Source Code

This is a reconstruction of the AGC program Luminary 99 Rev 0. It was the second release of the Lunar Module flight software targeted for use in Apollo 11, after Luminary 97. A bug (which had been around since at least Apollo 10, Luminary 69) was discovered in Rev 0 shortly before the Apollo 11 flight, resulting in a last minute revision into Rev 1, which is what actually flew rather than the Rev 0 presented here. A hardcopy of Rev 0 is known to exist — it belonged to AGC developer Allan Klumpp for many years — but unfortunately the Virtual AGC Project has not had access to that hardcopy. Thus the code you see here had been reconstructed (we believe accurately) rather than transcribed. The first step of the reconstruction of the Rev 0 source code was the transcription of the Rev 1 source code from a hardcopy in the MIT Museum collection. The process of reverting the active portion of the source code (i.e., other than program comments) from Rev 1 to Rev 0 was very minor, consisting only of moving the position of the STARTSB1 label in FRESH START AND RESTART. Allan had previously given us the checksums of the memory banks of Rev 0, and we have verified the program presented here has checksums identical to all banks of Allan's listing of Rev 0. The notations on Allan's Rev 0 program listing read, in part:

	GAP:  ASSEMBLE REVISION 099 OF AGC PROGRAM LUMINARY BY NASA 2021112-051

A single program comment is known to differ between Rev 0 and Rev 1, but these are harder to reconstruct and verify than changes to the active portion of the code. Thus it is possible that there are additional differences between the program comments in Rev 0 and Rev 1 that are unknown to us, and therefore are not reflected in the code presented here.

053487,000002:                                                                                                  ## Copyright:   Public domain.
053488,000003:                                                                                                  ## Filename:    ORBITAL_INTEGRATION.agc
053489,000004:                                                                                                  ## Purpose:     Part of the reconstructed source code for LMY99 Rev 0,
053490,000005:                                                                                                  ##              otherwise known as Luminary Rev 99, the second release
053491,000006:                                                                                                  ##              of the Apollo Guidance Computer (AGC) software for Apollo 11.
053492,000007:                                                                                                  ##              It differs from LMY99 Rev 1 (the flown version) only in the
053493,000008:                                                                                                  ##              placement of a single label. The corrections shown here have
053494,000009:                                                                                                  ##              been verified to have the same bank checksums as AGC developer
053495,000010:                                                                                                  ##              Allan Klumpp's copy of Luminary Rev 99, and so are believed
053496,000011:                                                                                                  ##              to be accurate. This file is intended to be a faithful 
053497,000012:                                                                                                  ##              recreation, except that the code format has been changed to 
053498,000013:                                                                                                  ##              conform to the requirements of the yaYUL assembler rather than 
053499,000014:                                                                                                  ##              the original YUL assembler.
053500,000015:                                                                                                  ##
053501,000016:                                                                                                  ## Assembler:   yaYUL
053502,000017:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
053503,000018:                                                                                                  ## Website:     www.ibiblio.org/apollo.
053504,000019:                                                                                                  ## Pages:       1227-1248
053505,000020:                                                                                                  ## Mod history: 2009-05-26 RSB  Adapted from the corresponding 
053506,000021:                                                                                                  ##                              Luminary131 file, using page 
053507,000022:                                                                                                  ##                              images from Luminary 1A.
053508,000023:                                                                                                  ##              2009-06-05 RSB  Fixed 3 typos.
053509,000024:                                                                                                  ##              2009-06-06 RSB  Page 1248 was missing entirely for some reason.
053510,000025:                                                                                                  ##              2009-06-07 RSB  Corrected a typo.
053511,000026:                                                                                                  ##              2016-12-17 RSB  Proofed text comments with octopus/ProoferComments
053512,000027:                                                                                                  ##                              and corrected the errors found.
053513,000028:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified in diff'ing
053514,000029:                                                                                                  ##                              Luminary 99 vs Comanche 55.
053515,000030:                                                                                                  ##              2017-08-01 MAS  Created from LMY99 Rev 1.
053516,000031:                                                                                                  ##              2017-08-17 RSB  Comment-text fixes identified from AP11ROPE scans.
053517,000032: 
053518,000033:                                                                                                  ## This source code has been transcribed or otherwise adapted from
053519,000034:                                                                                                  ## digitized images of a hardcopy from the MIT Museum.  The digitization
053520,000035:                                                                                                  ## was performed by Paul Fjeld, and arranged for by Deborah Douglas of
053521,000036:                                                                                                  ## the Museum.  Many thanks to both.  The images (with suitable reduction
053522,000037:                                                                                                  ## in storage size and consequent reduction in image quality as well) are
053523,000038:                                                                                                  ## available online at www.ibiblio.org/apollo.  If for some reason you
053524,000039:                                                                                                  ## find that the images are illegible, contact me at info@sandroid.org
053525,000040:                                                                                                  ## about getting access to the (much) higher-quality images which Paul
053526,000041:                                                                                                  ## actually created.
053527,000042:                                                                                                  ##
053528,000043:                                                                                                  ## The code has been modified to match LMY99 Revision 0, otherwise
053529,000044:                                                                                                  ## known as Luminary Revision 99, the Apollo 11 software release preceeding
053530,000045:                                                                                                  ## the listing from which it was transcribed. It has been verified to
053531,000046:                                                                                                  ## contain the same bank checksums as AGC developer Allan Klumpp's listing
053532,000047:                                                                                                  ## of Luminary Revision 99 (for which we do not have scans).
053533,000048:                                                                                                  ##
053534,000049:                                                                                                  ## Notations on Allan Klumpp's listing read, in part:
053535,000050:                                                                                                  ##
053536,000051:                                                                                                  ##      ASSEMBLE REVISION 099 OF AGC PROGRAM LUMINARY BY NASA 2021112-51
053537,000052: 

Page 1227

053539,000054:                                                                                                  #  DELETE
053540,000055: 13,3675                                           BANK     13                                    
053541,000056: 11,2000                                           SETLOC   ORBITAL                               
053542,000057: 11,2000                                           BANK                                           
053543,000058: 11,2376                                           COUNT*   $$/ORBIT                              
053544,000059: 
053545,000060:                                                                                                  #  DELETE
053546,000061: 11,2376           40354        KEPPREP            LXA,2    SETPD                                 
053547,000062: 11,2377           02030                                    PBODY                                 
053548,000063: 11,2400           00001                                    0                                     
053549,000064: 11,2401           75543                           DLOAD*   SQRT                                  #  SQRT(MU) (+18 OR +15)         0D      PL 2D
053550,000065: 11,2402           51770                                    MUEARTH,2                             
053551,000066: 11,2403           53515                           PDVL     UNIT                                  #                                        PL 8D
053552,000067: 11,2404           01535                                    RCV                                   
053553,000068: 11,2405           60325                           PDDL     NORM                                  #  NORM R (+29 OR +27 - N1)      2D      PL 4D
053554,000069: 11,2406           00045                                    36D                                   
053555,000070: 11,2407           00047                                    X1                                    
053556,000071: 11,2410           77715                           PDVL                                           
053557,000072: 11,2411           65241                           DOT      PDDL                                  #  F*SQRT(MU) (+7 OR +5)         4D      PL 6D
053558,000073: 11,2412           01543                                    VCV                                   
053559,000074: 11,2413           02074                                    TAU.                                  #  (+28)
053560,000075: 11,2414           60225                           DSU      NORM                                  
053561,000076: 11,2415           01551                                    TC                                    
053562,000077: 11,2416           00051                                    S1                                    
053563,000078: 11,2417           77742                           SR1                                            
053564,000079: 11,2420           65271                           DDV      PDDL                                  
053565,000080: 11,2421           00003                                    2D                                    
053566,000081: 11,2422           41405                           DMP      PUSH                                  #  FS (+6 +N1-N2)                6D      PL 8D
053567,000082: 11,2423           00005                                    4D                                    
053568,000083: 11,2424           65316                           DSQ      PDDL                                  #  (FS)SQ (+12 +2(N1-N2))        8D      PL 10D
053569,000084: 11,2425           00005                                    4D                                    
053570,000085: 11,2426           64716                           DSQ      PDDL*                                 #  SSQ/MU (-2 OR +2(N1-N2))      10D     PL 12D
053571,000086: 11,2427           51770                                    MUEARTH,2                             
053572,000087: 11,2430           40442                           SR3      SR4                                   
053573,000088: 11,2431           47515                           PDVL     VSQ                                   #  PREALIGN MU (+43 OR +37)      12D     PL 14D
053574,000089: 11,2432           01543                                    VCV                                   
053575,000090: 11,2433           44205                           DMP      BDSU                                  #                                        PL 12D
053576,000091: 11,2434           00045                                    36D                                   
053577,000092: 11,2435           41271                           DDV      DMP                                   #                                        PL 10D
053578,000093: 11,2436           00003                                    2D                                    #  -(1/R-ALPHA) (+12 +3N1-2N2)
053579,000094: 11,2437           53605                           DMP      SL*                                   
053580,000095: 11,2440           25774                                    DP2/3                                 
053581,000096: 11,2441           20176                                    0          -3,1                       #  10L(1/R-ALPHA) (+13 +2(N1-N2))
053582,000097: 11,2442           43260                           XSU,1    DAD                                   #  2(FS)SQ - ETCETRA                     PL 8D
053583,000098: 11,2443           00050                                    S1                                    #  X1 = N2-N1
053584,000099: 11,2444           45257                           SL*      DSU                                   #  -FS+2(FS)SQ ETC (+6 +N1-N2)           PL 6D
053585,000100: 11,2445           20211                                    8D,1                                  
053586,000101: 11,2446           41205                           DMP      DMP                                   
053587,000102: 11,2447           00001                                    0D                                    
053588,000103: 11,2450           00005                                    4D                                    
053589,000104: 11,2451           53657                           SL*      SL*                                   

