Source Code

This is an attempt to recreate Luminary 99 Rev 2, otherwise known as LUM99R2, from Luminary 99 Rev 1 and ephemeris data from Luminary 116. The differences are confined to the last 10-12 lines of the CONTROLLED CONSTANTS. Luminary 99 Rev 1 source-code was transcribed from a printout in the MIT Museum, while Luminary 116 source code was transcribed from a printout belonging to Don Eyles. AGC developer James Kernan, the "rope mother" for the Apollo 11 Lunar Module's AGC, explains as follows: "At the last minute, Dan Lickly, our chief engineer, appeared with ephemerides updates and it took two tries to get it right. The result was that we created Lum99 Revision 1 and Lum99 Revision 2." It is suspected that the former is what's in the MIT Museum, and the latter is what we are trying to recreate here. As for which revision actually flew in Apollo 11, all of the other available surviving evidence points to Rev 1 rather than to Rev 2, so we're just not sure!

051555,000002:                                                                                                  ## Copyright:   Public domain.
051556,000003:                                                                                                  ## Filename:    ORBITAL_INTEGRATION.agc
051557,000004:                                                                                                  ## Purpose:     Part of the source code for Luminary 1A build 099.
051558,000005:                                                                                                  ##              It is part of the source code for the Lunar Module's (LM)
051559,000006:                                                                                                  ##              Apollo Guidance Computer (AGC), for Apollo 11.
051560,000007:                                                                                                  ## Assembler:   yaYUL
051561,000008:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
051562,000009:                                                                                                  ## Website:     www.ibiblio.org/apollo.
051563,000010:                                                                                                  ## Pages:       1227-1248
051564,000011:                                                                                                  ## Mod history: 2009-05-26 RSB  Adapted from the corresponding 
051565,000012:                                                                                                  ##                              Luminary131 file, using page 
051566,000013:                                                                                                  ##                              images from Luminary 1A.
051567,000014:                                                                                                  ##              2009-06-05 RSB  Fixed 3 typos.
051568,000015:                                                                                                  ##              2009-06-06 RSB  Page 1248 was missing entirely for some reason.
051569,000016:                                                                                                  ##              2009-06-07 RSB  Corrected a typo.
051570,000017:                                                                                                  ##              2016-12-17 RSB  Proofed text comments with octopus/ProoferComments
051571,000018:                                                                                                  ##                              and corrected the errors found.
051572,000019:                                                                                                  ##              2017-03-03 RSB  Snapshot of Luminary 99 Rev 1. 
051573,000020:                                                                                                  ##              2017-03-17 RSB  Comment-text fixes identified in diff'ing
051574,000021:                                                                                                  ##                              Luminary 99 vs Comanche 55.
051575,000022: 

