Source Code
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This is an attempt to recreate Luminary 99 Rev 2, otherwise known as LUM99R2, from Luminary 99 Rev 1 and ephemeris data from Luminary 116. The differences are confined to the last 10-12 lines of the CONTROLLED CONSTANTS. Luminary 99 Rev 1 source-code was transcribed from a printout in the MIT Museum, while Luminary 116 source code was transcribed from a printout belonging to Don Eyles. AGC developer James Kernan, the "rope mother" for the Apollo 11 Lunar Module's AGC, explains as follows: "At the last minute, Dan Lickly, our chief engineer, appeared with ephemerides updates and it took two tries to get it right. The result was that we created Lum99 Revision 1 and Lum99 Revision 2." It is suspected that the former is what's in the MIT Museum, and the latter is what we are trying to recreate here. As for which revision actually flew in Apollo 11, all of the other available surviving evidence points to Rev 1 rather than to Rev 2, so we're just not sure! |
062371,000002: ## Copyright: Public domain.
062372,000003: ## Filename: TRIM_GIMBAL_CNTROL_SYSTEM.agc
062373,000004: ## Purpose: Part of the source code for Luminary 1A build 099.
062374,000005: ## It is part of the source code for the Lunar Module's (LM)
062375,000006: ## Apollo Guidance Computer (AGC), for Apollo 11.
062376,000007: ## Assembler: yaYUL
062377,000008: ## Contact: Ron Burkey <info@sandroid.org>.
062378,000009: ## Website: www.ibiblio.org/apollo.
062379,000010: ## Pages: 1472-1485
062380,000011: ## Mod history: 2009-05-27 RSB Adapted from the corresponding
062381,000012: ## Luminary131 file, using page
062382,000013: ## images from Luminary 1A.
062383,000014: ## 2011-01-06 JL Fixed pseudo-label indentation.
062384,000015: ## 2016-12-18 RSB Proofed text comments with octopus/ProoferComments
062385,000016: ## and corrected the errors found.
062386,000017: ## 2017-03-03 RSB Snapshot of Luminary 99 Rev 1.
062387,000018: ## 2017-03-14 RSB Comment-text fixes noted in proofing Luminary 116.
062388,000019:
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Page 1472 |
062390,000021: 21,3077 BANK 21
062391,000022: 21,3077 E6,1450 EBANK= QDIFF
062392,000023: 21,2000 SETLOC DAPS4
062393,000024: 21,2000 BANK
062394,000025:
062395,000026: 21,3077 COUNT* $$/DAPGT
062396,000027:
062397,000028: # CONTROL REACHES THIS POINT UNDER EITHER OF THE FOLLOWING TWO CONDITIONS ONCE THE DESCENT ENGINE AND THE DIGITAL
062398,000029: # AUTOPILOT ARE BOTH ON:
062399,000030: # A) THE TRIM GIMBAL CONTROL LAW WAS ON DURING THE PREVIOUS Q,R-AXIS TIME5 INTERRUPT (OR THE DAPIDLER
062400,000031: # INITIALIZATION WAS SET FOR TRIM GIMBAL CONTROL AND THIS IS THE FIRST PASS), OR
062401,000032: # B) THE Q,R-AXES RCS AUTOPILOT DETERMINED THAT THE VEHICLE WAS ENTERING (OR HAD JUST ENTERED) A COAST
062402,000033: # ZONE WITH A SMALL OFFSET ANGULAR ACCELERATION.
062403,000034: # GTS IS THE ENTRY TO THE GIMBAL TRIM SYSTEM FOR CONTROLLING ATTITUDE ERRORS AND RATES AS WELL AS ACCELERATIONS.
062404,000035:
062405,000036: 21,3077 37747 GTS CAF NEGONE # MAKE THE NEXT PASS THROUGH THE DAP BE
062406,000037: 21,3100 55631 TS COTROLER # THROUGH RCS CONTROL,
062407,000038: 21,3101 34751 CAF FOUR # AND ENSURE THAT IT IS NOT A SKIP.
062408,000039: 21,3102 55535 TS SKIPU
062409,000040: 21,3103 55536 TS SKIPV
062410,000041:
062411,000042: 21,3104 34752 CAF TWO
062412,000043: 21,3105 55633 TS INGTS # SET INDICATOR OF GTS CONTROL POSITIVE.
062413,000044: 21,3106 55632 TS QGIMTIMR # SET TIMERS TO 200 MSEC TO AVOID BOTH
062414,000045: 21,3107 55634 TS RGIMTIMR # RUNAWAY AND INTERFERENCE BY NULLING.
062415,000046:
062416,000047: # THE DRIVE SETTING ALGORITHM
062417,000048:
062418,000049: # DEL = SGN(OMEGA + ALPHA*ABS(ALPHA)/(2*K))
062419,000050: # 2 1/2 2 3/2
062420,000051: # NEGUSUM = ERROR*K + ALPHA*(DEL*OMEGA + ALPHA /(3*K)) + DEL*K (DEL*OMEGA + ALPHA /(2*K))
062421,000052:
062422,000053: # DRIVE = -SGN(NEGUSUM)
062423,000054:
062424,000055: 21,3110 30021 CA SR # SAVE THE SR. SHIFT IT LEFT TO CORRECT
062425,000056: 21,3111 60000 AD A # FOR THE RIGHT SHIFT DUE TO EDITING.
062426,000057: 21,3112 55505 TS SAVESR
062427,000058:
062428,000059: 21,3113 34752 GTSGO+DN CAF TWO # SET INDEXER FOR R-AXIS CALCULATIONS.