Page 1228

053591,000106: 11,2452           20211                                    8D,1                                  
053592,000107: 11,2453           20201                                    0,1                                   #  S(-FS(1-2FS)-1/6...) (+17 OR +16)
053593,000108: 11,2454           65215                           DAD      PDDL                                  #                                        PL 6D
053594,000109: 11,2455           01553                                    XKEP                                  
053595,000110: 11,2456           53605                           DMP      SL*                                   #  S(+17 OR +16)
053596,000111: 11,2457           00001                                    0D                                    
053597,000112: 11,2460           20202                                    1,1                                   
053598,000113: 11,2461           43204                           BOVB     DAD                                   
053599,000114: 11,2462           57753                                    TCDANZIG                              
053600,000115: 11,2463           77626                           STADR                                          
053601,000116: 11,2464           75647                           STORE    XKEPNEW                               
053602,000117: 11,2465           74020                           STQ      AXC,1                                 
053603,000118: 11,2466           02112                                    KEPRTN                                
053604,000119: 11,2467           00012                           DEC      10         B-14                       
053605,000120: 11,2470           74014                           BON      AXC,1                                 
053606,000121: 11,2471           00303                                    MOONFLAG                              
053607,000122: 11,2472           24023                                    KEPLERN                               
053608,000123: 11,2473           00002                           DEC      2          B-14                       
053609,000124: 11,2474           77650                           GOTO                                           
053610,000125: 11,2475           24023                                    KEPLERN                               
053611,000126: 

Page 1229

053613,000128: 11,2476           66350        FBR3               LXA,1    SSP                                   
053614,000129: 11,2477           01500                                    DIFEQCNT                              
053615,000130: 11,2500           00051                                    S1                                    
053616,000131: 11,2501           77762                           DEC      -13        B-14                       
053617,000132: 11,2502           54345                           DLOAD    SR                                    
053618,000133: 11,2503           02076                                    DT/2                                  
053619,000134: 11,2504           20612                                    9D                                    
053620,000135: 11,2505           61500                           TIX,1    ROUND                                 
053621,000136: 11,2506           22507                                    +1                                    
053622,000137: 11,2507           43206                           PUSH     DAD                                   
053623,000138: 11,2510           01551                                    TC                                    
053624,000139: 11,2511           16074                           STODL    TAU.                                  
053625,000140: 11,2512           77615                           DAD                                            
053626,000141: 11,2513           01517                                    TET                                   
053627,000142: 11,2514           35517                           STCALL   TET                                   
053628,000143: 11,2515           22376                                    KEPPREP                               
053629,000144: 

Page 1230

053631,000146:                                                                                                  #  AGC ROUTINE TO COMPUTE ACCELERATION COMPONENTS.
053632,000147: 
053633,000148: 11,2516           73150        ACCOMP             LXA,1    LXA,2                                 
053634,000149: 11,2517           02030                                    PBODY                                 
053635,000150: 11,2520           02030                                    PBODY                                 
053636,000151: 11,2521           77775                           VLOAD                                          
053637,000152: 11,2522           24007                                    ZEROVEC                               
053638,000153: 11,2523           26062                           STOVL    FV                                    
053639,000154: 11,2524           02032                                    ALPHAV                                
053640,000155: 11,2525           53257                           VSL*     VAD                                   
053641,000156: 11,2526           57605                                    0          -7,2                       
053642,000157: 11,2527           01535                                    RCV                                   
053643,000158: 11,2530           02040                           STORE    BETAV                                 
053644,000159: 11,2531           65014                           BOF      XCHX,2                                
053645,000160: 11,2532           01756                                    DIM0FLAG                              
053646,000161: 11,2533           22540                                    +5                                    
053647,000162: 11,2534           01500                                    DIFEQCNT                              
053648,000163: 11,2535           12132                           STORE    VECTAB,2                              
053649,000164: 11,2536           77724                           XCHX,2                                         
053650,000165: 11,2537           01500                                    DIFEQCNT                              
053651,000166: 11,2540           53575                           VLOAD    UNIT                                  
053652,000167: 11,2541           02032                                    ALPHAV                                
053653,000168: 11,2542           16032                           STODL    ALPHAV                                
053654,000169: 11,2543           00045                                    36D                                   
053655,000170: 11,2544           02070                           STORE    ALPHAM                                
053656,000171: 11,2545           77624                           CALL                                           
053657,000172: 11,2546           22650                                    GAMCOMP                               
053658,000173: 11,2547           66175                           VLOAD    SXA,1                                 
053659,000174: 11,2550           02040                                    BETAV                                 
053660,000175: 11,2551           00051                                    S2                                    
053661,000176: 11,2552           16032                           STODL    ALPHAV                                
053662,000177: 11,2553           02072                                    BETAM                                 
053663,000178: 11,2554           02070                           STORE    ALPHAM                                
053664,000179: 11,2555           71214                           BOF      DLOAD                                 
053665,000180: 11,2556           00342                                    MIDFLAG                               
053666,000181: 11,2557           23022                                    OBLATE                                
053667,000182: 11,2560           01517                                    TET                                   
053668,000183: 11,2561           77624                           CALL                                           
053669,000184: 11,2562           33664                                    LSPOS                                 
053670,000185: 11,2563           72174                           AXT,2    LXA,1                                 
053671,000186: 11,2564           00002                                    2                                     
053672,000187: 11,2565           00051                                    S2                                    
053673,000188: 11,2566           77614                           BOF                                            
053674,000189: 11,2567           00343                                    MOONFLAG                              
053675,000190: 11,2570           22573                                    +3                                    
053676,000191: 11,2571           77076                           VCOMP    AXT,2                                 
053677,000192: 11,2572           00000                                    0                                     
053678,000193: 11,2573           02040                           STORE    BETAV                                 
053679,000194: 11,2574           26105                           STOVL    RPQV                                  

Page 1231

053681,000196: 11,2575           00003                                    2D                                    
053682,000197: 11,2576           02122                           STORE    RPSV                                  
053683,000198: 11,2577           45335                           SLOAD    DSU                                   
053684,000199: 11,2600           01012                                    MODREG                                
053685,000200: 11,2601           25776                                    OCT27                                 
053686,000201: 11,2602           43030                           BHIZ     BOF                                   
053687,000202: 11,2603           22606                                    +3                                    
053688,000203: 11,2604           01756                                    DIM0FLAG                              
053689,000204: 11,2605           22622                                    GETRPSV                               
053690,000205: 11,2606           74375                           VLOAD    VXSC                                  
053691,000206: 11,2607           02032                                    ALPHAV                                
053692,000207: 11,2610           02070                                    ALPHAM                                
053693,000208: 11,2611           52257                           VSR*     VSU                                   
053694,000209: 11,2612           57175                                    1,2                                   
053695,000210: 11,2613           02040                                    BETAV                                 
053696,000211: 11,2614           77724                           XCHX,2                                         
053697,000212: 11,2615           01500                                    DIFEQCNT                              
053698,000213: 11,2616           12140                           STORE    VECTAB     +6,2                       
053699,000214: 11,2617           02114                           STORE    RQVV                                  
053700,000215: 11,2620           77724                           XCHX,2                                         
053701,000216: 11,2621           01500                                    DIFEQCNT                              
053702,000217: 11,2622           62175        GETRPSV            VLOAD    INCR,1                                
053703,000218: 11,2623           02105                                    RPQV                                  
053704,000219: 11,2624           00004                                    4                                     
053705,000220: 11,2625           43014                           CLEAR    BOF                                   
053706,000221: 11,2626           04260                                    RPQFLAG                               
053707,000222: 11,2627           00343                                    MOONFLAG                              
053708,000223: 11,2630           22635                                    +5                                    
053709,000224: 11,2631           53261                           VSR      VAD                                   
053710,000225: 11,2632           20612                                    9D                                    
053711,000226: 11,2633           02122                                    RPSV                                  
053712,000227: 11,2634           02122                           STORE    RPSV                                  
053713,000228: 11,2635           77624                           CALL                                           
053714,000229: 11,2636           22650                                    GAMCOMP                               
053715,000230: 11,2637           62174                           AXT,2    INCR,1                                
053716,000231: 11,2640           00004                                    4                                     
053717,000232: 11,2641           00004                                    4                                     
053718,000233: 11,2642           77775                           VLOAD                                          
053719,000234: 11,2643           02122                                    RPSV                                  
053720,000235: 11,2644           36040                           STCALL   BETAV                                 
053721,000236: 11,2645           22650                                    GAMCOMP                               
053722,000237: 11,2646           77650                           GOTO                                           
053723,000238: 11,2647           23022                                    OBLATE                                
053724,000239: 11,2650           74575        GAMCOMP            VLOAD    VSR1                                  
053725,000240: 11,2651           02040                                    BETAV                                 
053726,000241: 11,2652           40236                           VSQ      SETPD                                 
053727,000242: 11,2653           00001                                    0                                     
053728,000243: 11,2654           61501                           NORM     ROUND                                 
053729,000244: 11,2655           00040                                    31D                                   
053730,000245: 11,2656           60325                           PDDL     NORM                                  #  NORMED B SQUARED TO PD LIST

