053710,000330: # AND TFF = (RTERM +RN -2 ZZ T(X) ) Z/SQRT(MU)
053711,000331: # EXCEPT IF ALFA PNZ, AND IF TFF NEG,
053712,000332: # THEN TFF = 2 PI /(ALFA SQRT(ALFA)) + TFF
053713,000333: # OR IF ALFA ZZ GEQ 1.0 (FOR ELLIPSES HAVING ABS(DEL ECC ANOM) GEQ 90 DEG)
053714,000334: # THEN X = 1/ALFA Z Z
053715,000335: # AND TFF = (PI/SQRT(ALFA) -Q2 +Q1 +2(X T(X) -1) /ALFA Z) /ALFA SQRT(MU)
053716,000336: # WHERE T(X) IS A POLYNOMIAL APPROXIMATION TO THE SERIES
053717,000337: # 2 3 2
053718,000338: # 1/3 - X/5 + X /7 - X /9 ... (X < 1.0)
053719,000339:
053720,000340: # CALLING SEQUENCE: TIME TO RTERM TIME TO PERIGEE
053721,000341: # CALL CALL
053722,000342: # CALCTFF CALCTPER
053723,000343: # C(MPAC) = TERMNL RAD M C(MPAC) = PERIGEE RAD M
053724,000344: # FOR EITHER, E:(-29) M:(-27)
053725,000345: # FOR EITHER, PUSHLOC = PDL+0, ARBITRARY IF LEQ 8D.
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|
Page 1276
|
053727,000347:
053728,000348: # SUBROUTINES CALLED: T(X), VIA RTB
053729,000349:
053730,000350: # NORMAL EXIT MODE: RVQ
053731,000351: # HOWEVER, PROGRAM EXITS WITH ONE OF THE FOLLOWING VALUES FOR TFF (-28) CS IN MPAC. USER MUST STORE.
053732,000352: # A. TFF = FLIGHT TIME. NORMAL CASE FOR POSITIVE FLIGHT TIME LESS THAN ONE ORBITAL PERIOD.
053733,000353: # B. (THIS OPTION IS NO LONGER USED.)
053734,000354: # C. TFF = POSMAX. THIS INDICATES THAT THE CONIC FROM THE PRESENT POSITION WILL NOT RETURN TO
053735,000355: # THE SPECIFIED ALTITUDE. ALSO INDICATES OUTBOUND PARABOLA OR HYPERBOLA.
053736,000356:
053737,000357: # OUTPUT: C(MPAC) (-28) CS TIME OF FLIGHT, OR TIME TO PERIGEE
053738,000358: # TFFX (0) X, LEFT FOR ENTRY DISPLAY TFF ROUTINES
053739,000359: # NRTERM E:(-29+NR) M RTERM, WEIGHTED BY NR LEFT FOR ENTRY DISPLAY TFF ROUTINES
053740,000360: # M:(-27+NR)
053741,000361: # TFFTEM E:(-59+2NR) LCP Z Z SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
053742,000362: # M:(-55+2NR) LCP /ALFA SGN(SDELF) LEFT FOR ENTRY DISPLAY TFF ROUTINES
053743,000363: # NOTE: TFFTEM = PDL 36D AND WILL BE DESTROYED BY .:UNIT:.
053744,000364: # RMAG1 E:(-29) M:(-27) PDL 12 NOT TOUCHED.
053745,000365: # TFFQ1 E:(-16) M:(-15) PDL 14D
053746,000366: # TFFDELQ E:(-16) M:(-15) PDL 10D
053747,000367: # PUSHLOC AT PDL+0
053748,000368:
053749,000369: # ERASABLE INITIALIZATION REQUIRED:
053750,000370: # RONE E:(-29) M:(-27) M STATE VECTOR LEFT BY USER
053751,000371: # VONE' E:(+10) M:(+9) VN/SQRT(MU) LEFT BY TFF/CONIC
053752,000372: # RMAG1 E:(-29) M:(-27) PRESENT RADIUS, M LEFT BY TFFCONIC
053753,000373: # C(MPAC) E:(-29) M:(-27) RTERM, TERMINAL RADIUS LENGTH, M LEFT BY USER
053754,000374:
053755,000375: # THE FOLLOWING ARE STORED IN THE PUSH LIST AREA.