062429,000060: 21,3114 13116 TCF GOQTRIMG +1
062430,000061:
062431,000062: 21,3115 34755 GOQTRIMG CAF ZERO # SET INDEXER FOR Q-AXIS CALCULATIONS
062432,000063: 21,3116 55750 TS QRCNTR
062433,000064:
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RSB 2016 — Everything between this line and the corresponding line below was missing in the Luminary 099 print-out from the MIT Museum (from which the remainder of the source-code was transcribed), presumably due to some problem with the printer. It has been filled in from snapshots of page 1472 and 1473 of a different Luminary 99 print-out, thoughtfully made for us by Don Eyles. |
062440,000071: 21,3117 51750 INDEX QRCNTR # AOS SCALED AT PI/2
062441,000072: 21,3120 31537 CA AOSQ
062442,000073: 21,3121 00006 EXTEND
062443,000074: 21,3122 74752 MP BIT2 # RESCALE AOS TO PI/4
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Page 1473 |
062445,000076: 21,3123 00006 EXTEND
062446,000077: 21,3124 13130 BZF GTSQAXIS -3 # USE FULL SCALE FOR LARGER AOS ESTIMATES.
062447,000078:
062448,000079: 21,3125 50000 INDEX A
062449,000080: 21,3126 44734 CS LIMITS # LIMITS +1 CONTAINS NEGMAX.
062450,000081: 21,3127 56001 XCH L # LIMITS -1 CONTAINS POSMAX.
062451,000082:
062452,000083: 21,3130 11750 CCS QRCNTR # PICK UP RATE FOR THIS AXIS. RATE CELLS
062453,000084: 21,3131 50000 INDEX A # ARE ADJACENT, NOT SEPARATED. AT PI/4
062454,000085: 21,3132 31436 CA EDOTQ
062455,000086: 21,3133 53744 GTSQAXIS DXCH WCENTRAL
062456,000087:
062457,000088: 21,3134 51750 INDEX QRCNTR # COLLECT K FOR THIS AXIS
062458,000089: 21,3135 31504 CA KQ
062459,000090: 21,3136 55741 TS KCENTRAL
062460,000091:
062461,000092: 21,3137 00006 EXTEND # CONTROL AUTHORITY ZERO. AVOID DRIVING
062462,000093: 21,3140 13576 BZF POSDRIVE +1 # ENGINE BELL TO THE STOPS.
062463,000094:
062464,000095: 21,3141 51750 INDEX QRCNTR # QDIFF, RDIFF ARE STORED IN D.P.
062465,000096: 21,3142 31450 CAE QDIFF
062466,000097:
062467,000098: 21,3143 00006 ALGORTHM EXTEND # Q(R)DIFF IS THETA (ERROR) SCALED AT PI.
062468,000099: 21,3144 71741 MP KCENTRAL # FORM K*ERROR AT PI(2)/2(8), IN D.P.
062469,000100: 21,3145 23737 LXCH K2THETA
062470,000101: 21,3146 00006 EXTEND
062471,000102: 21,3147 74747 MP BIT5 # RESCALE TO 4*PI(2)
062472,000103: 21,3150 53740 DXCH K2THETA
062473,000104: 21,3151 00006 EXTEND
062474,000105: 21,3152 74747 MP BIT5 # FIRST TERM OF NEGUSUM IN K2THETA.
062475,000106: 21,3153 27740 ADS K2THETA +1 # NO CARRY NEEDED D.P. AT 4*PI(2)
062476,000107:
062477,000108: 21,3154 41744 CS ACENTRAL # FORM ALPHA(2)/(2*K) AT 16*PI, IN D.P.,
062478,000109: 21,3155 00006 EXTEND # LIMITING QUOTIENT TO AVOID OVERFLOW.
062479,000110: 21,3156 74736 MP BIT14 # -ALPHA/2 IN A, SCALED AT PI/4
062480,000111: 21,3157 00006 EXTEND
062481,000112: 21,3160 71744 MP ACENTRAL # -ALPHA(2)/2 IN A,L, SCALED AT PI(2)/16
062482,000113: 21,3161 61741 AD KCENTRAL
062483,000114: 21,3162 00006 EXTEND
062484,000115: 21,3163 63200 BZMF HUGEQUOT # K-ALPHA(2)/2 SHOULD BE PNZ FO DIVISION
062485,000116:
062486,000117: 21,3164 00006 EXTEND
062487,000118: 21,3165 40001 DCS A # ALPHA(2)/2 - K
062488,000119: 21,3166 61741 AD KCENTRAL
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RSB 2016 — End of material from Don Eyles's printout. The non-blank portion of page 1473 continues below: |
062491,000122: 21,3167 00006 EXTEND
062492,000123: 21,3170 11741 DV KCENTRAL # HIGH ORDER OF QUOTIENT.
062493,000124: 21,3171 57746 XCH A2CNTRAL
062494,000125: 21,3172 30001 CA L # SHIFT UP THE REMAINDER.
062495,000126: 21,3173 22007 LXCH 7 # ZERO LOW-ORDER DIVIDEND.
062496,000127: 21,3174 00006 EXTEND
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Page 1474 |
062498,000129: 21,3175 11741 DV KCENTRAL
062499,000130: 21,3176 57747 XCH A2CNTRAL +1 # QUOTIENT STORED AT 16*PI, D.P.
062500,000131: 21,3177 13203 TCF HAVEQUOT
062501,000132:
062502,000133: 21,3200 34733 HUGEQUOT CA POSMAX
062503,000134: 21,3201 54001 TS L
062504,000135: 21,3202 53747 DXCH A2CNTRAL # LIMITED QUOTIENT STORED AT 16*PI, D.P.
062505,000136:
062506,000137: 21,3203 31743 HAVEQUOT CA WCENTRAL
062507,000138: 21,3204 00006 EXTEND
062508,000139: 21,3205 74743 MP BIT9 # RESCALE OMEGA AT 16*PI IN D.P.