Page 1227

051577,000024:                                                                                                  #  DELETE
051578,000025: 13,3675                                           BANK     13                                    
051579,000026: 11,2000                                           SETLOC   ORBITAL                               
051580,000027: 11,2000                                           BANK                                           
051581,000028: 11,2376                                           COUNT*   $$/ORBIT                              
051582,000029: 
051583,000030:                                                                                                  #  DELETE
051584,000031: 11,2376           40354        KEPPREP            LXA,2    SETPD                                 
051585,000032: 11,2377           02030                                    PBODY                                 
051586,000033: 11,2400           00001                                    0                                     
051587,000034: 11,2401           75543                           DLOAD*   SQRT                                  #  SQRT(MU) (+18 OR +15)         0D      PL 2D
051588,000035: 11,2402           51770                                    MUEARTH,2                             
051589,000036: 11,2403           53515                           PDVL     UNIT                                  #                                        PL 8D
051590,000037: 11,2404           01535                                    RCV                                   
051591,000038: 11,2405           60325                           PDDL     NORM                                  #  NORM R (+29 OR +27 - N1)      2D      PL 4D
051592,000039: 11,2406           00045                                    36D                                   
051593,000040: 11,2407           00047                                    X1                                    
051594,000041: 11,2410           77715                           PDVL                                           
051595,000042: 11,2411           65241                           DOT      PDDL                                  #  F*SQRT(MU) (+7 OR +5)         4D      PL 6D
051596,000043: 11,2412           01543                                    VCV                                   
051597,000044: 11,2413           02074                                    TAU.                                  #  (+28)
051598,000045: 11,2414           60225                           DSU      NORM                                  
051599,000046: 11,2415           01551                                    TC                                    
051600,000047: 11,2416           00051                                    S1                                    
051601,000048: 11,2417           77742                           SR1                                            
051602,000049: 11,2420           65271                           DDV      PDDL                                  
051603,000050: 11,2421           00003                                    2D                                    
051604,000051: 11,2422           41405                           DMP      PUSH                                  #  FS (+6 +N1-N2)                6D      PL 8D
051605,000052: 11,2423           00005                                    4D                                    
051606,000053: 11,2424           65316                           DSQ      PDDL                                  #  (FS)SQ (+12 +2(N1-N2))        8D      PL 10D
051607,000054: 11,2425           00005                                    4D                                    
051608,000055: 11,2426           64716                           DSQ      PDDL*                                 #  SSQ/MU (-2 OR +2(N1-N2))      10D     PL 12D
051609,000056: 11,2427           51770                                    MUEARTH,2                             
051610,000057: 11,2430           40442                           SR3      SR4                                   
051611,000058: 11,2431           47515                           PDVL     VSQ                                   #  PREALIGN MU (+43 OR +37)      12D     PL 14D
051612,000059: 11,2432           01543                                    VCV                                   
051613,000060: 11,2433           44205                           DMP      BDSU                                  #                                        PL 12D
051614,000061: 11,2434           00045                                    36D                                   
051615,000062: 11,2435           41271                           DDV      DMP                                   #                                        PL 10D
051616,000063: 11,2436           00003                                    2D                                    #  -(1/R-ALPHA) (+12 +3N1-2N2)
051617,000064: 11,2437           53605                           DMP      SL*                                   
051618,000065: 11,2440           25774                                    DP2/3                                 
051619,000066: 11,2441           20176                                    0          -3,1                       #  10L(1/R-ALPHA) (+13 +2(N1-N2))
051620,000067: 11,2442           43260                           XSU,1    DAD                                   #  2(FS)SQ - ETCETRA                     PL 8D
051621,000068: 11,2443           00050                                    S1                                    #  X1 = N2-N1
051622,000069: 11,2444           45257                           SL*      DSU                                   #  -FS+2(FS)SQ ETC (+6 +N1-N2)           PL 6D
051623,000070: 11,2445           20211                                    8D,1                                  
051624,000071: 11,2446           41205                           DMP      DMP                                   
051625,000072: 11,2447           00001                                    0D                                    
051626,000073: 11,2450           00005                                    4D                                    
051627,000074: 11,2451           53657                           SL*      SL*                                   

Page 1228

051629,000076: 11,2452           20211                                    8D,1                                  
051630,000077: 11,2453           20201                                    0,1                                   #  S(-FS(1-2FS)-1/6...) (+17 OR +16)
051631,000078: 11,2454           65215                           DAD      PDDL                                  #                                        PL 6D
051632,000079: 11,2455           01553                                    XKEP                                  
051633,000080: 11,2456           53605                           DMP      SL*                                   #  S(+17 OR +16)
051634,000081: 11,2457           00001                                    0D                                    
051635,000082: 11,2460           20202                                    1,1                                   
051636,000083: 11,2461           43204                           BOVB     DAD                                   
051637,000084: 11,2462           57753                                    TCDANZIG                              
051638,000085: 11,2463           77626                           STADR                                          
051639,000086: 11,2464           75647                           STORE    XKEPNEW                               
051640,000087: 11,2465           74020                           STQ      AXC,1                                 
051641,000088: 11,2466           02112                                    KEPRTN                                
051642,000089: 11,2467           00012                           DEC      10         B-14                       
051643,000090: 11,2470           74014                           BON      AXC,1                                 
051644,000091: 11,2471           00303                                    MOONFLAG                              
051645,000092: 11,2472           24023                                    KEPLERN                               
051646,000093: 11,2473           00002                           DEC      2          B-14                       
051647,000094: 11,2474           77650                           GOTO                                           
051648,000095: 11,2475           24023                                    KEPLERN                               
051649,000096: 