053756,000376: # TFF/RTMU E:(17) M:(14) 1/SQRT(MU) LEFT BY TFFCONIC.
053757,000377: # NRMAG E:(-29+NR) M RMAG, NORMALIZED LEFT BY TFFCONIC
053758,000378: # M:(-27+NR)
053759,000379: # X1 -NR, NORM COUNT LEFT BY TFFCONIC
053760,000380: # TFFNP E:(-38+2NR) M LCP, SEMI LATUS RECTUM, WEIGHT NR LEFT BY TFFCONIC
053761,000381: # M:(-36+2NR)
053762,000382: # TFFALFA E:(26-NR) 1/M ALFA, WEIGHT NR LEFT BY TFFCONIC
053763,000383: # M:(24-NR)
053764,000384: # TFFRTALF E:(10+NA) SQRT(ALFA), NORMALIZED LEFT BY TFFCONIC
053765,000385: # M:(9+NA)
053766,000386: # X2 -NA, NORMCOUNT LEFT BY TFFCONIC
053767,000387: # TFF1/ALF E:(-22-2NA) SIGNED SEMIMAJ AXIS, WEIGHTED BY NA LEFT BY TFFCONIC
053768,000388: # M:(-20-2NA)
053769,000389:
053770,000390: # DEBRIS: QPRET, PDL+0 ... PDL+3
053771,000391: # RTERM E:(-29) M:(-27) RTERM, TERMINAL RADIUS LENGTH
053772,000392: # RAPO E:(-29) M:(-27) PDL 16D (=NRTERM)
053773,000393: # RPER E:(-29) M:(-27) PDL 14D (=TFFQ1)
053774,000394:
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|
Page 1277
|
053776,000396: 27,3465 77614 CALCTPER SETGO # ENTER WITH RPER IN MPAC
053777,000397: 27,3466 03436 TFFSW
053778,000398: 27,3467 57472 +3
053779,000399: 27,3470 77614 CALCTFF CLEAR # ENTER WITH RTERM IN MPAC
053780,000400: 27,3471 03676 TFFSW
053781,000401: 27,3472 00023 +3 STORE RTERM # E:(-29) M:(-27)
053782,000402: 27,3473 77657 SL*
053783,000403: 27,3474 20201 0,1 # X1=-NR
053784,000404: 27,3475 00021 STORE NRTERM # RTERM E:(-29+NR) M:(-27+NR)
053785,000405: 27,3476 44205 DMP BDSU
053786,000406: 27,3477 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
053787,000407: 27,3500 06512 TFF1/4
053788,000408: 27,3501 41206 PUSH DMP # (2-ALFA RTERM) (-3) TO PDL+0
053789,000409: 27,3502 00021 NRTERM # E:(-29+NR) M:(-27+NR)
053790,000410: 27,3503 53725 PDDL SR* # RTERM(2-ALFA RTERM) TO PDL+2
053791,000411: # E:(-32+NR) M:(-30+NR)
053792,000412: 27,3504 00035 TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
053793,000413: 27,3505 20573 0 -6,1 # X1 = -NR
053794,000414: 27,3506 43276 DCOMP DAD # DUE TO SHIFTS, KEEP PRECISION FOR SQRT
053795,000415: # RTERM(2-ALFA RTERM) FROM PDL +2
053796,000416: # E:(-32+NR) M:(-30+NR)
053797,000417: 27,3507 77657 SR* # LEAVE E:(-32) M:(-30)
053798,000418: 27,3510 20601 0,1 # X1 = -NR
053799,000419: 27,3511 71214 BOFF DLOAD # CHECK TFF /TPER SWITCH
053800,000420: 27,3512 03756 TFFSW
053801,000421: 27,3513 57515 +2 # IF TFF, CONTINUE
053802,000422: 27,3514 06522 TFFZEROS # IF TPER, SET Q2 = 0
053803,000423: 27,3515 75440 +2 BMN SQRT # E:(-16) M:(-15)
053804,000424:
053805,000425: 27,3516 57650 MAXTFF1 # NO FREE FALL CONIC TO RTERM FROM HERE
053806,000426: # RESET PDL, SET TFF=POSMAX, AND EXIT.