Page 1232

053732,000247: 11,2657           02070                                    ALPHAM                                #  NORMALIZE (LESS ONE) LENGTH OF ALPHA
053733,000248: 11,2660           00041                                    32D                                   #  SAVING NORM SCALE FACTOR IN X1
053734,000249: 11,2661           63342                           SR1      PDVL                                  
053735,000250: 11,2662           02040                                    BETAV                                 #  C(PDL+2) = ALMOST NORMED ALPHA
053736,000251: 11,2663           77656                           UNIT                                           
053737,000252: 11,2664           16040                           STODL    BETAV                                 
053738,000253: 11,2665           00045                                    36D                                   
053739,000254: 11,2666           02072                           STORE    BETAM                                 
053740,000255: 11,2667           55301                           NORM     BDDV                                  #  FORM NORMALIZED QUOTIENT ALPHAM/BETAM
053741,000256: 11,2670           00042                                    33D                                   
053742,000257: 11,2671           41562                           SR1R     PUSH                                  #  C(PDL+2) = ALMOST NORMALIZED RHO.
053743,000258: 11,2672           77743                           DLOAD*                                         
053744,000259: 11,2673           27710                                    ASCALE,1                              
053745,000260: 11,2674           00051                           STORE    S1                                    
053746,000261: 11,2675           57124                           XCHX,2   XAD,2                                 
053747,000262: 11,2676           00050                                    S1                                    
053748,000263: 11,2677           00040                                    32D                                   
053749,000264: 11,2700           71264                           XSU,2    DLOAD                                 
053750,000265: 11,2701           00041                                    33D                                   
053751,000266: 11,2702           00003                                    2D                                    
053752,000267: 11,2703           65057                           SR*      XCHX,2                                
053753,000268: 11,2704           57177                                    0          -1,2                       
053754,000269: 11,2705           00050                                    S1                                    
053755,000270: 11,2706           74406                           PUSH     SR1R                                  #  RHO/4 TO 4D
053756,000271: 11,2707           50315                           PDVL     DOT                                   
053757,000272: 11,2710           02032                                    ALPHAV                                
053758,000273: 11,2711           02040                                    BETAV                                 
053759,000274: 11,2712           44372                           SL1R     BDSU                                  #  (RHO/4) - 2(ALPHAV/2.BETAV/2)
053760,000275: 11,2713           57206                           PUSH     DMPR                                  #  TO PDL+6
053761,000276: 11,2714           00005                                    4                                     
053762,000277: 11,2715           77752                           SL1                                            
053763,000278: 11,2716           43206                           PUSH     DAD                                   
053764,000279: 11,2717           25756                                    DQUARTER                              
053765,000280: 11,2720           75406                           PUSH     SQRT                                  
053766,000281: 11,2721           41475                           DMPR     PUSH                                  
053767,000282: 11,2722           00013                                    10D                                   
053768,000283: 11,2723           43352                           SL1      DAD                                   
053769,000284: 11,2724           25756                                    DQUARTER                              
053770,000285: 11,2725           43325                           PDDL     DAD                                   #  (1/4)+2((Q+1)/4)      TO PD+14D
053771,000286: 11,2726           00013                                    10D                                   
053772,000287: 11,2727           24005                                    HALFDP                                
053773,000288: 11,2730           72475                           DMPR     SL1                                   
053774,000289: 11,2731           00011                                    8D                                    
053775,000290: 11,2732           56215                           DAD      DDV                                   
053776,000291: 11,2733           25750                                    THREE/8                               
053777,000292: 11,2734           00017                                    14D                                   
053778,000293: 11,2735           74275                           DMPR     VXSC                                  
053779,000294: 11,2736           00007                                    6                                     
053780,000295: 11,2737           02040                                    BETAV                                 #                -
053781,000296: 11,2740           64515                           PDVL     VSR3                                  #  (G/2)(C(PD+4))B/2 TO PD+16D

Page 1233

053783,000298: 11,2741           02032                                    ALPHAV                                
053784,000299: 11,2742           41455                           VAD      PUSH                                  #  A12 + C(PD+16D) TO PD+16D
053785,000300: 11,2743           41345                           DLOAD    DMP                                   
053786,000301: 11,2744           00001                                    0                                     
053787,000302: 11,2745           00015                                    12D                                   
053788,000303: 11,2746           61501                           NORM     ROUND                                 
053789,000304: 11,2747           00037                                    30D                                   
053790,000305: 11,2750           40665                           BDDV     DMP*                                  
053791,000306: 11,2751           00003                                    2                                     
053792,000307: 11,2752           51770                                    MUEARTH,2                             
053793,000308: 11,2753           74276                           DCOMP    VXSC                                  
053794,000309: 11,2754           57124                           XCHX,2   XAD,2                                 
053795,000310: 11,2755           00050                                    S1                                    
053796,000311: 11,2756           00051                                    S2                                    
053797,000312: 11,2757           55064                           XSU,2    XSU,2                                 
053798,000313: 11,2760           00036                                    30D                                   
053799,000314: 11,2761           00037                                    31D                                   
053800,000315: 11,2762           77600                           BOV                                            #  CLEAR OVIND
053801,000316: 11,2763           22764                                    +1                                    
053802,000317: 11,2764           65057                           VSR*     XCHX,2                                
053803,000318: 11,2765           57177                                    0          -1,2                       
053804,000319: 11,2766           00050                                    S1                                    
053805,000320: 11,2767           77655                           VAD                                            
053806,000321: 11,2770           02062                                    FV                                    
053807,000322: 11,2771           02062                           STORE    FV                                    
053808,000323: 11,2772           43400                           BOV      RVQ                                   #  RETURN IF NO OVERFLOW
053809,000324: 11,2773           22774                                    +1                                    
053810,000325: 11,2774           51575        GOBAQUE            VLOAD    ABVAL                                 
053811,000326: 11,2775           01521                                    TDELTAV                               
053812,000327: 11,2776           77654                           BZE                                            
053813,000328: 11,2777           23017                                    INT-ABRT                              
053814,000329: 11,3000           54345                           DLOAD    SR                                    
053815,000330: 11,3001           02100                                    H                                     
053816,000331: 11,3002           20612                                    9D                                    
053817,000332: 11,3003           44206                           PUSH     BDSU                                  
053818,000333: 11,3004           01551                                    TC                                    
053819,000334: 11,3005           16074                           STODL    TAU.                                  
053820,000335: 11,3006           01517                                    TET                                   
053821,000336: 11,3007           45425                           DSU      STADR                                 
053822,000337: 11,3010           42260                           STCALL   TET                                   
053823,000338: 11,3011           22376                                    KEPPREP                               
053824,000339: 11,3012           77624                           CALL                                           
053825,000340: 11,3013           23441                                    RECTIFY                               
053826,000341: 11,3014           77614                           SETGO                                          
053827,000342: 11,3015           04020                                    RPQFLAG                               
053828,000343: 11,3016           27257                                    TESTLOOP                              
053829,000344: 
053830,000345: 11,3017           77776        INT-ABRT           EXIT                                           
053831,000346: 11,3020           05652                           TC       POODOO                                
053832,000347: 11,3021           00430                           OCT      00430                                 
053833,000348: 