Page 1229

051651,000098: 11,2476           66350        FBR3               LXA,1    SSP                                   
051652,000099: 11,2477           01500                                    DIFEQCNT                              
051653,000100: 11,2500           00051                                    S1                                    
051654,000101: 11,2501           77762                           DEC      -13        B-14                       
051655,000102: 11,2502           54345                           DLOAD    SR                                    
051656,000103: 11,2503           02076                                    DT/2                                  
051657,000104: 11,2504           20612                                    9D                                    
051658,000105: 11,2505           61500                           TIX,1    ROUND                                 
051659,000106: 11,2506           22507                                    +1                                    
051660,000107: 11,2507           43206                           PUSH     DAD                                   
051661,000108: 11,2510           01551                                    TC                                    
051662,000109: 11,2511           16074                           STODL    TAU.                                  
051663,000110: 11,2512           77615                           DAD                                            
051664,000111: 11,2513           01517                                    TET                                   
051665,000112: 11,2514           35517                           STCALL   TET                                   
051666,000113: 11,2515           22376                                    KEPPREP                               
051667,000114: 

Page 1230

051669,000116:                                                                                                  #  AGC ROUTINE TO COMPUTE ACCELERATION COMPONENTS.
051670,000117: 
051671,000118: 11,2516           73150        ACCOMP             LXA,1    LXA,2                                 
051672,000119: 11,2517           02030                                    PBODY                                 
051673,000120: 11,2520           02030                                    PBODY                                 
051674,000121: 11,2521           77775                           VLOAD                                          
051675,000122: 11,2522           24007                                    ZEROVEC                               
051676,000123: 11,2523           26062                           STOVL    FV                                    
051677,000124: 11,2524           02032                                    ALPHAV                                
051678,000125: 11,2525           53257                           VSL*     VAD                                   
051679,000126: 11,2526           57605                                    0          -7,2                       
051680,000127: 11,2527           01535                                    RCV                                   
051681,000128: 11,2530           02040                           STORE    BETAV                                 
051682,000129: 11,2531           65014                           BOF      XCHX,2                                
051683,000130: 11,2532           01756                                    DIM0FLAG                              
051684,000131: 11,2533           22540                                    +5                                    
051685,000132: 11,2534           01500                                    DIFEQCNT                              
051686,000133: 11,2535           12132                           STORE    VECTAB,2                              
051687,000134: 11,2536           77724                           XCHX,2                                         
051688,000135: 11,2537           01500                                    DIFEQCNT                              
051689,000136: 11,2540           53575                           VLOAD    UNIT                                  
051690,000137: 11,2541           02032                                    ALPHAV                                
051691,000138: 11,2542           16032                           STODL    ALPHAV                                
051692,000139: 11,2543           00045                                    36D                                   
051693,000140: 11,2544           02070                           STORE    ALPHAM                                
051694,000141: 11,2545           77624                           CALL                                           
051695,000142: 11,2546           22650                                    GAMCOMP                               
051696,000143: 11,2547           66175                           VLOAD    SXA,1                                 
051697,000144: 11,2550           02040                                    BETAV                                 
051698,000145: 11,2551           00051                                    S2                                    
051699,000146: 11,2552           16032                           STODL    ALPHAV                                
051700,000147: 11,2553           02072                                    BETAM                                 
051701,000148: 11,2554           02070                           STORE    ALPHAM                                
051702,000149: 11,2555           71214                           BOF      DLOAD                                 
051703,000150: 11,2556           00342                                    MIDFLAG                               
051704,000151: 11,2557           23022                                    OBLATE                                
051705,000152: 11,2560           01517                                    TET                                   
051706,000153: 11,2561           77624                           CALL                                           
051707,000154: 11,2562           33664                                    LSPOS                                 
051708,000155: 11,2563           72174                           AXT,2    LXA,1                                 
051709,000156: 11,2564           00002                                    2                                     
051710,000157: 11,2565           00051                                    S2                                    
051711,000158: 11,2566           77614                           BOF                                            
051712,000159: 11,2567           00343                                    MOONFLAG                              
051713,000160: 11,2570           22573                                    +3                                    
051714,000161: 11,2571           77076                           VCOMP    AXT,2                                 
051715,000162: 11,2572           00000                                    0                                     
051716,000163: 11,2573           02040                           STORE    BETAV                                 
051717,000164: 11,2574           26105                           STOVL    RPQV                                  