053807,000427:
053808,000428: 27,3517 41076 DCOMP BOVB # RT IS ON INBOUND SIDE. ASSURE OVFIND=0
053809,000429: 27,3520 57753 TCDANZIG # ANY PORT IN A STORM.
053810,000430: 27,3521 24045 STOVL TFFTEM # Q2 E:(-16) M:(-15)
053811,000431: 27,3522 02170 VONE' # VN/SQRT(MU) E:(10) M:(9)
053812,000432: 27,3523 52441 DOT SL3
053813,000433: 27,3524 02207 RONE # SAVED RN. E:(-29) M:(-27)
053814,000434: 27,3525 00017 STORE TFFQ1 # Q1, SAVE FOR GONEPAST TEST.
053815,000435: # E:(-16) M:(-15)
053816,000436: 27,3526 44240 BMN BDSU
053817,000437: 27,3527 57550 INBOUND # USE ALTERNATE Z
053818,000438: 27,3530 00045 TFFTEM # Q2 E:(-16) M:(-15)
053819,000439:
053820,000440: # OUTBOUND Z CALC CONTINUES HERE
053821,000441:
053822,000442: 27,3531 14043 STODL TFFX # NUM=Q2-Q1 E:(-16) M:(-15)
053823,000443: 27,3532 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
053824,000444: 27,3533 44205 DMP BDSU
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|
Page 1278
|
053826,000446: 27,3534 00041 NRMAG # RMAG E:(-29+NR) M:(-27+NR)
053827,000447: # (2-RTERM ALFA) (-3) FROM PDL+0
053828,000448: 27,3535 51406 SAVEDEN PUSH ABS # DEN TO PDL+0 E:(-3) OR (-16)
053829,000449: # M:(-3) OR (-15)
053830,000450: 27,3536 40015 DAD BOV # INDETERMINANCY TEST
053831,000451: 27,3537 17757 LIM(-22) # =1.0-B(-22)
053832,000452: 27,3540 57561 TFFXTEST # GO IF DEN >/= B(-22)
053833,000453: 27,3541 65345 DLOAD PDDL # SET DEN=0 OTHERWISE
053834,000454: 27,3542 06522 TFFZEROS
053835,000455: # XCH ZERO WITH PDL+0
053836,000456: 27,3543 57545 DLOAD DCOMP
053837,000457: 27,3544 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
053838,000458: 27,3545 71240 BMN DLOAD # FOR TPER: Z INDET AT DELE/2=0 AND 90.
053839,000459: 27,3546 57655 TFFEL1 # ASSUME 90, AND LEAVE 0 IN PDL: 1/Z=D/N
053840,000460:
053841,000461: # Z INDET. AT PERIGEE FOR PARAB OR HYPERB.
053842,000462: 27,3547 77616 DUMPTFF1 RVQ # RETURN TFF =0
053843,000463:
053844,000464: # INBOUND Z CALC CONTINUES HERE
053845,000465:
053846,000466: 27,3550 77745 INBOUND DLOAD # RESET PDL+0
053847,000467: 27,3551 45345 DLOAD DSU # ALTERNATE Z CALC
053848,000468: 27,3552 00023 RTERM # E:(-29) M:(-27)
053849,000469: 27,3553 00015 RMAG1 # E:(-29) M:(-27)
053850,000470: 27,3554 14043 STODL TFFX # NUM=RTERM-RN E:(-29) M:(-27)
053851,000471: 27,3555 00045 TFFTEM # Q2 E:(-16) M:(-15)
053852,000472: 27,3556 52015 DAD GOTO
053853,000473: 27,3557 00017 TFFQ1 # Q1 E:(-16) M:(-15)
053854,000474: 27,3560 57535 SAVEDEN # DEN = Q2+Q1 E:(-16) M:(-15)
053855,000475:
053856,000476: 27,3561 65215 TFFXTEST DAD PDDL # (ABS(DEN) TO PDL+2)) E:(-3) OR (-16)
053857,000477: # M:(-3) OR (-15)
053858,000478: 27,3562 17761 DP(-22) # RESTORE ABS(DEN) TO MPAC