Page 1234

053835,000350:                                                                                                  #  THE OBLATE ROUTINE COMPUTES THE ACCELERATION DUE TO OBLATENESS.  IT USES THE UNIT OF THE VEHICLE
053836,000351:                                                                                                  #  POSITION VECTOR FOUND IN ALPHAV AND THE DISTANCE TO THE CENTER IN ALPHAM.  THIS IS ADDED TO THE SUM OF THE
053837,000352:                                                                                                  #  DISTURBING ACCELERATIONS IN FV AND THE PROPER DIFEQ STAGE IS CALLED VIA X1.
053838,000353: 
053839,000354: 11,3022           71354        OBLATE             LXA,2    DLOAD                                 
053840,000355: 11,3023           02030                                    PBODY                                 
053841,000356: 11,3024           02070                                    ALPHAM                                
053842,000357: 11,3025           44601                           SETPD    DSU*                                  
053843,000358: 11,3026           00001                                    0                                     
053844,000359: 11,3027           50053                                    RDE,2                                 
053845,000360: 11,3030           43044                           BPL      BOF                                   #  GET URPV
053846,000361: 11,3031           23232                                    NBRANCH                               
053847,000362: 11,3032           00343                                    MOONFLAG                              
053848,000363: 11,3033           23241                                    COSPHIE                               
053849,000364: 11,3034           65375                           VLOAD    PDDL                                  
053850,000365: 11,3035           02032                                    ALPHAV                                
053851,000366: 11,3036           01517                                    TET                                   
053852,000367: 11,3037           45125                           PDDL     CALL                                  
053853,000368: 11,3040           25746                                    3/5                                   
053854,000369: 11,3041           51670                                    R-TO-RP                               
053855,000370: 11,3042           00017                           STORE    URPV                                  
053856,000371: 11,3043           47375                           VLOAD    VXV                                   
053857,000372: 11,3044           02013                                    504LM                                 
053858,000373: 11,3045           24001                                    ZUNIT                                 
053859,000374: 11,3046           61255                           VAD      VXM                                   
053860,000375: 11,3047           24001                                    ZUNIT                                 
053861,000376: 11,3050           00025                                    MMATRIX                               
053862,000377: 11,3051           77656                           UNIT                                           #  POSSIBLY UNNECESSARY
053863,000378: 11,3052           00025        COMTERM            STORE    UZ                                    
053864,000379: 11,3053           57345                           DLOAD    DMPR                                  
053865,000380: 11,3054           00023                                    COSPHI/2                              
053866,000381: 11,3055           25760                                    3/32                                  
053867,000382: 11,3056           63525                           PDDL     DSQ                                   #  P2/64 TO PD0
053868,000383: 11,3057           00023                                    COSPHI/2                              
053869,000384: 11,3060           45275                           DMPR     DSU                                   
053870,000385: 11,3061           25762                                    15/16                                 
053871,000386: 11,3062           25754                                    3/64                                  
053872,000387: 11,3063           57206                           PUSH     DMPR                                  #  P3/32 TO PD2
053873,000388: 11,3064           00023                                    COSPHI/2                              
053874,000389: 11,3065           76405                           DMP      SL1R                                  
053875,000390: 11,3066           25766                                    7/12                                  
053876,000391: 11,3067           57325                           PDDL     DMPR                                  
053877,000392: 11,3070           00001                                    0                                     
053878,000393: 11,3071           25774                                    2/3                                   
053879,000394: 11,3072           41421                           BDSU     PUSH                                  #  P4/128 TO PD4
053880,000395: 11,3073           57275                           DMPR     DMPR                                  
053881,000396: 11,3074           00023                                    COSPHI/2                              #  BEGIN COMPUTING P5/1024
053882,000397: 11,3075           25770                                    9/16                                  
053883,000398: 11,3076           57325                           PDDL     DMPR                                  
053884,000399: 11,3077           00003                                    2                                     
053885,000400: 11,3100           25772                                    5/128                                 

Page 1235

053887,000402: 11,3101           77621                           BDSU                                           
053888,000403: 11,3102           77603                           DMP*                                           
053889,000404: 11,3103           51764                                    J4REQ/J3,2                            
053890,000405: 11,3104           43271                           DDV      DAD                                   #               -3
053891,000406: 11,3105           02070                                    ALPHAM                                #  (((P5/256)B 2  /R+P4/32)  /R+P3/8)ALPHAV
053892,000407: 11,3106           00005                                    4                                     #             4             3
053893,000408: 11,3107           56273                           DMPR*    DDV                                   
053894,000409: 11,3110           51760                                    2J3RE/J2,2                            
053895,000410: 11,3111           02070                                    ALPHAM                                
053896,000411: 11,3112           74215                           DAD      VXSC                                  
053897,000412: 11,3113           00003                                    2                                     
053898,000413: 11,3114           02032                                    ALPHAV                                
053899,000414: 11,3115           14033                           STODL    TVEC                                  
053900,000415: 11,3116           70403                           DMP*     SR1                                   
053901,000416: 11,3117           51764                                    J4REQ/J3,2                            
053902,000417: 11,3120           43271                           DDV      DAD                                   
053903,000418: 11,3121           02070                                    ALPHAM                                #                -3
053904,000419: 11,3122           50473                           DMPR*    SR3                                   
053905,000420: 11,3123           51760                                    2J3RE/J2,2                            #     3        4
053906,000421: 11,3124           43271                           DDV      DAD                                   
053907,000422: 11,3125           02070                                    ALPHAM                                
053908,000423: 11,3126           76561                           VXSC     VSL1                                  
053909,000424: 11,3127           00025                                    UZ                                    
053910,000425: 11,3130           77645                           BVSU                                           
053911,000426: 11,3131           00033                                    TVEC                                  
053912,000427: 11,3132           14033                           STODL    TVEC                                  
053913,000428: 11,3133           02070                                    ALPHAM                                
053914,000429: 11,3134           63501                           NORM     DSQ                                   
053915,000430: 11,3135           00047                                    X1                                    
053916,000431: 11,3136           60316                           DSQ      NORM                                  
053917,000432: 11,3137           00051                                    S1                                    #          4
053918,000433: 11,3140           54606                           PUSH     BDDV*                                 #  NORMED R  TO 0D
053919,000434: 11,3141           51754                                    J2REQSQ,2                             
053920,000435: 11,3142           40161                           VXSC     BOV                                   
053921,000436: 11,3143           00033                                    TVEC                                  
053922,000437: 11,3144           23145                                    +1                                    #  (RESET OVERFLOW INDICATOR)
053923,000438: 11,3145           56070                           XAD,1    XAD,1                                 
053924,000439: 11,3146           00046                                    X1                                    
053925,000440: 11,3147           00046                                    X1                                    
053926,000441: 11,3150           53670                           XAD,1    VSL*                                  
053927,000442: 11,3151           00050                                    S1                                    
053928,000443: 11,3152           20153                                    0          -22D,1                     
053929,000444: 11,3153           40055                           VAD      BOV                                   
053930,000445: 11,3154           02062                                    FV                                    
053931,000446: 11,3155           22774                                    GOBAQUE                               
053932,000447: 11,3156           36062                           STCALL   FV                                    
053933,000448: 11,3157           27725                                    QUALITY1                              
053934,000449: 
053935,000450: 11,3160           77716        QUALITY3           DSQ                                            #  J22 TERM X R**4 IN 2D, SCALED B61
053936,000451:                                                                                                  #  AS VECTOR.

Page 1236

053938,000453: 11,3161           41206                           PUSH     DMP                                   #  STORE COSPHI**2 SCALED B2 IN 8D
053939,000454: 11,3162           27712                                    5/8                                   #  5 SCALED B3
053940,000455: 11,3163           60525                           PDDL     SR2                                   #  PUT 5 COSPHI**2, D5, IN 8D.  GET
053941,000456:                                                                                                  #  COSPHI**2 D2 FROM 8D
053942,000457: 11,3164           44215                           DAD      BDSU                                  #  END UP WITH (1-7 COSPHI**2), B5
053943,000458: 11,3165           00011                                    8D                                    #  ADDING COSPHI**2 B4 SAME AS COSPHI**2
053944,000459:                                                                                                  #  X 2 D5
053945,000460: 11,3166           11043                                    D1/32                                 #  1 SCALED B5
053946,000461: 11,3167           41205                           DMP      DMP                                   
053947,000462: 11,3170           00017                                    URPV                                  #  X COMPONENT
053948,000463: 11,3171           27712                                    5/8                                   #  5 SCALED B3
053949,000464: 11,3172           56561                           VXSC     VSL5                                  #  AFTER SHIFT, SCALED B5
053950,000465: 11,3173           00017                                    URPV                                  #  VECTOR, B1.
053951,000466: 11,3174           77725                           PDDL                                           #  VECTOR INTO 8D, 10D, 12D, SCALED B5.
053952,000467:                                                                                                  #  GET 5 COSPHI**2 OUT OF 8D
053953,000468: 11,3175           43225                           DSU      DAD                                   
053954,000469: 11,3176           11043                                    D1/32                                 #  1 B5
053955,000470: 11,3177           00011                                    8D                                    #  X COMPONENT (SAME AS MULTIPLYING
053956,000471:                                                                                                  #  BY UNITX)
053957,000472: 11,3200           14011                           STODL    8D                                    
053958,000473: 11,3201           00017                                    URPV                                  #  X COMPONENT
053959,000474: 11,3202           41205                           DMP      DMP                                   
053960,000475: 11,3203           00023                                    URPV       +4                         #  Z COMPONENT
053961,000476: 11,3204           27712                                    5/8                                   #  5 B3 ANSWER B5
053962,000477: 11,3205           43352                           SL1      DAD                                   #  FROM 12D FOR Z COMPONENT (SL1 GIVES 10
053963,000478:                                                                                                  #  INSTEAD OF 5 FOR COEFFICIENT)
053964,000479: 11,3206           60325                           PDDL     NORM                                  #  BACK INTO 12D FOR Z COMPONENT.
053965,000480: 11,3207           02070                                    ALPHAM                                #  SCALED B27 FOR MOON
053966,000481: 11,3210           00050                                    X2                                    
053967,000482: 11,3211           67206                           PUSH     SLOAD                                 #  STORE IN 14D, DESTROYING URPV
053968,000483:                                                                                                  #  X COMPONENT
053969,000484: 11,3212           01354                                    E32C31RM                              
053970,000485: 11,3213           74271                           DDV      VXSC                                  #  IF X2 = 0, DIVISION GIVES B53, VXSC
053971,000486:                                                                                                  #  OUT OF 8D B5 GIVES B58
053972,000487: 11,3214           53257                           VSL*     VAD                                   #  SHIFT MAKES B61, FOR ADDITION OF 
053973,000488:                                                                                                  #  VECTOR IN 2D
053974,000489: 11,3215           57601                                    0          -3,2                       
053975,000490: 11,3216           70257                           VSL*     V/SC                                  #  OPERAND FROM 0D, B108 FOR X1 = 0
053976,000491: 11,3217           20146                                    0          -27D,1                     #  FOR X1 = 0, MAKES B88, GIVING B-20
053977,000492:                                                                                                  #  FOR RESULT.
053978,000493: 11,3220           65325                           PDDL     PDDL                                  
053979,000494: 11,3221           01517                                    TET                                   
053980,000495: 11,3222           27712                                    5/8                                   #  ANY NON-ZERO CONSTANT
053981,000496: 11,3223           45154                           LXA,2    CALL                                  #  POSITION IN 0D, TIME IN 6D.  X2 LEFT
053982,000497:                                                                                                  #  ALONE.
053983,000498: 11,3224           02030                                    PBODY                                 
053984,000499: 11,3225           55716                                    RP-TO-R                               
053985,000500: 11,3226           40055                           VAD      BOV                                   #  OVERFLOW INDICATOR RESET IN "RP-TO-R"
053986,000501: 11,3227           02062                                    FV                                    
053987,000502: 11,3230           22774                                    GOBAQUE                               