062509,000140: 21,3206 53743 DXCH K2CNTRAL # LOWER WORD OVERLAYS OMEGA IN WCENTRAL
062510,000141:
062511,000142: 21,3207 00006 EXTEND
062512,000143: 21,3210 31743 DCA K2CNTRAL
062513,000144: 21,3211 53752 DXCH FUNCTION
062514,000145:
062515,000146: 21,3212 31744 CA ACENTRAL # GET ALPHA*ABS(ALPHA)/(2*K)
062516,000147: 21,3213 00006 EXTEND
062517,000148: 21,3214 63220 BZMF +4
062518,000149:
062519,000150: 21,3215 00006 EXTEND
062520,000151: 21,3216 31747 DCA A2CNTRAL
062521,000152: 21,3217 13222 TCF +3
062522,000153:
062523,000154: 21,3220 00006 EXTEND
062524,000155: 21,3221 41747 DCS A2CNTRAL
062525,000156:
062526,000157: 21,3222 21752 DAS FUNCTION # OMEGA + ALPHA*ABS(ALPHA)/2*K) AT 16*PI
062527,000158:
062528,000159: 21,3223 11751 CCS FUNCTION # DEL = +1 FOR FUNCT1 GREATER THAN ZERO.
062529,000160: 21,3224 13230 TCF POSFNCT1 # OTHERWISE DEL = -1
062530,000161: 21,3225 13227 TCF +2
062531,000162: 21,3226 13232 TCF NEGFNCT1
062532,000163:
062533,000164: 21,3227 11752 CCS FUNCTION +1 # USE LOW ORDER WORD SINCE HIGH IS ZERO
062534,000165: 21,3230 34753 POSFNCT1 CAF BIT1
062535,000166: 21,3231 13233 TCF +2
062536,000167: 21,3232 44753 NEGFNCT1 CS BIT1
062537,000168: 21,3233 55745 TS DEL
062538,000169:
062539,000170: 21,3234 11745 CCS DEL # REPLACE OMEGA BY DEL*OMEGA
062540,000171: 21,3235 13247 TCF FUNCT2 # POSITIVE DEL VALUE. PROCEED.
062541,000172: 21,3236 13240 TCF DEFUNCT
062542,000173: 21,3237 13244 TCF NEGFNCT2
062543,000174:
062544,000175: 21,3240 55742 DEFUNCT TS K2CNTRAL
062545,000176: 21,3241 55743 TS K2CNTRAL +1
062546,000177: 21,3242 13247 TCF FUNCT2
062547,000178:
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Page 1475 |
062549,000180: 21,3243 65252 NEG1/3 DEC -.33333
062550,000181:
062551,000182: 21,3244 00006 NEGFNCT2 EXTEND
062552,000183: 21,3245 41743 DCS K2CNTRAL
062553,000184: 21,3246 53743 DXCH K2CNTRAL
062554,000185:
062555,000186: 21,3247 00006 FUNCT2 EXTEND
062556,000187: 21,3250 31747 DCA A2CNTRAL
062557,000188: 21,3251 21743 DAS K2CNTRAL # DEL*OMEGA + ALPHA(2)/(2*K) AT 16*PI, D.P.
062558,000189:
062559,000190: 21,3252 31746 FUNCT3 CA A2CNTRAL
062560,000191: 21,3253 00006 EXTEND
062561,000192: 21,3254 73243 MP NEG1/3
062562,000193: 21,3255 53747 DXCH A2CNTRAL
062563,000194: 21,3256 30001 CA L
062564,000195: 21,3257 00006 EXTEND
062565,000196: 21,3260 73243 MP NEG1/3
062566,000197: 21,3261 27747 ADS A2CNTRAL +1
062567,000198: 21,3262 54001 TS L
062568,000199: 21,3263 13265 TCF +2 # A2CNTRAL NOW CONTAINS -ALPHA(2)/(6*K),
062569,000200: 21,3264 27746 ADS A2CNTRAL # SCALED AT 16*PI, IN D.P.
062570,000201:
062571,000202: 21,3265 00006 EXTEND
062572,000203: 21,3266 31743 DCA K2CNTRAL # DEL*OMEGA + ALPHA(2)/(3*K) IN A2CNTRAL,
062573,000204: 21,3267 21747 DAS A2CNTRAL # SCALED AT 16*PI, D.P.
062574,000205:
062575,000206: 21,3270 31746 CA A2CNTRAL
062576,000207: 21,3271 00006 EXTEND
062577,000208: 21,3272 71744 MP ACENTRAL
062578,000209: 21,3273 21740 DAS K2THETA
062579,000210: 21,3274 31747 CA A2CNTRAL +1
062580,000211: 21,3275 00006 EXTEND
062581,000212: 21,3276 71744 MP ACENTRAL # ACENTRAL MAY NOW BE OVERLAID.
062582,000213: 21,3277 27740 ADS K2THETA +1
062583,000214: 21,3300 54001 TS L
062584,000215: 21,3301 13303 TCF +2 # TWO TERMS OF NEGUSUM ACCUMULATED, SO FAR
062585,000216: 21,3302 27737 ADS K2THETA # SCALED AT 4*PI(2), IN D.P.
062586,000217:
062587,000218: 21,3303 31742 GETROOT CA K2CNTRAL # K*(DEL*OMEGA + ALPHA(2)/(2*K)) IS THE
062588,000219: 21,3304 00006 EXTEND # TERM FOR WHICH A SQUARE ROOT IS NEEDED.
062589,000220: 21,3305 71741 MP KCENTRAL # K AT PI/2(8)
062590,000221: 21,3306 53752 DXCH FUNCTION
062591,000222: 21,3307 31743 CA K2CNTRAL +1
062592,000223: 21,3310 00006 EXTEND
062593,000224: 21,3311 71741 MP KCENTRAL
062594,000225: 21,3312 27752 ADS FUNCTION +1
062595,000226: 21,3313 54001 TS L
062596,000227: 21,3314 13316 TCF +2
062597,000228: 21,3315 27751 ADS FUNCTION # DESIRED TERM IN FUNCTION, AT PI(2)/16
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Page 1476 |
062599,000230: 21,3316 11745 CCS DEL
062600,000231: 21,3317 13524 TCF RSTOFGTS
062601,000232: 21,3320 13566 TCF NEGUSUM
062602,000233: 21,3321 13323 TCF NEGATE
062603,000234: 21,3322 13566 TCF NEGUSUM
062604,000235:
062605,000236: 21,3323 00006 NEGATE EXTEND
062606,000237: 21,3324 41743 DCS K2CNTRAL
062607,000238: 21,3325 53743 DXCH K2CNTRAL
062608,000239: 21,3326 13524 TCF RSTOFGTS
062609,000240:
062610,000241: 16,3735 BANK 16
062611,000242: 16,3735 E6,1501 EBANK= NEGUQ
062612,000243: 16,2000 SETLOC DAPS1
062613,000244: 16,2000 BANK
062614,000245:
062615,000246: # THE WRCHN12 SUBROUTINE SETS BITS 9,10,11,12 OF CHANNEL 12 ON THE BASIS OF THE CONTENTS OF NEGUQ,NEGUR WHICH ARE
062616,000247: # THE NEGATIVES OF THE DESIRED ACCELERATION CHANGES. ACDT+C12 SETS Q(R)ACCDOT TO REFLECT THE NEW DRIVES.