053859,000479: 27,3563 00043 TFFX # NUM E:(-16) OR (-29) M:(-15) OR (-27)
053860,000480: 27,3564 53605 DMP SR*
053861,000481: 27,3565 00031 TFFRTALF # SQRT(ALFA) E:(10+NA) M:(9+NA)
053862,000482: 27,3566 57201 0 -3,2 # X2=-NA
053863,000483: 27,3567 77671 DDV # C(MPAC) =NUM SQRT(ALFA) E:(-3) OR (-16)
053864,000484: # M:(-3) OR (-15)
053865,000485: # ABS(DEN) FROM PDL+2 E:(-3) OR (-16)
053866,000486: # M:(-3) OR (-15)
053867,000487: 27,3570 40145 DLOAD BOV # (THE DLOAD IS SHARED WITH TFFELL)
053868,000488: 27,3571 00043 TFFX # NUM E:(-16) OR (-29) M:(-15) OR (-27)
053869,000489: 27,3572 57653 TFFELL # USE EQN FOR DELE GEQ 90, LEQ -90
053870,000490:
053871,000491: # OTHERWISE, CONTINUE FOR GENERAL CONIC FOR TFF EQN
053872,000492:
053873,000493: 27,3573 45471 DDV STADR
053874,000494: # DEN FROM PDL+0 E:(-3) OR (-16)
053875,000495: # M:(-3) OR (-15)
053876,000496: 27,3574 77732 STORE TFFTEM # Z SAVE FOR SIGN OF SDELF.
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Page 1279
|
053878,000498: # E:(-13) M:(-12)
053879,000499: 27,3575 63406 PUSH DSQ # Z TO PDL+0
053880,000500: 27,3576 41206 PUSH DMP # Z SQ TO PDL+2 E:(-26) M:(-24)
053881,000501: 27,3577 00035 TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
053882,000502: 27,3600 75261 SL SIGN
053883,000503: 27,3601 20206 5
053884,000504: 27,3602 00045 TFFTEM # AFFIX SIGN FOR SDELF (ENTRY DISPLAY)
053885,000505: 27,3603 14045 STODL TFFTEM # P ZSQ E:(-59+2NR) M:(-55+2NR)
053886,000506: # (ARG IS USED IN TFF/TRIG)
053887,000507: # ZSQ FROM PDL+2 E:(-26) M:(-24)
053888,000508: 27,3604 41206 PUSH DMP # RESTORE PUSH LOC
053889,000509: 27,3605 00033 TFFALFA # ALFA E:(26-NR) M:(24-NR)
053890,000510: 27,3606 77657 SL*
053891,000511: 27,3607 20201 0,1 # X1=-NR
053892,000512: 27,3610 00043 STORE TFFX # X
053893,000513: 27,3611 41234 RTB DMP
053894,000514: 27,3612 57735 T(X) # POLY
053895,000515: # ZSQ FROM PDL+2 E:(-26) M:(-24)
053896,000516: 27,3613 44302 SR2 BDSU # 2 ZSQ T(X) E:(-29) M:(-27)
053897,000517: 27,3614 00023 RTERM # RTERM E:(-29) M:(-27)
053898,000518: 27,3615 41215 DAD DMP
053899,000519: 27,3616 00015 RMAG1 # E:(-29) M:(-27)
053900,000520: # Z FROM PDL+0 E:(-13) M:(-12)
053901,000521: 27,3617 51042 SR3 BPL # TFF SQRT(MU) E:(-45) M:(-42)
053902,000522: 27,3620 57641 ENDTFF # (NO PUSH UP)
053903,000523: 27,3621 75206 PUSH SIGN # TFF SQRT(MU) TO PDL+0
053904,000524: 27,3622 00017 TFFQ1 # Q1 FOR GONEPAST TEST
053905,000525: 27,3623 71244 BPL DLOAD # GONE PAST ?
053906,000526: 27,3624 57645 NEGTFF # YES. TFF < 0.
053907,000527: 27,3625 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
053908,000528: 27,3626 51076 DCOMP BPL # ALFA > 0 ?
053909,000529: 27,3627 57645 NEGTFF # NO. TFF IS NEGATIVE.