Page 1231

051719,000166: 11,2575           00003                                    2D                                    
051720,000167: 11,2576           02122                           STORE    RPSV                                  
051721,000168: 11,2577           45335                           SLOAD    DSU                                   
051722,000169: 11,2600           01012                                    MODREG                                
051723,000170: 11,2601           25776                                    OCT27                                 
051724,000171: 11,2602           43030                           BHIZ     BOF                                   
051725,000172: 11,2603           22606                                    +3                                    
051726,000173: 11,2604           01756                                    DIM0FLAG                              
051727,000174: 11,2605           22622                                    GETRPSV                               
051728,000175: 11,2606           74375                           VLOAD    VXSC                                  
051729,000176: 11,2607           02032                                    ALPHAV                                
051730,000177: 11,2610           02070                                    ALPHAM                                
051731,000178: 11,2611           52257                           VSR*     VSU                                   
051732,000179: 11,2612           57175                                    1,2                                   
051733,000180: 11,2613           02040                                    BETAV                                 
051734,000181: 11,2614           77724                           XCHX,2                                         
051735,000182: 11,2615           01500                                    DIFEQCNT                              
051736,000183: 11,2616           12140                           STORE    VECTAB     +6,2                       
051737,000184: 11,2617           02114                           STORE    RQVV                                  
051738,000185: 11,2620           77724                           XCHX,2                                         
051739,000186: 11,2621           01500                                    DIFEQCNT                              
051740,000187: 11,2622           62175        GETRPSV            VLOAD    INCR,1                                
051741,000188: 11,2623           02105                                    RPQV                                  
051742,000189: 11,2624           00004                                    4                                     
051743,000190: 11,2625           43014                           CLEAR    BOF                                   
051744,000191: 11,2626           04260                                    RPQFLAG                               
051745,000192: 11,2627           00343                                    MOONFLAG                              
051746,000193: 11,2630           22635                                    +5                                    
051747,000194: 11,2631           53261                           VSR      VAD                                   
051748,000195: 11,2632           20612                                    9D                                    
051749,000196: 11,2633           02122                                    RPSV                                  
051750,000197: 11,2634           02122                           STORE    RPSV                                  
051751,000198: 11,2635           77624                           CALL                                           
051752,000199: 11,2636           22650                                    GAMCOMP                               
051753,000200: 11,2637           62174                           AXT,2    INCR,1                                
051754,000201: 11,2640           00004                                    4                                     
051755,000202: 11,2641           00004                                    4                                     
051756,000203: 11,2642           77775                           VLOAD                                          
051757,000204: 11,2643           02122                                    RPSV                                  
051758,000205: 11,2644           36040                           STCALL   BETAV                                 
051759,000206: 11,2645           22650                                    GAMCOMP                               
051760,000207: 11,2646           77650                           GOTO                                           
051761,000208: 11,2647           23022                                    OBLATE                                
051762,000209: 11,2650           74575        GAMCOMP            VLOAD    VSR1                                  
051763,000210: 11,2651           02040                                    BETAV                                 
051764,000211: 11,2652           40236                           VSQ      SETPD                                 
051765,000212: 11,2653           00001                                    0                                     
051766,000213: 11,2654           61501                           NORM     ROUND                                 
051767,000214: 11,2655           00040                                    31D                                   
051768,000215: 11,2656           60325                           PDDL     NORM                                  #  NORMED B SQUARED TO PD LIST