062617,000248:
062618,000249: # WARNING: ACDT+C12 AND WRCHN12 MUST BE CALLED WITH INTERRUPT INHIBITED.
062619,000250:
062620,000251: 16,3735 07400 BGIM OCTAL 07400
062621,000252: 16,3736 0066 CHNL12 EQUALS ITEMP6
062622,000253: 16,3736 41501 ACDT+C12 CS NEGUQ
062623,000254: 16,3737 00006 EXTEND # GIMBAL DRIVE REQUESTS.
062624,000255: 16,3740 71507 MP ACCDOTQ
062625,000256: 16,3741 23510 LXCH QACCDOT
062626,000257: 16,3742 41503 CS NEGUR
062627,000258: 16,3743 00006 EXTEND
062628,000259: 16,3744 71511 MP ACCDOTR
062629,000260: 16,3745 23512 LXCH RACCDOT
062630,000261:
062631,000262: 16,3746 11501 CCS NEGUQ
062632,000263: 16,3747 34742 CAF BIT10
062633,000264: 16,3750 13752 TCF +2
062634,000265: 16,3751 34743 CAF BIT9
062635,000266: 16,3752 54066 TS CHNL12
062636,000267:
062637,000268: 16,3753 11503 CCS NEGUR
062638,000269: 16,3754 34740 CAF BIT12
062639,000270: 16,3755 13757 TCF +2
062640,000271: 16,3756 34741 CAF BIT11
062641,000272: 16,3757 26066 ADS CHNL12 # (STORED RESULT NOT USED AT PRESENT)
062642,000273:
062643,000274: 16,3760 43735 CS BGIM
062644,000275: 16,3761 00006 EXTEND
062645,000276: 16,3762 02012 RAND CHAN12
062646,000277: 16,3763 60066 AD CHNL12
062647,000278: 16,3764 00006 EXTEND
062648,000279: 16,3765 01012 WRITE CHAN12
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Page 1477 |
062650,000281: 16,3766 44747 CS CALLGMBL # TURN OFF REQUEST FOR ACDT+C12 EXECUTION.
062651,000282: 16,3767 71273 MASK RCSFLAGS
062652,000283: 16,3770 55273 TS RCSFLAGS
062653,000284:
062654,000285: 16,3771 00002 TC Q # RETURN TO CALLER.
062655,000286:
062656,000287: 21,3327 BANK 21
062657,000288: 21,3327 E6,1450 EBANK= QDIFF
062658,000289: 21,2000 SETLOC DAPS4
062659,000290: 21,2000 BANK
062660,000291:
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Page 1478 |
062662,000293: # SUBROUTINE TIMEGMBL: MOD 0, OCTOBER 1967, CRAIG WORK
062663,000294:
062664,000295: # TIMEGMBL COMPUTES THE DRIVE TIME NEEDED FOR THE TRIM GIMBAL TO POSITION THE DESCENT ENGINE NOZZLE SO AS TO NULL
062665,000296: # THE OFFSET ANGULAR ACCELERATION ABOUT THE Q (OR R) AXIS. INSTEAD OF USING AOSQ(R), TIMEGMBL USES .4*AOSQ(R),
062666,000297: # SCALED AT PI/8. FOR EACH AXIS, THE DRIVE TIME IS COMPUTED AS ABS(ALPHA/ACCDOT). A ZERO
062667,000298: # ALPHA OR ACCDOT OR A ZERO QUOTIENT TURNS OFF THE GIMBAL DRIVE IMMEDIATELY. OTHERWISE, THE GIMBAL IS TURNED ON
062668,000299: # DRIVING IN THE CORRECT DIRECTION. THE Q(R)GIMTIMR IS SET TO TERMINATE THE DRIVE AND Q(R)ACCDOT
062669,000300: # IS STORED TO REFLECT THE NEW ACCELERATION DERIVATIVE. NEGUQ(R) WILL CONTAIN +1,+0,-1 FOR A Q(R)ACCDOT VALUE
062670,000301: # WHICH IS NEGATIVE, ZERO, OR POSITIVE.
062671,000302:
062672,000303: # INPUTS: AOSQ,AOSR, SCALED AT P1/2, AND ACCDOTQ, ACCDOTR AT PI/2(7). PI/2(7).
062673,000304:
062674,000305: # OUTPUTS: NEW GIMBAL DRIVE BITS IN CHANNEL 12, NEGUQ, NEGUR, QACCDOT AND RACCDOT, THE LAST SCALED AT PI/2(7).
062675,000306: # Q(R)GIMTIMR WILL BE SET TO TIME AND TERMINATE GIMBAL DRIVE(S)
062676,000307:
062677,000308: # DEBRIS: A, L, Q, ITEMPS 2, 3, 6, RUPTREG2 AND ACDT+C12 DEBRIS.
062678,000309:
062679,000310: # EXITS: VIA TC Q.
062680,000311:
062681,000312: # ALARMS, ABORTS, : NONE
062682,000313:
062683,000314: # SUBROUTINES: ACDT+C12, IBNKCALL
062684,000315:
062685,000316: # WARNING: THIS SUBROUTINE WRITES INTO CHANNEL 12 AND USES THE ITEMPS. THEREFORE IT MAY ONLY BE CALLED WITH
062686,000317: # INTERRUPT INHIBITED.