053910,000530:
053911,000531: # CORRECT FOR ORBITAL PERIOD.
053912,000532:
053913,000533: 27,3630 77676 DCOMP # YES. CORRECT FOR ORB PERIOD.
053914,000534: 27,3631 56205 DMP DDV
053915,000535: 27,3632 17755 PI/16 # 2 PI (-5)
053916,000536: 27,3633 00031 TFFRTALF # SQRT(ALFA) E:(10+NA) M:(9+NA)
053917,000537: 27,3634 53657 SL* SL*
053918,000538: 27,3635 57602 0 -4,2 # X2=-NA
053919,000539: 27,3636 57602 0 -4,2
053920,000540: 27,3637 43257 SL* DAD
053921,000541: 27,3640 57576 0,2
053922,000542: # TFF SQRT(MU) FROM PDL+0 E:(-45) M:(-42)
053923,000543: 27,3641 40005 ENDTFF DMP BOV # TFF SQRT(MU) IN MPAC E:(-45) M:(-42)
053924,000544: 27,3642 00037 TFF/RTMU # E:(17) M:(14)
053925,000545: 27,3643 57651 MAXTFF # SET POSMAX IF OVFL.
053926,000546:
053927,000547: 27,3644 77616 DUMPTFF2 RVQ # RETURN TFF (-28) CS IN MPAC.
053928,000548:
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|
Page 1280
|
053930,000550: 27,3645 77745 NEGTFF DLOAD
053931,000551: # TFF SQRT(MU) FROM PDL+0, NEGATIVE.
053932,000552: 27,3646 77650 GOTO
053933,000553: 27,3647 57641 ENDTFF
053934,000554:
053935,000555: 27,3650 77745 MAXTFF1 DLOAD # RESET PDL
053936,000556: 27,3651 43545 MAXTFF DLOAD RVQ
053937,000557: 27,3652 17771 NEARONE
053938,000558:
053939,000559: # TIME OF FLIGHT ELLIPSE WHEN DEL (ECCENTRIC ANOM) GEQ 90 AND LEQ -90.
053940,000560:
053941,000561: # NUM FROM TFFX. E:(-16) OR (-29)
053942,000562: # M:(-15) OR (-27)
053943,000563: 27,3653 77712 TFFELL SL2 # NUM E:(-14) OR (-27) M:(-13) OR (-25)
053944,000564: 27,3654 41465 BDDV PUSH # TEMP SAVE D/N IN PDL+0
053945,000565: # DEN FROM PDL+0 E:(-3)/( 16) M:(-3)/(-15)
053946,000566: # N/D TO PDL+0 E:(11) M:(10)
053947,000567: 27,3655 45345 TFFEL1 DLOAD DSU # (ENTER WITH D/N=0 IN PDL+0)
053948,000568: 27,3656 00045 TFFTEM # Q2 E:(-16) M:(-15)
053949,000569: 27,3657 00017 TFFQ1 # Q1 E:(-16) M:(-15)
053950,000570: 27,3660 14013 STODL TFFDELQ # Q2-Q1 E:(-16) M:(-15)
053951,000571: # D/N FROM PDL+0
053952,000572: 27,3661 77626 STADR
053953,000573: 27,3662 77732 STORE TFFTEM # D/N E:(11) M:(10)
053954,000574: 27,3663 53605 DMP SL*
053955,000575: 27,3664 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
053956,000576: 27,3665 57576 0,2 # 1/ALFA Z E:(-11-NA) M:(-10-NA)
053957,000577: 27,3666 41206 PUSH DMP # TO PDL+0
053958,000578: 27,3667 00045 TFFTEM # 1/Z E:(11) M:(10)
053959,000579: 27,3670 41057 SL* BOVB
053960,000580: 27,3671 57576 0,2 # X2= -NA
053961,000581: 27,3672 21712 SIGNMPAC # IN CASE X= 1.0, CONTINUE
053962,000582: 27,3673 00043 STORE TFFX # X=1/ALFA ZSQ
053963,000583: 27,3674 41234 RTB DMP
053964,000584: 27,3675 57735 T(X) # POLY
053965,000585: 27,3676 00043 TFFX
053966,000586: 27,3677 45242 SR3 DSU
053967,000587: 27,3700 17763 DP2(-3)
053968,000588: 27,3701 41405 DMP PUSH # 2(X T(X)-1) /Z ALFA E:(-15-NA)
053969,000589: # M:(-14-NA)
053970,000590: # 1/ALFA Z FROM PDL+0 E:(-11-NA)
053971,000591: # M:(-10-NA)
053972,000592: 27,3702 41345 DLOAD DMP # GET SIGN FOR SDELF
053973,000593: 27,3703 00045 TFFTEM # 1/Z E:(11) M:(10)
053974,000594: 27,3704 00015 RMAG1 # E:(-29) M:(-27)
053975,000595: 27,3705 43312 SL2 DAD
053976,000596: 27,3706 00017 TFFQ1 # Q1 E:(-16) M:(-15)
053977,000597: 27,3707 14045 STODL TFFTEM # (Q1+R 1/Z) =SGN OF SDELF E:(-16) M:(-15
053978,000598: 27,3710 00035 TFFNP # LC P E:(-38+2NR) M:(-36+2NR)
053979,000599: 27,3711 53605 DMP SL* # CALC FOR ARG FOR TFF/TRIG.