Page 1232

051770,000217: 11,2657           02070                                    ALPHAM                                #  NORMALIZE (LESS ONE) LENGTH OF ALPHA
051771,000218: 11,2660           00041                                    32D                                   #  SAVING NORM SCALE FACTOR IN X1
051772,000219: 11,2661           63342                           SR1      PDVL                                  
051773,000220: 11,2662           02040                                    BETAV                                 #  C(PDL+2) = ALMOST NORMED ALPHA
051774,000221: 11,2663           77656                           UNIT                                           
051775,000222: 11,2664           16040                           STODL    BETAV                                 
051776,000223: 11,2665           00045                                    36D                                   
051777,000224: 11,2666           02072                           STORE    BETAM                                 
051778,000225: 11,2667           55301                           NORM     BDDV                                  #  FORM NORMALIZED QUOTIENT ALPHAM/BETAM
051779,000226: 11,2670           00042                                    33D                                   
051780,000227: 11,2671           41562                           SR1R     PUSH                                  #  C(PDL+2) = ALMOST NORMALIZED RHO.
051781,000228: 11,2672           77743                           DLOAD*                                         
051782,000229: 11,2673           27710                                    ASCALE,1                              
051783,000230: 11,2674           00051                           STORE    S1                                    
051784,000231: 11,2675           57124                           XCHX,2   XAD,2                                 
051785,000232: 11,2676           00050                                    S1                                    
051786,000233: 11,2677           00040                                    32D                                   
051787,000234: 11,2700           71264                           XSU,2    DLOAD                                 
051788,000235: 11,2701           00041                                    33D                                   
051789,000236: 11,2702           00003                                    2D                                    
051790,000237: 11,2703           65057                           SR*      XCHX,2                                
051791,000238: 11,2704           57177                                    0          -1,2                       
051792,000239: 11,2705           00050                                    S1                                    
051793,000240: 11,2706           74406                           PUSH     SR1R                                  #  RHO/4 TO 4D
051794,000241: 11,2707           50315                           PDVL     DOT                                   
051795,000242: 11,2710           02032                                    ALPHAV                                
051796,000243: 11,2711           02040                                    BETAV                                 
051797,000244: 11,2712           44372                           SL1R     BDSU                                  #  (RHO/4) - 2(ALPHAV/2.BETAV/2)
051798,000245: 11,2713           57206                           PUSH     DMPR                                  #  TO PDL+6
051799,000246: 11,2714           00005                                    4                                     
051800,000247: 11,2715           77752                           SL1                                            
051801,000248: 11,2716           43206                           PUSH     DAD                                   
051802,000249: 11,2717           25756                                    DQUARTER                              
051803,000250: 11,2720           75406                           PUSH     SQRT                                  
051804,000251: 11,2721           41475                           DMPR     PUSH                                  
051805,000252: 11,2722           00013                                    10D                                   
051806,000253: 11,2723           43352                           SL1      DAD                                   
051807,000254: 11,2724           25756                                    DQUARTER                              
051808,000255: 11,2725           43325                           PDDL     DAD                                   #  (1/4)+2((Q+1)/4)      TO PD+14D
051809,000256: 11,2726           00013                                    10D                                   
051810,000257: 11,2727           24005                                    HALFDP                                
051811,000258: 11,2730           72475                           DMPR     SL1                                   
051812,000259: 11,2731           00011                                    8D                                    
051813,000260: 11,2732           56215                           DAD      DDV                                   
051814,000261: 11,2733           25750                                    THREE/8                               
051815,000262: 11,2734           00017                                    14D                                   
051816,000263: 11,2735           74275                           DMPR     VXSC                                  
051817,000264: 11,2736           00007                                    6                                     
051818,000265: 11,2737           02040                                    BETAV                                 #                -
051819,000266: 11,2740           64515                           PDVL     VSR3                                  #  (G/2)(C(PD+4))B/2 TO PD+16D

Page 1233

051821,000268: 11,2741           02032                                    ALPHAV                                
051822,000269: 11,2742           41455                           VAD      PUSH                                  #  A12 + C(PD+16D) TO PD+16D
051823,000270: 11,2743           41345                           DLOAD    DMP                                   
051824,000271: 11,2744           00001                                    0                                     
051825,000272: 11,2745           00015                                    12D                                   
051826,000273: 11,2746           61501                           NORM     ROUND                                 
051827,000274: 11,2747           00037                                    30D                                   
051828,000275: 11,2750           40665                           BDDV     DMP*                                  
051829,000276: 11,2751           00003                                    2                                     
051830,000277: 11,2752           51770                                    MUEARTH,2                             
051831,000278: 11,2753           74276                           DCOMP    VXSC                                  
051832,000279: 11,2754           57124                           XCHX,2   XAD,2                                 
051833,000280: 11,2755           00050                                    S1                                    
051834,000281: 11,2756           00051                                    S2                                    
051835,000282: 11,2757           55064                           XSU,2    XSU,2                                 
051836,000283: 11,2760           00036                                    30D                                   
051837,000284: 11,2761           00037                                    31D                                   
051838,000285: 11,2762           77600                           BOV                                            #  CLEAR OVIND
051839,000286: 11,2763           22764                                    +1                                    
051840,000287: 11,2764           65057                           VSR*     XCHX,2                                
051841,000288: 11,2765           57177                                    0          -1,2                       
051842,000289: 11,2766           00050                                    S1                                    
051843,000290: 11,2767           77655                           VAD                                            
051844,000291: 11,2770           02062                                    FV                                    
051845,000292: 11,2771           02062                           STORE    FV                                    
051846,000293: 11,2772           43400                           BOV      RVQ                                   #  RETURN IF NO OVERFLOW
051847,000294: 11,2773           22774                                    +1                                    
051848,000295: 11,2774           51575        GOBAQUE            VLOAD    ABVAL                                 
051849,000296: 11,2775           01521                                    TDELTAV                               
051850,000297: 11,2776           77654                           BZE                                            
051851,000298: 11,2777           23017                                    INT-ABRT                              
051852,000299: 11,3000           54345                           DLOAD    SR                                    
051853,000300: 11,3001           02100                                    H                                     
051854,000301: 11,3002           20612                                    9D                                    
051855,000302: 11,3003           44206                           PUSH     BDSU                                  
051856,000303: 11,3004           01551                                    TC                                    
051857,000304: 11,3005           16074                           STODL    TAU.                                  
051858,000305: 11,3006           01517                                    TET                                   
051859,000306: 11,3007           45425                           DSU      STADR                                 
051860,000307: 11,3010           42260                           STCALL   TET                                   
051861,000308: 11,3011           22376                                    KEPPREP                               
051862,000309: 11,3012           77624                           CALL                                           
051863,000310: 11,3013           23441                                    RECTIFY                               
051864,000311: 11,3014           77614                           SETGO                                          
051865,000312: 11,3015           04020                                    RPQFLAG                               
051866,000313: 11,3016           27257                                    TESTLOOP                              
051867,000314: 
051868,000315: 11,3017           77776        INT-ABRT           EXIT                                           
051869,000316: 11,3020           05652                           TC       POODOO                                
051870,000317: 11,3021           00430                           OCT      00430                                 
051871,000318: 