Page 1237

053989,000504: 11,3231           02062                           STORE    FV                                    
053990,000505: 11,3232           72135        NBRANCH            SLOAD    LXA,1                                 
053991,000506: 11,3233           01501                                    DIFEQCNT                              
053992,000507: 11,3234           00154                                    MPAC                                  
053993,000508: 11,3235           73205                           DMP      CGOTO                                 
053994,000509: 11,3236           27714                                    -1/12                                 
053995,000510: 11,3237           00155                                    MPAC                                  
053996,000511: 11,3240           23247                                    DIFEQTAB                              
053997,000512: 11,3241           77745        COSPHIE            DLOAD                                          
053998,000513: 11,3242           02036                                    ALPHAV     +4                         
053999,000514: 11,3243           24023                           STOVL    COSPHI/2                              
054000,000515: 11,3244           24001                                    ZUNIT                                 
054001,000516: 11,3245           77650                           GOTO                                           
054002,000517: 11,3246           23052                                    COMTERM                               
054003,000518: 11,3247           23466        DIFEQTAB           CADR     DIFEQ+0                               
054004,000519: 11,3250           23472                           CADR     DIFEQ+1                               
054005,000520: 11,3251           23503                           CADR     DIFEQ+2                               
054006,000521: 11,3252           77214        TIMESTEP           BOF      VLOAD                                 
054007,000522: 11,3253           00342                                    MIDFLAG                               
054008,000523: 11,3254           23303                                    RECTEST                               
054009,000524: 11,3255           01535                                    RCV                                   
054010,000525: 11,3256           41241                           DOT      DMP                                   
054011,000526: 11,3257           01543                                    VCV                                   
054012,000527: 11,3260           02076                                    DT/2                                  #  (R.V) X (DELTA T)
054013,000528: 11,3261           77640                           BMN                                            
054014,000529: 11,3262           23303                                    RECTEST                               
054015,000530: 11,3263           43014                           BON      BOF                                   
054016,000531: 11,3264           00303                                    MOONFLAG                              
054017,000532: 11,3265           23360                                    LUNSPH                                
054018,000533: 11,3266           04340                                    RPQFLAG                               
054019,000534: 11,3267           23355                                    EARSPH                                
054020,000535: 11,3270           45145                           DLOAD    CALL                                  
054021,000536: 11,3271           01517                                    TET                                   
054022,000537: 11,3272           33664                                    LSPOS                                 #  RPQV IN MPAC
054023,000538: 11,3273           02105                           STORE    RPQV                                  #  RPQV
054024,000539: 11,3274           77754                           LXA,2                                          
054025,000540: 11,3275           02030                                    PBODY                                 
054026,000541: 11,3276           51445        INLUNCHK           BVSU     ABVAL                                 
054027,000542: 11,3277           01535                                    RCV                                   
054028,000543: 11,3300           50025                           DSU      BMN                                   
054029,000544: 11,3301           27720                                    RSPHERE                               
054030,000545: 11,3302           23375                                    DOSWITCH                              
054031,000546: 11,3303           51575        RECTEST            VLOAD    ABVAL                                 #  RECTIFY IF
054032,000547: 11,3304           01521                                    TDELTAV                               
054033,000548: 11,3305           77600                           BOV                                            
054034,000549: 11,3306           23331                                    CALLRECT                              
054035,000550: 11,3307           51025                           DSU      BPL                                   #        1) EITHER TDELTAV OR TNUV EQUALS OR
054036,000551: 11,3310           25764                                    3/4                                   #           EXCEEDS 3/4 IN MAGNITUDE
054037,000552: 11,3311           23331                                    CALLRECT                              
054038,000553: 11,3312           53615                           DAD      SL*                                   #                        OR

Page 1238

054040,000555: 11,3313           25764                                    3/4                                   
054041,000556: 11,3314           57605                                    0          -7,2                       #        2) ABVAL(TDELTAV) EQUALS OR EXCEEDS
054042,000557: 11,3315           45271                           DDV      DSU                                   #           .01(ABVAL(RCV))
054043,000558: 11,3316           00013                                    10D                                   
054044,000559: 11,3317           27716                                    RECRATIO                              
054045,000560: 11,3320           77244                           BPL      VLOAD                                 
054046,000561: 11,3321           23331                                    CALLRECT                              
054047,000562: 11,3322           01527                                    TNUV                                  
054048,000563: 11,3323           45246                           ABVAL    DSU                                   
054049,000564: 11,3324           25764                                    3/4                                   
054050,000565: 11,3325           77600                           BOV                                            
054051,000566: 11,3326           23331                                    CALLRECT                              
054052,000567: 11,3327           77640                           BMN                                            
054053,000568: 11,3330           23333                                    INTGRATE                              
054054,000569: 11,3331           77624        CALLRECT           CALL                                           
054055,000570: 11,3332           23441                                    RECTIFY                               
054056,000571: 11,3333           77775        INTGRATE           VLOAD                                          
054057,000572: 11,3334           01527                                    TNUV                                  
054058,000573: 11,3335           25135                           STOVL    ZV                                    
054059,000574: 11,3336           01521                                    TDELTAV                               
054060,000575: 11,3337           01127                           STORE    YV                                    
054061,000576: 11,3340           77614                           CLEAR                                          
054062,000577: 11,3341           00261                                    JSWITCH                               
054063,000578: 11,3342           66375        DIFEQ0             VLOAD    SSP                                   
054064,000579: 11,3343           01127                                    YV                                    
054065,000580: 11,3344           01501                                    DIFEQCNT                              
054066,000581: 11,3345           00000                                    0                                     
054067,000582: 11,3346           16032                           STODL    ALPHAV                                
054068,000583: 11,3347           24007                                    DPZERO                                
054069,000584: 11,3350           02100                           STORE    H                                     #  START H AT ZERO.  GOES 0(DELT/2)DELT.
054070,000585: 11,3351           52014                           BON      GOTO                                  
054071,000586: 11,3352           00301                                    JSWITCH                               
054072,000587: 11,3353           23705                                    DOW..                                 
054073,000588: 11,3354           22516                                    ACCOMP                                
054074,000589: 11,3355           52175        EARSPH             VLOAD    GOTO                                  
054075,000590: 11,3356           02105                                    RPQV                                  
054076,000591: 11,3357           23276                                    INLUNCHK                              
054077,000592: 11,3360           60545        LUNSPH             DLOAD    SR2                                   
054078,000593: 11,3361           00013                                    10D                                   
054079,000594: 11,3362           50025                           DSU      BMN                                   
054080,000595: 11,3363           27720                                    RSPHERE                               
054081,000596: 11,3364           23303                                    RECTEST                               
054082,000597: 11,3365           71214                           BOF      DLOAD                                 
054083,000598: 11,3366           04340                                    RPQFLAG                               
054084,000599: 11,3367           23375                                    DOSWITCH                              
054085,000600: 11,3370           01517                                    TET                                   
054086,000601: 11,3371           77624                           CALL                                           
054087,000602: 11,3372           33664                                    LUNPOS                                
054088,000603: 11,3373           77676                           VCOMP                                          
054089,000604: 11,3374           02105                           STORE    RPQV                                  