062687,000318:
062688,000319: # ERASABLE STORAGE CONFIGURATION (NEEDED BY THE INDEXING METHODS):
062689,000320: # NEGUQ ERASE +2 NEGATIVE OF Q-AXIS GIMBAL DRIVE
062690,000321: # (SPWORD) EQUALS NEGUQ +1 ANY S.P. ERASABLE NUMBER, NOW THRSTCMD
062691,000322: # NEGUR EQUALS NEGUQ +2 NEGATIVE OF R-AXIS GIMBAL DRIVE
062692,000323: # ACCDOTQ ERASE +2 Q-JERK TERM SCALED AT PI/2(7) RAD/SEC(3)
062693,000324: # (SPWORD) EQUALS ACCDOTQ +1 ANY S.P. ERASABLE NUMBER NOW QACCDOT
062694,000325: # ACCDOTR EQUALS ACCDOTQ +2 R-JERK TERM SCALED AT PI/2(7) RAD/SEC(3)
062695,000326: # ACCDOTQ, ACCDOTR ARE MAGNITUDES.
062696,000327: # AOSQ ERASE +4 Q-AXIS ACC., D.P. AT PI/2 R/SEC(2)
062697,000328: # AOSR EQUALS AOSQ +2 R-AXIS ACCELERATION SCALED AT PI/2 R/S2
062698,000329:
062699,000330: 21,3327 0066 QRNDXER EQUALS ITEMP6
062700,000331: 21,3327 23146 OCT23146 OCTAL 23146 # DECIMAL .6
062701,000332: 21,3330 0063 NZACCDOT EQUALS ITEMP3
062702,000333:
062703,000334: 21,3330 34753 TIMEGMBL CAF ONE # INITIALIZE ALLOWGTS.
062704,000335: 21,3331 55502 TS ALLOWGTS
062705,000336:
062706,000337: 21,3332 34752 CAF TWO # SET UP LOOP FOR R AXIS.
062707,000338: 21,3333 22002 LXCH Q # SAVE RETURN ADDRESS.
062708,000339: 21,3334 22071 LXCH RUPTREG2
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Page 1479 |
062710,000341: 21,3335 13337 TCF +2
062711,000342: 21,3336 34755 TIMQGMBL CAF ZERO # NOW DO THE Q-AXIS
062712,000343: 21,3337 54066 TS QRNDXER
062713,000344: 21,3340 50066 INDEX QRNDXER
062714,000345: 21,3341 31507 CA ACCDOTQ # ACCDOT IS PRESUMED TO BE AT PI/2(7).
062715,000346: 21,3342 00006 EXTEND
062716,000347: 21,3343 63413 BZMF TGOFFNOW # IS ACCDOT LESS THAN OR EQUAL TO 0?
062717,000348: 21,3344 54063 TS NZACCDOT # NO. STORE NON-ZERO, POSITIVE ACCDOT.
062718,000349:
062719,000350: 21,3345 50066 ALPHATRY INDEX QRNDXER
062720,000351: 21,3346 41537 CS AOSQ
062721,000352: 21,3347 00006 EXTEND
062722,000353: 21,3350 13413 BZF TGOFFNOW # IS ALPHA ZERO?
062723,000354:
062724,000355: 21,3351 54002 TS Q # SAVE A COPY OF -AOS.
062725,000356: 21,3352 00006 EXTEND # NO. RESCALE FOR TIMEGMBL USE.
062726,000357: 21,3353 73327 MP OCT23146 # OCTAL 23146 IS DECIMAL .6
062727,000358: 21,3354 60002 AD Q # -1.6*AOS AT PI/2 = -.4*AOS AT PI/8.
062728,000359: 21,3355 54001 TS L # WAS THERE OVERFLOW?
062729,000360: 21,3356 13363 TCF SETNEGU # NO. COMPUTE DRIVE TIME.
062730,000361:
062731,000362: 21,3357 40000 CS A # RECOVER -SGN(AOS) IN THE A REGISTER.
062732,000363: 21,3360 50066 INDEX QRNDXER # YES. START DRIVE WITHOUT WAITLIST.
062733,000364: 21,3361 57501 XCH NEGUQ
062734,000365: 21,3362 13417 TCF NOTALLOW # KNOCK DOWN THE ALLOWGTS FLAG.
062735,000366:
062736,000367: 21,3363 00006 SETNEGU EXTEND
062737,000368: 21,3364 63371 BZMF POSALPH
062738,000369:
062739,000370: 21,3365 40000 COM
062740,000371: 21,3366 54062 TS ITEMP2 # STORE -ABS(.4*AOS) SCALED AT PI/8.
062741,000372: 21,3367 44753 CS BIT1
062742,000373: 21,3370 13373 TCF POSALPH +2
062743,000374: 21,3371 54062 POSALPH TS ITEMP2 # STORE -ABS(.4*AOS) SCALED AT PI/8.
062744,000375: 21,3372 34753 CA BIT1
062745,000376: 21,3373 50066 +2 INDEX QRNDXER # SGN(AOS) INTO NEGU
062746,000377: 21,3374 55501 TS NEGUQ # STORE SGN(APLHA) AS NEGU
062747,000378:
062748,000379: 21,3375 30063 CA NZACCDOT
062749,000380: 21,3376 00006 EXTEND
062750,000381: 21,3377 74740 MP BIT12 # 2*ACCDOT, SCALED AT PI/8.
062751,000382: 21,3400 60062 AD ITEMP2 # -ABS(ALPHA) + 2*ACCDOT, AT PI/8.
062752,000383: 21,3401 00006 EXTEND
062753,000384: 21,3402 63417 BZMF NOTALLOW # IS DRIVE TIME MORE THAN TWO SECONDS?
062754,000385: 21,3403 40062 CS ITEMP2 # NO. COMPUTE DRIVE TIME.
062755,000386: 21,3404 00006 EXTEND # ABS(ALPHA) AT PI/8.