Page 1234

051873,000320:                                                                                                  #  THE OBLATE ROUTINE COMPUTES THE ACCELERATION DUE TO OBLATENESS.  IT USES THE UNIT OF THE VEHICLE
051874,000321:                                                                                                  #  POSITION VECTOR FOUND IN ALPHAV AND THE DISTANCE TO THE CENTER IN ALPHAM.  THIS IS ADDED TO THE SUM OF THE
051875,000322:                                                                                                  #  DISTURBING ACCELERATIONS IN FV AND THE PROPER DIFEQ STAGE IS CALLED VIA X1.
051876,000323: 
051877,000324: 11,3022           71354        OBLATE             LXA,2    DLOAD                                 
051878,000325: 11,3023           02030                                    PBODY                                 
051879,000326: 11,3024           02070                                    ALPHAM                                
051880,000327: 11,3025           44601                           SETPD    DSU*                                  
051881,000328: 11,3026           00001                                    0                                     
051882,000329: 11,3027           50053                                    RDE,2                                 
051883,000330: 11,3030           43044                           BPL      BOF                                   #  GET URPV
051884,000331: 11,3031           23232                                    NBRANCH                               
051885,000332: 11,3032           00343                                    MOONFLAG                              
051886,000333: 11,3033           23241                                    COSPHIE                               
051887,000334: 11,3034           65375                           VLOAD    PDDL                                  
051888,000335: 11,3035           02032                                    ALPHAV                                
051889,000336: 11,3036           01517                                    TET                                   
051890,000337: 11,3037           45125                           PDDL     CALL                                  
051891,000338: 11,3040           25746                                    3/5                                   
051892,000339: 11,3041           51670                                    R-TO-RP                               
051893,000340: 11,3042           00017                           STORE    URPV                                  
051894,000341: 11,3043           47375                           VLOAD    VXV                                   
051895,000342: 11,3044           02013                                    504LM                                 
051896,000343: 11,3045           24001                                    ZUNIT                                 
051897,000344: 11,3046           61255                           VAD      VXM                                   
051898,000345: 11,3047           24001                                    ZUNIT                                 
051899,000346: 11,3050           00025                                    MMATRIX                               
051900,000347: 11,3051           77656                           UNIT                                           #  POSSIBLY UNNECESSARY
051901,000348: 11,3052           00025        COMTERM            STORE    UZ                                    
051902,000349: 11,3053           57345                           DLOAD    DMPR                                  
051903,000350: 11,3054           00023                                    COSPHI/2                              
051904,000351: 11,3055           25760                                    3/32                                  
051905,000352: 11,3056           63525                           PDDL     DSQ                                   #  P2/64 TO PD0
051906,000353: 11,3057           00023                                    COSPHI/2                              
051907,000354: 11,3060           45275                           DMPR     DSU                                   
051908,000355: 11,3061           25762                                    15/16                                 
051909,000356: 11,3062           25754                                    3/64                                  
051910,000357: 11,3063           57206                           PUSH     DMPR                                  #  P3/32 TO PD2
051911,000358: 11,3064           00023                                    COSPHI/2                              
051912,000359: 11,3065           76405                           DMP      SL1R                                  
051913,000360: 11,3066           25766                                    7/12                                  
051914,000361: 11,3067           57325                           PDDL     DMPR                                  
051915,000362: 11,3070           00001                                    0                                     
051916,000363: 11,3071           25774                                    2/3                                   
051917,000364: 11,3072           41421                           BDSU     PUSH                                  #  P4/128 TO PD4
051918,000365: 11,3073           57275                           DMPR     DMPR                                  
051919,000366: 11,3074           00023                                    COSPHI/2                              #  BEGIN COMPUTING P5/1024
051920,000367: 11,3075           25770                                    9/16                                  
051921,000368: 11,3076           57325                           PDDL     DMPR                                  
051922,000369: 11,3077           00003                                    2                                     
051923,000370: 11,3100           25772                                    5/128                                 