Page 1239

054091,000606: 11,3375           77624        DOSWITCH           CALL                                           
054092,000607: 11,3376           23401                                    ORIGCHNG                              
054093,000608: 11,3377           77650                           GOTO                                           
054094,000609: 11,3400           23333                                    INTGRATE                              
054095,000610: 11,3401           45020        ORIGCHNG           STQ      CALL                                  
054096,000611: 11,3402           02112                                    ORIGEX                                
054097,000612: 11,3403           23441                                    RECTIFY                               
054098,000613: 11,3404           53775                           VLOAD    VSL*                                  
054099,000614: 11,3405           01535                                    RCV                                   
054100,000615: 11,3406           57576                                    0,2                                   
054101,000616: 11,3407           53651                           VSU      VSL*                                  
054102,000617: 11,3410           02105                                    RPQV                                  
054103,000618: 11,3411           57574                                    2,2                                   
054104,000619: 11,3412           01503                           STORE    RRECT                                 
054105,000620: 11,3413           15535                           STODL    RCV                                   
054106,000621: 11,3414           01517                                    TET                                   
054107,000622: 11,3415           77624                           CALL                                           
054108,000623: 11,3416           33775                                    LUNVEL                                
054109,000624: 11,3417           57414                           BOF      VCOMP                                 
054110,000625: 11,3420           00343                                    MOONFLAG                              
054111,000626: 11,3421           23422                                    +1                                    
054112,000627: 11,3422           53715                           PDVL     VSL*                                  
054113,000628: 11,3423           01543                                    VCV                                   
054114,000629: 11,3424           57576                                    0,2                                   
054115,000630: 11,3425           77651                           VSU                                            
054116,000631: 11,3426           77657                           VSL*                                           
054117,000632: 11,3427           57574                                    0          +2,2                       
054118,000633: 11,3430           01511                           STORE    VRECT                                 
054119,000634: 11,3431           01543                           STORE    VCV                                   
054120,000635: 11,3432           67154                           LXA,2    SXA,2                                 
054121,000636: 11,3433           02112                                    ORIGEX                                
054122,000637: 11,3434           00052                                    QPRET                                 
054123,000638: 11,3435           52014                           BON      GOTO                                  
054124,000639: 11,3436           00303                                    MOONFLAG                              
054125,000640: 11,3437           26711                                    CLRMOON                               
054126,000641: 11,3440           26716                                    SETMOON                               

Page 1240

054128,000643:                                                                                                  #  THE RECTIFY SUBROUTINE IS CALLED BY THE INTEGRATION PROGRAM AND OCCASIONALLY BY THE MEASUREMENT INCORPORATION
054129,000644:                                                                                                  #  ROUTINES TO ESTABLISH A NEW CONIC.
054130,000645: 
054131,000646: 11,3441           77354        RECTIFY            LXA,2    VLOAD                                 
054132,000647: 11,3442           02030                                    PBODY                                 
054133,000648: 11,3443           01521                                    TDELTAV                               
054134,000649: 11,3444           53257                           VSL*     VAD                                   
054135,000650: 11,3445           57605                                    0          -7,2                       
054136,000651: 11,3446           01535                                    RCV                                   
054137,000652: 11,3447           01503                           STORE    RRECT                                 
054138,000653: 11,3450           25535                           STOVL    RCV                                   
054139,000654: 11,3451           01527                                    TNUV                                  
054140,000655: 11,3452           53257                           VSL*     VAD                                   
054141,000656: 11,3453           57602                                    0          -4,2                       
054142,000657: 11,3454           01543                                    VCV                                   
054143,000658: 11,3455           01511        MINIRECT           STORE    VRECT                                 
054144,000659: 11,3456           25543                           STOVL    VCV                                   
054145,000660: 11,3457           24007                                    ZEROVEC                               
054146,000661: 11,3460           01521                           STORE    TDELTAV                               
054147,000662: 11,3461           15527                           STODL    TNUV                                  
054148,000663: 11,3462           24007                                    ZEROVEC                               
054149,000664: 11,3463           01551                           STORE    TC                                    
054150,000665: 11,3464           01553                           STORE    XKEP                                  
054151,000666: 11,3465           77616                           RVQ                                            
054152,000667: 

Page 1241

054154,000669:                                                                                                  #  THE THREE DIFEQ ROUTINES - DIFEQ+0, DIFEQ+12, AND DIFEQ+24 - ARE ENTERED TO PROCESS THE CONTRIBUTIONS AT THE
054155,000670:                                                                                                  #  BEGINNING, MIDDLE, AND END OF THE TIMESTEP, RESPECTIVELY.  THE UPDATING IS DONE BY THE NYSTROM METHOD.
054156,000671: 
054157,000672: 11,3466           64575        DIFEQ+0            VLOAD    VSR3                                  
054158,000673: 11,3467           02062                                    FV                                    
054159,000674: 11,3470           36046                           STCALL   PHIV                                  
054160,000675: 11,3471           23646                                    DIFEQCOM                              
054161,000676: 11,3472           74575        DIFEQ+1            VLOAD    VSR1                                  
054162,000677: 11,3473           02062                                    FV                                    
054163,000678: 11,3474           53206                           PUSH     VAD                                   
054164,000679: 11,3475           02046                                    PHIV                                  
054165,000680: 11,3476           26054                           STOVL    PSIV                                  
054166,000681: 11,3477           53362                           VSR1     VAD                                   
054167,000682: 11,3500           02046                                    PHIV                                  
054168,000683: 11,3501           36046                           STCALL   PHIV                                  
054169,000684: 11,3502           23646                                    DIFEQCOM                              
054170,000685: 11,3503           57345        DIFEQ+2            DLOAD    DMPR                                  
054171,000686: 11,3504           02100                                    H                                     
054172,000687: 11,3505           25774                                    DP2/3                                 
054173,000688: 11,3506           74206                           PUSH     VXSC                                  
054174,000689: 11,3507           02046                                    PHIV                                  
054175,000690: 11,3510           53372                           VSL1     VAD                                   
054176,000691: 11,3511           01135                                    ZV                                    
054177,000692: 11,3512           53361                           VXSC     VAD                                   
054178,000693: 11,3513           02100                                    H                                     
054179,000694: 11,3514           01127                                    YV                                    
054180,000695: 11,3515           25127                           STOVL    YV                                    
054181,000696: 11,3516           02062                                    FV                                    
054182,000697: 11,3517           53322                           VSR3     VAD                                   
054183,000698: 11,3520           02054                                    PSIV                                  
054184,000699: 11,3521           76561                           VXSC     VSL1                                  
054185,000700: 11,3522           77655                           VAD                                            
054186,000701: 11,3523           01135                                    ZV                                    
054187,000702: 11,3524           01135                           STORE    ZV                                    
054188,000703: 11,3525           45014                           BOFF     CALL                                  
054189,000704: 11,3526           00341                                    JSWITCH                               
054190,000705: 11,3527           23577                                    ENDSTATE                              
054191,000706: 11,3530           11244                                    GRP2PC                                
054192,000707: 11,3531           77354                           LXA,2    VLOAD                                 
054193,000708: 11,3532           01117                                    COLREG                                
054194,000709: 11,3533           01135                                    ZV                                    
054195,000710: 11,3534           77732                           VSL3                                           #  ADJUST W-POSITION FOR STORAGE
054196,000711: 11,3535           12467                           STORE    W          +54D,2                     
054197,000712: 11,3536           77775                           VLOAD                                          
054198,000713: 11,3537           01127                                    YV                                    
054199,000714: 11,3540           40132                           VSL3     BOV                                   
054200,000715: 11,3541           23671                                    WMATEND                               
054201,000716: 11,3542           12401                           STORE    W,2                                   
054202,000717: 
054203,000718: 11,3543           77624                           CALL                                           
054204,000719: 11,3544           11244                                    GRP2PC                                