062756,000387: 21,3405 73440 MP OCT00240 # DECIMAL 10/1024
062757,000388: 21,3406 00006 EXTEND # QUOTIENT IS DRIVE TIME AT WAITLIST.
062758,000389: 21,3407 10063 DV NZACCDOT # ABS(ALPHA)/ACCDOT AT 2(14)/100
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Page 1480 |
062760,000391: 21,3410 00006 EXTEND
062761,000392: 21,3411 13413 BZF TGOFFNOW # DRIVE TIME MUST BE GREATER THAN ZERO.
062762,000393:
062763,000394: 21,3412 13425 TCF DRIVEON
062764,000395:
062765,000396: 21,3413 34755 TGOFFNOW CAF ZERO # TURN OFF GIMBAL NOW.
062766,000397: 21,3414 50066 INDEX QRNDXER
062767,000398: 21,3415 55501 TS NEGUQ
062768,000399:
062769,000400: 21,3416 13427 TCF DONEYET
062770,000401:
062771,000402: 21,3417 36010 NOTALLOW CAF OCT31
062772,000403: 21,3420 50066 INDEX QRNDXER
062773,000404: 21,3421 55632 TS QGIMTIMR
062774,000405: 21,3422 34755 CAF ZERO # DRIVE TIME IS MORE THAN 2 SECONDS, SO
062775,000406: 21,3423 55502 TS ALLOWGTS # DO NOT PERMIT FURTHER GTS ATTITUDE-RATE
062776,000407: # CONTROL UNTIL AOSTASK APPROVES.
062777,000408: 21,3424 13427 TCF DONEYET # NO WAITLIST CALL IS MADE.
062778,000409:
062779,000410: 21,3425 50066 DRIVEON INDEX QRNDXER
062780,000411: 21,3426 55632 TS QGIMTIMR # CHOOSE Q OR R AXIS.
062781,000412:
062782,000413: 21,3427 10066 DONEYET CCS QRNDXER
062783,000414: 21,3430 13336 TCF TIMQGMBL
062784,000415:
062785,000416: 21,3431 52073 DXCH RUPTREG3 # PROTECT IBNKCALL ERASABLES. ACDT+C12
062786,000417: 21,3432 52063 DXCH ITEMP2 # LEAVES ITEMPS2,3 ALONE.
062787,000418:
062788,000419: 21,3433 04674 TC IBNKCALL # TURN OF CHANNEL BITS, SET Q(R)ACCDOTS.
062789,000420: 21,3434 35736 CADR ACDT+C12
062790,000421:
062791,000422: 21,3435 52063 DXCH ITEMP2 # RESTORE ERASABLES FOR IBNKCALL.
062792,000423: 21,3436 52073 DXCH RUPTREG3
062793,000424:
062794,000425: 21,3437 00071 TC RUPTREG2 # RETURN TO CALLER.
062795,000426:
062796,000427: 21,3440 00240 OCT00240 OCTAL 00240 # DECIMAL 10/1024
062797,000428:
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Page 1481 |
062799,000430: # THE FOLLOWING SECTION IS A CONTINUATION OF THE TRIM GIMBAL CONTROL FROM THE LAST GTS ENTRY. THE QUANTITY NEGUSUM
062800,000431: # IS COMPUTED FOR EACH AXIS (Q,R), .707*DEL*FUNCTION(3/2) + K2THETA = NEGUSUM. NEW DRIVES ARE ENTERED TO CH 12.
062801,000432:
062802,000433: # THE SUBROUTINE GTSQRT ACCEPTS A DOUBLE PRECISION VALUE IN FUNCTION, FUNCTION +1 AND RETURNS A SINGLE-PRECISION
062803,000434: # SQUARE ROOT OF THE FOURTEEN MOST SIGNIFICANT BITS OF THE ARGUMENT. ALSO, THE CELL SHFTFLAG CONTAINS A BINARY
062804,000435: # EXPONENT S, SUCH THAT THE SQUARE ROOT (RETURNED IN THE A REGISTER) MUST BE SHIFTED RIGHT (MULTIPLIED BY 2 TO THE
062805,000436: # POWER (-S)) IN ORDER TO BE THE TRUE SQUARE ROOT OF THE FOURTEEN MOST SIGNIFICANT BITS OF FUNCTION, FUNCTION +1.
062806,000437: # SQUARE ROOT ERROR IS NOT MORE THAN 2 IN THE 14TH SIGNIFICANT BIT. CELLS CLOBBERED ARE A, L, SHFTFLAG, ININDEX,
062807,000438: # HALFARG, SCRATCH, SR, FUNCTION, FUNCTION +1. GTSQRT IS CALLED BY TC GTSQRT AND RETURNS VIA TC Q OR TC FUNCTION +1.
062808,000439: # ZERO OR NEGATIVE ARGUMENTS YIELD ZERO FOR SQUARE ROOTS.
062809,000440:
062810,000441: 21,3441 11751 GTSQRT CCS FUNCTION
062811,000442: 21,3442 13460 TCF GOODARG # FUNCTION IS POSITIVE. TAKE SQUARE ROOT.
062812,000443: 21,3443 13445 TCF +2 # HIGH ORDER WORD IS ZERO. TRY THE LOWER.
062813,000444: 21,3444 13451 TCF ZEROOT # NEGATIVE. USE ZERO FOR 1/2 POWER.
062814,000445:
062815,000446: 21,3445 31752 CA FUNCTION +1
062816,000447: 21,3446 00006 EXTEND
062817,000448: 21,3447 63451 BZMF ZEROOT
062818,000449:
062819,000450: 21,3450 13454 TCF ZEROHIGH # PROCEED.
062820,000451: 21,3451 34755 ZEROOT CA ZERO
062821,000452: 21,3452 55741 TS SHFTFLAG
062822,000453: 21,3453 00002 TC Q
062823,000454:
062824,000455: 21,3454 57751 ZEROHIGH XCH FUNCTION # 14 MOST SIGNIFICANT BITS ARE IN THE
062825,000456: 21,3455 57752 XCH FUNCTION +1 # LOWER WORD. EXCHANGE THEM.