Page 1235

051925,000372: 11,3101           77621                           BDSU                                           
051926,000373: 11,3102           77603                           DMP*                                           
051927,000374: 11,3103           51764                                    J4REQ/J3,2                            
051928,000375: 11,3104           43271                           DDV      DAD                                   #               -3
051929,000376: 11,3105           02070                                    ALPHAM                                #  (((P5/256)B 2  /R+P4/32)  /R+P3/8)ALPHAV
051930,000377: 11,3106           00005                                    4                                     #             4             3
051931,000378: 11,3107           56273                           DMPR*    DDV                                   
051932,000379: 11,3110           51760                                    2J3RE/J2,2                            
051933,000380: 11,3111           02070                                    ALPHAM                                
051934,000381: 11,3112           74215                           DAD      VXSC                                  
051935,000382: 11,3113           00003                                    2                                     
051936,000383: 11,3114           02032                                    ALPHAV                                
051937,000384: 11,3115           14033                           STODL    TVEC                                  
051938,000385: 11,3116           70403                           DMP*     SR1                                   
051939,000386: 11,3117           51764                                    J4REQ/J3,2                            
051940,000387: 11,3120           43271                           DDV      DAD                                   
051941,000388: 11,3121           02070                                    ALPHAM                                #                -3
051942,000389: 11,3122           50473                           DMPR*    SR3                                   
051943,000390: 11,3123           51760                                    2J3RE/J2,2                            #     3        4
051944,000391: 11,3124           43271                           DDV      DAD                                   
051945,000392: 11,3125           02070                                    ALPHAM                                
051946,000393: 11,3126           76561                           VXSC     VSL1                                  
051947,000394: 11,3127           00025                                    UZ                                    
051948,000395: 11,3130           77645                           BVSU                                           
051949,000396: 11,3131           00033                                    TVEC                                  
051950,000397: 11,3132           14033                           STODL    TVEC                                  
051951,000398: 11,3133           02070                                    ALPHAM                                
051952,000399: 11,3134           63501                           NORM     DSQ                                   
051953,000400: 11,3135           00047                                    X1                                    
051954,000401: 11,3136           60316                           DSQ      NORM                                  
051955,000402: 11,3137           00051                                    S1                                    #          4
051956,000403: 11,3140           54606                           PUSH     BDDV*                                 #  NORMED R  TO 0D
051957,000404: 11,3141           51754                                    J2REQSQ,2                             
051958,000405: 11,3142           40161                           VXSC     BOV                                   
051959,000406: 11,3143           00033                                    TVEC                                  
051960,000407: 11,3144           23145                                    +1                                    #  (RESET OVERFLOW INDICATOR)
051961,000408: 11,3145           56070                           XAD,1    XAD,1                                 
051962,000409: 11,3146           00046                                    X1                                    
051963,000410: 11,3147           00046                                    X1                                    
051964,000411: 11,3150           53670                           XAD,1    VSL*                                  
051965,000412: 11,3151           00050                                    S1                                    
051966,000413: 11,3152           20153                                    0          -22D,1                     
051967,000414: 11,3153           40055                           VAD      BOV                                   
051968,000415: 11,3154           02062                                    FV                                    
051969,000416: 11,3155           22774                                    GOBAQUE                               
051970,000417: 11,3156           36062                           STCALL   FV                                    
051971,000418: 11,3157           27725                                    QUALITY1                              
051972,000419: 
051973,000420: 11,3160           77716        QUALITY3           DSQ                                            #  J22 TERM X R**4 IN 2D, SCALED B61
051974,000421:                                                                                                  #  AS VECTOR.