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|
Page 1281
|
053981,000601: 27,3712 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
053982,000602: 27,3713 57575 1,2 # X2=-NA
053983,000603: 27,3714 53765 SIGN SL*
053984,000604: 27,3715 00045 TFFTEM # AFFIX SIGN FOR SDELF
053985,000605: 27,3716 57576 0,2
053986,000606: 27,3717 14045 STODL TFFTEM # P/ALFA E:(-59+2NR) M:(-55+2NR)
053987,000607: # (ARG FOR USE IN TFF/TRIG)
053988,000608: 27,3720 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
053989,000609: 27,3721 41366 SQRT DMP
053990,000610: 27,3722 17755 PI/16 # PI (-4)
053991,000611: 27,3723 77615 DAD
053992,000612: # 2(XT(X)-1)/Z ALFA FROM PDL E:(-15-NA)
053993,000613: # M:(-14-NA)
053994,000614: 27,3724 45257 SL* DSU
053995,000615: 27,3725 57577 0 -1,2
053996,000616: 27,3726 00013 TFFDELQ # Q2-Q1 E:(-16) M:(-15)
053997,000617: 27,3727 53605 DMP SL*
053998,000618: 27,3730 00027 TFF1/ALF # 1/ALFA E:(-22-2NA) M:(-20-2NA)
053999,000619: 27,3731 57601 0 -3,2
054000,000620: 27,3732 52057 SL* GOTO
054001,000621: 27,3733 57602 0 -4,2
054002,000622: 27,3734 57641 ENDTFF # TFF SQRT(MU) IN MPAC E:(-45) M:(-42)
054003,000623:
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Page 1282
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054005,000625: # PROGRAM NAME: T(X) DATE: 01.17.67
054006,000626: # MOD NO: 0 LOG SECTION: TIME OF FREE FALL
054007,000627: # MOD BY: RR BAIRNSFATHER
054008,000628:
054009,000629: # FUNCTIONAL DESCRIPTION: THE POLYNOMIAL T(X) IS USED BY TIME OF FLIGHT SUBROUTINES CALCTFF AND
054010,000630: # CALCTPER TO APPROXIMATE THE SERIES
054011,000631: # 2 3
054012,000632: # 1/3 -X/5 +X /7 -X /9 ...
054013,000633:
054014,000634: # WHERE X = ALFA Z Z IF ALFA Z Z LEQ 1
054015,000635: # X = 1/(ALFA Z Z) IF ALFA Z Z G 1
054016,000636:
054017,000637: # ALSO X IS NEG FOR HYPERBOLIC ORBITS
054018,000638: # X = 0 FOR PARABOLIC ORBITS
054019,000639: # X IS POSITIVE FOR ELLIPTIC ORBITS
054020,000640:
054021,000641: # FOR FLIGHT 278, THE POLYNOMIAL T(X) IS FITTED OVER THE RANGE (0,+1) AND HAS A MAXIMUM
054022,000642: # DEVIATION FROM THE SERIES OF 2 E-5 (T(X) IS A CHEBYCHEV TYPE FIT AND WAS OBTAINED USING
054023,000643: # MAC PROGRAM AUTCURFIT294RRB AND IS VALID TO THE SAME TOLERANCE OVER THE RANGE (-.08,+1).)