Page 1242

054206,000721: 11,3545           66354                           LXA,2    SSP                                   
054207,000722: 11,3546           01117                                    COLREG                                
054208,000723: 11,3547           00052                                    S2                                    
054209,000724: 11,3550           00000                                    0                                     
054210,000725: 11,3551           67114                           INCR,2   SXA,2                                 
054211,000726: 11,3552           00006                                    6                                     
054212,000727: 11,3553           01126                                    YV                                    
054213,000728: 11,3554           45104                           TIX,2    CALL                                  
054214,000729: 11,3555           23642                                    RELOADSV                              
054215,000730: 11,3556           11244                                    GRP2PC                                
054216,000731: 11,3557           67154                           LXA,2    SXA,2                                 
054217,000732: 11,3560           01126                                    YV                                    
054218,000733: 11,3561           01117                                    COLREG                                
054219,000734: 
054220,000735: 11,3562           77624        NEXTCOL            CALL                                           
054221,000736: 11,3563           11244                                    GRP2PC                                
054222,000737: 11,3564           76754                           LXA,2    VLOAD*                                
054223,000738: 11,3565           01117                                    COLREG                                
054224,000739: 11,3566           75376                                    W,2                                   
054225,000740: 11,3567           77722                           VSR3                                           #  ADJUST W-POSITION FOR INTEGRATION
054226,000741: 11,3570           01127                           STORE    YV                                    
054227,000742: 11,3571           76173                           VLOAD*   AXT,1                                 
054228,000743: 11,3572           75310                                    W          +54D,2                     
054229,000744: 11,3573           00000                                    0                                     
054230,000745: 11,3574           77722                           VSR3                                           #  ADJUST W-VELOCITY FOR INTEGRATION
054231,000746: 11,3575           35135                           STCALL   ZV                                    
054232,000747: 11,3576           23342                                    DIFEQ0                                
054233,000748: 
054234,000749: 11,3577           77200        ENDSTATE           BOV      VLOAD                                 
054235,000750: 11,3600           22774                                    GOBAQUE                               
054236,000751: 11,3601           01135                                    ZV                                    
054237,000752: 11,3602           25527                           STOVL    TNUV                                  
054238,000753: 11,3603           01127                                    YV                                    
054239,000754: 11,3604           01521                           STORE    TDELTAV                               
054240,000755: 11,3605           43014                           BON      BOFF                                  
054241,000756: 11,3606           04715                                    MIDAVFLG                              
054242,000757: 11,3607           27633                                    CKMID2                                #  CHECK FOR MID2 BEFORE GOING TO TIMEINC
054243,000758: 11,3610           01756                                    DIM0FLAG                              
054244,000759: 11,3611           27257                                    TESTLOOP                              
054245,000760: 11,3612           77776                           EXIT                                           
054246,000761: 11,3613           05353                           TC       PHASCHNG                              
054247,000762: 11,3614           04022                           OCT      04022                                 #  PHASE 1
054248,000763: 11,3615           05504                           TC       UPFLAG                                #  PHASE CHANGE HAS OCCURRED BETWEEN
054249,000764: 11,3616           00236                           ADRES    REINTFLG                              #  INTSTALL AND INTWAKE
054250,000765: 11,3617           06037                           TC       INTPRET                               
054251,000766: 11,3620           77731                           SSP                                            
054252,000767: 11,3621           00053                                    QPRET                                 
054253,000768: 11,3622           23627                                    AMOVED                                
054254,000769: 11,3623           52014                           BON      GOTO                                  
054255,000770: 11,3624           01714                                    VINTFLAG                              

Page 1243

054257,000772: 11,3625           26661                                    ATOPCSM                               
054258,000773: 11,3626           26734                                    ATOPLEM                               
054259,000774: 11,3627           66214        AMOVED             SET      SSP                                   
054260,000775: 11,3630           00061                                    JSWITCH                               
054261,000776: 11,3631           01120                                    COLREG                                
054262,000777: 11,3632           77741                           DEC      -30        B-14                       
054263,000778: 11,3633           66214                           BOFF     SSP                                   
054264,000779: 11,3634           01755                                    D6OR9FLG                              
054265,000780: 11,3635           23562                                    NEXTCOL                               
054266,000781: 11,3636           01120                                    COLREG                                
054267,000782: 11,3637           77717                           DEC      -48        B-14                       
054268,000783: 11,3640           77650                           GOTO                                           
054269,000784: 11,3641           23562                                    NEXTCOL                               
054270,000785: 
054271,000786: 11,3642           77745        RELOADSV           DLOAD                                          #  RELOAD TEMPORARY STATE VECTOR
054272,000787: 11,3643           01116                                    TDEC                                  #  FROM PERMANENT IN CASE OF
054273,000788: 11,3644           34041                           STCALL   TDEC1                                 
054274,000789: 11,3645           27141                                    INTEGRV2                              #  BY STARTING AT INTEGRV2.
054275,000790: 11,3646           43345        DIFEQCOM           DLOAD    DAD                                   #  INCREMENT H AND DIFEQCNT.
054276,000791: 11,3647           02076                                    DT/2                                  
054277,000792: 11,3650           02100                                    H                                     
054278,000793: 11,3651           66110                           INCR,1   SXA,1                                 
054279,000794: 11,3652           77763                           DEC      -12        B-14                       
054280,000795: 11,3653           01500                                    DIFEQCNT                              #  DIFEQCNT SET FOR NEXT ENTRY.
054281,000796: 11,3654           02100                           STORE    H                                     
054282,000797: 11,3655           74561                           VXSC     VSR1                                  
054283,000798: 11,3656           02062                                    FV                                    
054284,000799: 11,3657           74255                           VAD      VXSC                                  
054285,000800: 11,3660           01135                                    ZV                                    
054286,000801: 11,3661           02100                                    H                                     
054287,000802: 11,3662           77655                           VAD                                            
054288,000803: 11,3663           01127                                    YV                                    
054289,000804: 11,3664           02032                           STORE    ALPHAV                                
054290,000805: 11,3665           52014                           BON      GOTO                                  
054291,000806: 11,3666           00301                                    JSWITCH                               
054292,000807: 11,3667           23705                                    DOW..                                 
054293,000808: 11,3670           22476                                    FBR3                                  
054294,000809: 
054295,000810: 11,3671           43014        WMATEND            CLEAR    CLEAR                                 
054296,000811: 11,3672           01676                                    DIM0FLAG                              #  DONT INTEGRATE W THIS TIME
054297,000812: 11,3673           01671                                    ORBWFLAG                              #  INVALIDATE W
054298,000813: 11,3674           77614                           CLEAR                                          
054299,000814: 11,3675           02676                                    RENDWFLG                              
054300,000815: 11,3676           77414                           SET      EXIT                                  
054301,000816: 11,3677           01472                                    STATEFLG                              #  PICK UP STATE VECTOR UPDATE
054302,000817: 11,3700           05567                           TC       ALARM                                 
054303,000818: 11,3701           00421                           OCT      421                                   
054304,000819: 11,3702           06037                           TC       INTPRET                               

Page 1244

054306,000821: 11,3703           77650                           GOTO                                           
054307,000822: 11,3704           27257                                    TESTLOOP                              #  FINISH INTEGRATING STATE VECTOR
054308,000823: 

Page 1245

054310,000825:                                                                                                  #  ORBITAL ROUTINE FOR EXTRAPOLATION OF THE W MATRIX.  IT COMPUTES THE SECOND DERIVATIVE OF EACH COLUMN POSITION
054311,000826:                                                                                                  #  VECTOR OF THE MATRIX AND CALLS THE NYSTROM INTEGRATION ROUTINES TO SOLVE THE DIFFERENTIAL EQUATIONS.  THE PROGRAM
054312,000827:                                                                                                  #  USES A TABLE OF VEHICLE POSITION VECTORS COMPUTED DURING THE INTEGRATION OF THE VEHICLES POSITION AND VELOCITY.
054313,000828: 
054314,000829: 11,3705           70754        DOW..              LXA,2    DLOAD*                                
054315,000830: 11,3706           02030                                    PBODY                                 
054316,000831: 11,3707           51770                                    MUEARTH,2                             
054317,000832: 11,3710           36072                           STCALL   BETAM                                 
054318,000833: 11,3711           23733                                    DOW..1                                
054319,000834: 11,3712           02062                           STORE    FV                                    
054320,000835: 11,3713           62014                           BOF      INCR,1                                
054321,000836: 11,3714           00342                                    MIDFLAG                               
054322,000837: 11,3715           23232                                    NBRANCH                               
054323,000838: 11,3716           77771                           DEC      -6         B-14                       
054324,000839: 11,3717           70744                           LXC,2    DLOAD*                                
054325,000840: 11,3720           02030                                    PBODY                                 
054326,000841: 11,3721           51772                                    MUEARTH    -2,2                       
054327,000842: 11,3722           36072                           STCALL   BETAM                                 
054328,000843: 11,3723           23733                                    DOW..1                                
054329,000844: 11,3724           50414                           BON      VSR6                                  
054330,000845: 11,3725           00303                                    MOONFLAG                              
054331,000846: 11,3726           23727                                    +1                                    
054332,000847: 11,3727           77655                           VAD                                            
054333,000848: 11,3730           02062                                    FV                                    
054334,000849: 11,3731           36062                           STCALL   FV                                    
054335,000850: 11,3732           23232                                    NBRANCH                               
054336,000851: 11,3733           60575        DOW..1             VLOAD    VSR4                                  
054337,000852: 11,3734           02032                                    ALPHAV                                
054338,000853: 11,3735           53513                           PDVL*    UNIT                                  
054339,000854: 11,3736           02132                                    VECTAB,1                              
054340,000855: 11,3737           46315                           PDVL     VPROJ                                 
054341,000856: 11,3740           02032                                    ALPHAV                                
054342,000857: 11,3741           52361                           VXSC     VSU                                   
054343,000858: 11,3742           25764                                    3/4                                   
054344,000859: 11,3743           60325                           PDDL     NORM                                  
054345,000860: 11,3744           00045                                    36D                                   
054346,000861: 11,3745           00052                                    S2                                    
054347,000862: 11,3746           63406                           PUSH     DSQ                                   
054348,000863: 11,3747           77605                           DMP                                            
054349,000864: 11,3750           65301                           NORM     PDDL                                  
054350,000865: 11,3751           00043                                    34D                                   
054351,000866: 11,3752           02072                                    BETAM                                 
054352,000867: 11,3753           56342                           SR1      DDV                                   
054353,000868: 11,3754           77761                           VXSC                                           
054354,000869: 11,3755           57154                           LXA,2    XAD,2                                 
054355,000870: 11,3756           00051                                    S2                                    
054356,000871: 11,3757           00051                                    S2                                    
054357,000872: 11,3760           57074                           XAD,2    XAD,2                                 
054358,000873: 11,3761           00051                                    S2                                    
054359,000874: 11,3762           00042                                    34D                                   
054360,000875: 11,3763           43457                           VSL*     RVQ                                   