062826,000457: 21,3456 34757 CA SEVEN
062827,000458: 21,3457 13461 TCF GOODARG +1
062828,000459:
062829,000460: 21,3460 34755 GOODARG CA ZERO
062830,000461: 21,3461 55741 TS SHFTFLAG
062831,000462: 21,3462 35751 CA TWELVE # INITIALIZE THE SCALING LOOP.
062832,000463: 21,3463 55744 TS ININDEX
062833,000464: 21,3464 13473 TCF SCALLOOP
062834,000465:
062835,000466: 21,3465 31751 SCALSTRT CA FUNCTION
062836,000467: 21,3466 13507 TCF SCALDONE
062837,000468:
062838,000469: 21,3467 37746 MULBUSH CA NEG2 # IF ARG IS NOT LESS THAN 1/4, INDEX IS
062839,000470: 21,3470 27744 ADS ININDEX # ZERO, INDICATING NO SHIFT NEEDED.
062840,000471: 21,3471 00006 EXTEND # BRANCH IF ARG IS NOT LESS THAN 1/4.
062841,000472: 21,3472 63465 BZMF SCALSTRT # OTHERWISE COMPARE ARG WITH A REFERENCE
062842,000473: # WHICH IS 4 TIMES LARGER THAN THE LAST.
062843,000474: 21,3473 41751 SCALLOOP CS FUNCTION
062844,000475: 21,3474 51744 INDEX ININDEX
062845,000476: 21,3475 64735 AD BIT15 # REFERENCE MAGNITUDE LESS OR EQUAL TO 1/4
062846,000477: 21,3476 00006 EXTEND
062847,000478: 21,3477 63467 BZMF MULBUSH # IF ARG IS NOT LESS THAN REFERENCE, GO
062848,000479: # AROUND THE MULBERRY BUSH ONCE MORE.
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Page 1482 |
062850,000481: 21,3500 51744 INDEX ININDEX
062851,000482: 21,3501 34735 CA BIT15 # THIS IS THE SCALE MAGNITUDE
062852,000483: 21,3502 57747 XCH HALFARG # 2**(-ININDEX) IS THE SHIFT DIVISOR.
062853,000484: 21,3503 00006 EXTEND # RESCALE ARGUMENT.
062854,000485: 21,3504 31752 DCA FUNCTION
062855,000486: 21,3505 00006 EXTEND
062856,000487: 21,3506 11747 DV HALFARG
062857,000488: # ININDEX AND SHFTFLAG PRESERVE INFO FOR
062858,000489: # RESCALING AFTER ROOT PROCESS.
062859,000490: 21,3507 00006 SCALDONE EXTEND
062860,000491: 21,3510 23752 QXCH FUNCTION +1 # SAVE Q FOR RETURN
062861,000492: 21,3511 00006 EXTEND
062862,000493: 21,3512 74736 MP BIT14
062863,000494: 21,3513 55747 TS HALFARG
062864,000495: 21,3514 74737 MASK BIT13
062865,000496: 21,3515 10000 CCS A
062866,000497: 21,3516 33634 CA OCT11276
062867,000498: 21,3517 63632 AD ROOTHALF # INITIAL GUESS IS ROOT 1/2 OR POSMAX
062868,000499: 21,3520 03636 TC ROOTCYCL
062869,000500: 21,3521 03636 TC ROOTCYCL
062870,000501: 21,3522 03636 TC ROOTCYCL
062871,000502: 21,3523 01752 TC FUNCTION +1
062872,000503:
062873,000504: # ****************************************************************************************************************
062874,000505:
062875,000506: 21,3524 03441 RSTOFGTS TC GTSQRT
062876,000507: 21,3525 57742 PRODUCT XCH K2CNTRAL
062877,000508: 21,3526 00006 EXTEND
062878,000509: 21,3527 71742 MP K2CNTRAL
062879,000510: 21,3530 53743 DXCH K2CNTRAL
062880,000511: 21,3531 00006 EXTEND # THE PRODUCT OF
062881,000512: 21,3532 70001 MP L # 1/2 2 1/2
062882,000513: 21,3533 27743 ADS K2CNTRAL +1 # K *(DEL*OMEGA + ALPHA /(2*K))
062883,000514: 21,3534 54001 TS L # AND
062884,000515: 21,3535 13537 TCF +2 # 2
062885,000516: 21,3536 27742 ADS K2CNTRAL # DEL*(DEL*OMEGA + ALPHA /(2*K)) NOW IN
062886,000517: # K2CNTRAL
062887,000518:
062888,000519: 21,3537 31744 DOSHIFT CA ININDEX
062889,000520: 21,3540 00006 EXTEND # MULTIPLY IN THE FACTOR 2(-S), RETURNED
062890,000521: 21,3541 74736 MP BIT14 # BY THE GTSQRT SUBROUTINE
062891,000522: 21,3542 27741 ADS SHFTFLAG
062892,000523: 21,3543 00006 EXTEND
062893,000524: 21,3544 13563 BZF ADDITIN
062894,000525: 21,3545 51741 INDEX SHFTFLAG
062895,000526: 21,3546 34735 CA BIT15
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Page 1483 |
062897,000528: 21,3547 57742 XCH K2CNTRAL
062898,000529: 21,3550 00006 EXTEND
062899,000530: 21,3551 71742 MP K2CNTRAL
062900,000531: 21,3552 21740 DAS K2THETA
062901,000532: 21,3553 57742 XCH K2CNTRAL
062902,000533: 21,3554 00006 EXTEND
062903,000534: 21,3555 71743 MP K2CNTRAL +1
062904,000535: 21,3556 27740 ADS K2THETA +1
062905,000536: 21,3557 54001 TS L
062906,000537: 21,3560 13562 TCF +2
062907,000538: 21,3561 27737 ADS K2THETA
062908,000539:
062909,000540: 21,3562 13566 TCF NEGUSUM
062910,000541:
062911,000542: 21,3563 00006 ADDITIN EXTEND
062912,000543: 21,3564 31743 DCA K2CNTRAL
062913,000544: 21,3565 21740 DAS K2THETA # NOW ADD IN THE K2THETA TERM.