054024,000644:
054025,000645: # CALLING SEQUENCE: RTB
054026,000646: # T(X)
054027,000647: # C(MPAC) = X
054028,000648:
054029,000649: # SUBROUTINES CALLED: NONE
054030,000650:
054031,000651: # NORMAL EXIT MODE: TC DANZIG
054032,000652:
054033,000653: # ALARMS: NONE
054034,000654:
054035,000655: # OUTPUT: C(MPAC) = T(X)
054036,000656:
054037,000657: # ERASABLE INITIALIZATION REQUIRED:
054038,000658: # C(MPAC) = X
054039,000659:
054040,000660: # DEBRIS: NONE
054041,000661:
054042,000662: 27,3735 07222 T(X) TC POLY
054043,000663: 27,3736 00004 DEC 4 B-14 # N-1
054044,000664: 27,3737 12525 12525 2DEC 3.333333333 E-1
054045,000665:
054046,000666: 27,3741 71463 57703 2DEC* -1.999819135 E-1*
054047,000667:
054048,000668: 27,3743 04423 17645 2DEC* 1.418148467 E-1*
054049,000669:
054050,000670: 27,3745 74604 43667 2DEC* -1.01310997 E-1*
054051,000671:
054052,000672: 27,3747 01626 37256 2DEC* 5.609004986 E-2*
054053,000673:
054054,000674: 27,3751 77404 52071 2DEC* -1.536156925 E-2*
054055,000675:
054056,000676: 27,3753 06061 ENDT(X) TC DANZIG
054057,000677:
054058,000678: 27,3754 27,3753 TCDANZIG = ENDT(X)
054059,000679:
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Page 1283
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054061,000681: # TFF CONSTANTS
054062,000682:
054063,000683: 32,3773 BANK 32
054064,000684:
054065,000685: 27,2000 SETLOC TOF-FF1
054066,000686: 27,2000 BANK
054067,000687:
054068,000688: # NOTE _ NOTE _ ADJUSTED MUE FOR NEAR EARTH TRAJ.
054069,000689: # MUE = 3.990815471 E10 M CUBE/CS SQ
054070,000690: # RTMUE = 1.997702549 E5 B-18* MODIFIED EARTH MU
054071,000691:
054072,000692: # NOTE _ NOTE _ ADJUSTED MUE FOR NEAR EARTH TRAJ.
054073,000693: # MUM = 4.902778 E8 M CUBE/CS SQ
054074,000694: # RTMUM 2DEC* 2.21422176 E4 B-18*
054075,000695:
054076,000696: 27,3754 06220 37553 PI/16 2DEC 3.141592653 B-4
054077,000697:
054078,000698: 27,3756 37777 37700 LIM(-22) 2OCT 3777737700 # 1.0 -B(-22)
054079,000699:
054080,000700: 27,3760 00000 00100 DP(-22) 2OCT 0000000100 # B(-22)
054081,000701:
054082,000702: 27,3762 04000 00000 DP2(-3) 2DEC 1 B-3
054083,000703:
054084,000704: 27,3764 02000 00000 DP2(-4) 2DEC 1 B-4 # 1/16
054085,000705:
054086,000706: # RPAD1 2DEC 6373338 B-29 M (-29) = 20909901.57 FT
054087,000707:
054088,000708: 27,3766 23,2314 RPAD1 = RPAD
054089,000709:
054090,000710: 27,3766 00305 11205 R300K 2DEC 6464778 B-29 # (-29) M
054091,000711:
054092,000712: 27,3770 37777 37777 NEARONE 2DEC .999999999
054093,000713:
054094,000714: 27,3772 23,2521 TFFZEROS EQUALS HI6ZEROS
054095,000715: 27,3772 23,2511 TFF1/4 EQUALS HIDP1/4
054096,000716:
End of include-file TIME_OF_FREE_FALL.agc. Parent file is MAIN.agc