Page 1246

054362,000877: 11,3764           57606                                    0          -8D,2                      
054363,000878: 
054364,000879:                                                                                                  #  ****************************************************************************************************************
054365,000880:                                                                                                  #  ****************************************************************************************************************
054366,000881: 11,3765           43131        SETITCTR           SSP      BOFF                                  #  SET ITERCTR FOR LAMBERT CALLS.  THIS
054367,000882: 11,3766           00027                                    ITERCTR                               #  CODING BELONGS IN INITVEL AND IS HERE
054368,000883: 11,3767           00024                                    20D                                   #  FOR PURPOSES OF A ONE-MODULE
054369,000884: 11,3770           03752                                    AVEGFLAG                              #  REMANUFACTURE ONLY.  CODING SHOULD
054370,000885: 11,3771           25212                                    LAMBERT                               #  BE MOVED BACK TO INITVEL FOR LUMINARY 1B
054371,000886: 11,3772           52131                           SSP      GOTO                                  
054372,000887: 11,3773           00027                                    ITERCTR                               
054373,000888: 11,3774           00005                                    5                                     
054374,000889: 11,3775           25212                                    LAMBERT                               
054375,000890:                                                                                                  #  ****************************************************************************************************************
054376,000891:                                                                                                  #  ****************************************************************************************************************
054377,000892: 
054378,000893: 12,2000                                           SETLOC   ORBITAL1                              
054379,000894: 12,2000                                           BANK                                           
054380,000895: 
054381,000896: 12,3745           04631 23146  3/5                2DEC     .6         B-2                        
054382,000897: 
054383,000898: 12,3747           14000 00000  THREE/8            2DEC     .375                                  
054384,000899: 
054385,000900: 12,3751           02314 31463  .3D                2DEC     .3         B-2                        
054386,000901: 
054387,000902: 12,3753           01400 00000  3/64               2DEC     3          B-6                        
054388,000903: 
054389,000904: 12,3755           10000 00000  DP1/4              2DEC     .25                                   
054390,000905: 
054391,000906: 12,3757  12,3755               DQUARTER           EQUALS   DP1/4                                 
054392,000907: 12,3757  12,3755               POS1/4             EQUALS   DP1/4                                 
054393,000908: 12,3757           03000 00000  3/32               2DEC     3          B-5                        
054394,000909: 
054395,000910: 12,3761           36000 00000  15/16              2DEC     15.        B-4                        
054396,000911: 
054397,000912: 12,3763           30000 00000  3/4                2DEC     3.0        B-2                        
054398,000913: 
054399,000914: 12,3765           22525 12525  7/12               2DEC     .5833333333                            
054400,000915: 
054401,000916: 12,3767           22000 00000  9/16               2DEC     9          B-4                        
054402,000917: 
054403,000918: 12,3771           01200 00000  5/128              2DEC     5          B-7                        
054404,000919: 
054405,000920: 12,3773  12,2006               DPZERO             EQUALS   ZEROVEC                               
054406,000921: 12,3773           25252 25253  DP2/3              2DEC     .6666666667                            
054407,000922: 
054408,000923: 12,3775  12,3773               2/3                EQUALS   DP2/3                                 
054409,000924: 12,3775           00027        OCT27              OCT      27                                    
054410,000925: 

Page 1247

054412,000927: 13,3675                                           BANK     13                                    
054413,000928: 13,2000                                           SETLOC   ORBITAL2                              
054414,000929: 13,2000                                           BANK                                           
054415,000930:                                                                                                  #  IT IS VITAL THAT THE FOLLOWING CONSTANTS NOT BE SHUFFLED
054416,000931: 13,3675           77764                           DEC      -11        B-14                       
054417,000932: 13,3676           77775                           DEC      -2         B-14                       
054418,000933: 13,3677           77766                           DEC      -9         B-14                       
054419,000934: 13,3700           77771                           DEC      -6         B-14                       
054420,000935: 13,3701           77775                           DEC      -2         B-14                       
054421,000936: 13,3702           77775                           DEC      -2         B-14                       
054422,000937: 13,3703           00000                           DEC      0          B-14                       
054423,000938: 13,3704           77763                           DEC      -12        B-14                       
054424,000939: 13,3705           77766                           DEC      -9         B-14                       
054425,000940: 13,3706           77773                           DEC      -4         B-14                       
054426,000941: 13,3707           77770        ASCALE             DEC      -7         B-14                       
054427,000942: 13,3710           77771                           DEC      -6         B-14                       
054428,000943: 13,3711           24000 00000  5/8                2DEC     5          B-3                        
054429,000944: 
054430,000945: 13,3713           74631 63145  -1/12              2DEC     -.1                                   
054431,000946: 
054432,000947: 13,3715           00243 32703  RECRATIO           2DEC     .01                                   
054433,000948: 
054434,000949: 13,3717           03654 21000  RSPHERE            2DEC     64373.76   E3         B-29            
054435,000950: 
054436,000951: 13,3721           03654 21000  RDM                2DEC     16093.44   E3         B-27            
054437,000952: 
054438,000953: 13,3723           04627 25200  RDE                2DEC     80467.20   E3         B-29            
054439,000954: 
054440,000955: 13,3725                        RATT               EQUALS   00                                    
054441,000956: 13,3725                        VATT               EQUALS   6D                                    
054442,000957: 13,3725                        TAT                EQUALS   12D                                   
054443,000958: 13,3725                        RATT1              EQUALS   14D                                   
054444,000959: 13,3725                        VATT1              EQUALS   20D                                   
054445,000960: 13,3725                        MU(P)              EQUALS   26D                                   
054446,000961: 13,3725                        TDEC1              EQUALS   32D                                   
054447,000962: 13,3725                        URPV               EQUALS   14D                                   
054448,000963: 13,3725     0022               COSPHI/2           EQUALS   URPV       +4                         
054449,000964: 13,3725                        UZ                 EQUALS   20D                                   
054450,000965: 13,3725                        TVEC               EQUALS   26D                                   
054451,000966: 
054452,000967: 13,3725           71214        QUALITY1           BOF      DLOAD                                 
054453,000968: 13,3726           00343                                    MOONFLAG                              
054454,000969: 13,3727           23232                                    NBRANCH                               
054455,000970: 13,3730           00017                                    URPV                                  
054456,000971: 13,3731           77716                           DSQ                                            
054457,000972: 13,3732           63525        QUALITY2           PDDL     DSQ                                   #  SQUARE INTO 2D, B2
054458,000973: 13,3733           00021                                    URPV       +2                         #  Y COMPONENT, B1
054459,000974: 13,3734           77625                           DSU                                            
054460,000975: 13,3735           74205                           DMP      VXSC                                  #  5(Y**2-X**2)UR
054461,000976: 13,3736           27712                                    5/8                                   #  CONSTANT, 5B3
054462,000977: 13,3737           00017                                    URPV                                  #  VECTOR.  RESULT MAXIMUM IS 5, SCALING

Page 1248

054464,000979:                                                                                                  #  HERE B6
054465,000980: 13,3740           65332                           VSL3     PDDL                                  #  STORE SCALED B3 IN 2D, 4D, 6D FOR XYZ
054466,000981: 13,3741           00017                                    URPV                                  #  X COMPONENT, B1
054467,000982: 13,3742           43342                           SR1      DAD                                   #  2 X X COMPONENT FOR B3 SCALING
054468,000983: 13,3743           00003                                    2D                                    #  ADD TO VECTOR X COMPONENT OF ANSWER,
054469,000984:                                                                                                  #  SAME AS MULTIPLYING BY UNITX.  MAX IS 7.
054470,000985: 13,3744           14003                           STODL    2D                                    
054471,000986: 13,3745           00021                                    URPV       +2                         #  Y COMPONENT, B1
054472,000987: 13,3746           44342                           SR1      BDSU                                  #  2 X Y COMPONENT FOR B3 SCALING
054473,000988: 13,3747           00005                                    4D                                    #  SUBTRACT FROM VECTOR Y COMPONENT OF
054474,000989:                                                                                                  #  ANSWER, SAME AS MULTIPLYING BY UNITY.
054475,000990:                                                                                                  #  MAX IS 7.
054476,000991: 13,3750           00005                           STORE    4D                                    #  2D HAS VECTOR, B3.
054477,000992: 13,3751           74335                           SLOAD    VXSC                                  #  MULTIPLY COEFFIECIENT TIMES VECTOR IN 2D
054478,000993: 13,3752           01353                                    E3J22R2M                              
054479,000994: 13,3753           43525                           PDDL     RVQ                                   #  J22 TERM X R**4 IN 2D, SCALED B61
054480,000995: 13,3754           00023                                    COSPHI/2                              #  SAME AS URPV +4  Z COMPONENT
054481,000996: 

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