062914,000545: 21,3566 11737 NEGUSUM CCS K2THETA # TEST SIGN OF HIGH ORDER PART.
062915,000546: 21,3567 13573 TCF NEGDRIVE
062916,000547: 21,3570 13572 TCF +2
062917,000548: 21,3571 13575 TCF POSDRIVE
062918,000549:
062919,000550: 21,3572 11740 CCS K2THETA +1 # SIGN TEST FOR LOW ORDER PART.
062920,000551: 21,3573 34753 NEGDRIVE CA BIT1
062921,000552: 21,3574 13576 TCF +2 # STOP GIMBAL DRIVE FOR A ZERO NEGUSUM.
062922,000553: 21,3575 44753 POSDRIVE CS BIT1
062923,000554: 21,3576 54001 TS L # SAVE FOR DRIVE REVERSAL TEST.
062924,000555: 21,3577 51750 INDEX QRCNTR
062925,000556: 21,3600 57501 XCH NEGUQ
062926,000557:
062927,000558: 21,3601 00006 EXTEND
062928,000559: 21,3602 70001 MP L # MULTIPLY OLD NEGU AND NEW NEGU.
062929,000560: 21,3603 10001 CCS L
062930,000561: 21,3604 13621 TCF LOUPE # NON-ZERO GIMBAL DRIVE BEING CONTINUED.
062931,000562:
062932,000563: 21,3605 13616 TCF ZEROLOUP # NO REVERSAL PROBLEM HERE.
062933,000564:
062934,000565: 21,3606 13610 TCF REVERSAL # NON-ZERO GIMBAL DRIVE BEING REVERSED.
062935,000566: 21,3607 13616 TCF ZEROLOUP # NO REVERSAL PROBLEM HERE.
062936,000567:
062937,000568: 21,3610 51750 REVERSAL INDEX QRCNTR # A ZERO-DRIVE PAUSE IS NEEDED HERE. ZERO
062938,000569: 21,3611 55510 TS QACCDOT # IS IN A REGISTER FROM CCS ON (-1).
062939,000570: 21,3612 51750 INDEX QRCNTR
062940,000571: 21,3613 43633 CS GMBLBITA
062941,000572: 21,3614 00006 EXTEND
062942,000573: 21,3615 03012 WAND CHAN12
062943,000574:
062944,000575: 21,3616 41273 ZEROLOUP CS RCSFLAGS # SET UP REQUEST FOR ACDT+C12 CALL.
062945,000576: 21,3617 74747 MASK CALLGMBL
062946,000577: 21,3620 27273 ADS RCSFLAGS
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Page 1484 |
062948,000579: 21,3621 11750 LOUPE CCS QRCNTR # HAVE BOTH AXES BEEN PROCESSED?
062949,000580: 21,3622 13115 TCF GOQTRIMG # NO. DO Q AXIS NEXT.
062950,000581:
062951,000582: 21,3623 31505 CA SAVESR # RESTORE THE SR
062952,000583: 21,3624 54021 TS SR
062953,000584:
062954,000585: 21,3625 00006 GOCLOSE EXTEND # TERMINATE THE JASK.
062955,000586: 21,3626 33631 DCA CLOSEADR
062956,000587: 21,3627 52006 DTCB
062957,000588:
062958,000589: 21,3630 E6,1537 EBANK= AOSQ
062959,000590: 21,3630 03236 36106 CLOSEADR 2CADR CLOSEOUT # TERMINATE THE JASK.
062960,000591:
062961,000592: 21,3632 5751 TWELVE EQUALS OCT14
062962,000593: 21,3632 26501 ROOTHALF OCTAL 26501 # SQUARE ROOT OF 1/2
062963,000594: 21,3633 01400 GMBLBITA OCTAL 01400 # INDEXED WRT GMBLBITB DO NOT MOVE ******
062964,000595: 21,3634 11276 OCT11276 OCTAL 11276 # POSMAX - ROOTHALF
062965,000596: 21,3635 06000 GMBLBITB OCTAL 06000 # INDEXED WRT GMBLBITA DO NOT MOVE ******
062966,000597:
062967,000598: # SUBROUTINE ROOTCYCL: BY CRAIG WORK, 3 APRIL 68
062968,000599:
062969,000600: # ROOTCYCL IS A SUBROUTINE WHICH EXECUTES ONE NEWTON SQUARE ROOT ALGORITHM ITERATION. THE INITIAL GUESS AT THE
062970,000601: # SQUARE ROOT IS PRESUMED TO BE IN THE A REGISTER AND ONE-HALF THE SQUARE IS TAKEN FROM HALFARG. THE NEW APPROXI-
062971,000602: # MATION TO THE SQUARE ROOT IS RETURNED IN THE A REGISTER. DEBRIS: A, L, SR, SCRATCH. ROOTCYCL IS CALLED FROM
062972,000603: # LOCATION (LOC) BY A TC ROOTCYCL, AND RETURNS (TC Q) TO LOC +1.
062973,000604:
062974,000605: # WARNING: IF THE INITIAL GUESS IS NOT GREATER THAN THE SQUARE, DIVIDE OR ADD OVERFLOW IS A REAL POSSIBILITY.
062975,000606:
062976,000607: 21,3636 55746 ROOTCYCL TS SCRATCH # STORE X
062977,000608: 21,3637 54021 TS SR # X/2 NOW IN SR
062978,000609: 21,3640 31747 CA HALFARG # ARG/2 IN THE A REG
062979,000610: 21,3641 22007 ZL # PREPARE FOR DIVISION
062980,000611: 21,3642 00006 EXTEND
062981,000612: 21,3643 11746 DV SCRATCH # (ARG/X)/2
062982,000613: 21,3644 60021 AD SR # (X + ARG/X)/2 IN THE A REG
062983,000614: 21,3645 00002 TC Q
062984,000615:
062985,000616:
End of include-file TRIM_GIMBAL_CONTROL_SYSTEM.agc. Parent file is MAIN.agc