Page 1236

051976,000423: 11,3161           41206                           PUSH     DMP                                   #  STORE COSPHI**2 SCALED B2 IN 8D
051977,000424: 11,3162           27712                                    5/8                                   #  5 SCALED B3
051978,000425: 11,3163           60525                           PDDL     SR2                                   #  PUT 5 COSPHI**2, D5, IN 8D.  GET
051979,000426:                                                                                                  #  COSPHI**2 D2 FROM 8D
051980,000427: 11,3164           44215                           DAD      BDSU                                  #  END UP WITH (1-7 COSPHI**2), B5
051981,000428: 11,3165           00011                                    8D                                    #  ADDING COSPHI**2 B4 SAME AS COSPHI**2
051982,000429:                                                                                                  #  X 2 D5
051983,000430: 11,3166           11043                                    D1/32                                 #  1 SCALED B5
051984,000431: 11,3167           41205                           DMP      DMP                                   
051985,000432: 11,3170           00017                                    URPV                                  #  X COMPONENT
051986,000433: 11,3171           27712                                    5/8                                   #  5 SCALED B3
051987,000434: 11,3172           56561                           VXSC     VSL5                                  #  AFTER SHIFT, SCALED B5
051988,000435: 11,3173           00017                                    URPV                                  #  VECTOR, B1.
051989,000436: 11,3174           77725                           PDDL                                           #  VECTOR INTO 8D, 10D, 12D, SCALED B5.
051990,000437:                                                                                                  #  GET 5 COSPHI**2 OUT OF 8D
051991,000438: 11,3175           43225                           DSU      DAD                                   
051992,000439: 11,3176           11043                                    D1/32                                 #  1 B5
051993,000440: 11,3177           00011                                    8D                                    #  X COMPONENT (SAME AS MULTIPLYING
051994,000441:                                                                                                  #  BY UNITX)
051995,000442: 11,3200           14011                           STODL    8D                                    
051996,000443: 11,3201           00017                                    URPV                                  #  X COMPONENT
051997,000444: 11,3202           41205                           DMP      DMP                                   
051998,000445: 11,3203           00023                                    URPV       +4                         #  Z COMPONENT
051999,000446: 11,3204           27712                                    5/8                                   #  5 B3 ANSWER B5
052000,000447: 11,3205           43352                           SL1      DAD                                   #  FROM 12D FOR Z COMPONENT (SL1 GIVES 10
052001,000448:                                                                                                  #  INSTEAD OF 5 FOR COEFFICIENT)
052002,000449: 11,3206           60325                           PDDL     NORM                                  #  BACK INTO 12D FOR Z COMPONENT.
052003,000450: 11,3207           02070                                    ALPHAM                                #  SCALED B27 FOR MOON
052004,000451: 11,3210           00050                                    X2                                    
052005,000452: 11,3211           67206                           PUSH     SLOAD                                 #  STORE IN 14D, DESTROYING URPV
052006,000453:                                                                                                  #  X COMPONENT
052007,000454: 11,3212           01354                                    E32C31RM                              
052008,000455: 11,3213           74271                           DDV      VXSC                                  #  IF X2 = 0, DIVISION GIVES B53, VXSC
052009,000456:                                                                                                  #  OUT OF 8D B5 GIVES B58
052010,000457: 11,3214           53257                           VSL*     VAD                                   #  SHIFT MAKES B61, FOR ADDITION OF 
052011,000458:                                                                                                  #  VECTOR IN 2D
052012,000459: 11,3215           57601                                    0          -3,2                       
052013,000460: 11,3216           70257                           VSL*     V/SC                                  #  OPERAND FROM 0D, B108 FOR X1 = 0
052014,000461: 11,3217           20146                                    0          -27D,1                     #  FOR X1 = 0, MAKES B88, GIVING B-20
052015,000462:                                                                                                  #  FOR RESULT.
052016,000463: 11,3220           65325                           PDDL     PDDL                                  
052017,000464: 11,3221           01517                                    TET                                   
052018,000465: 11,3222           27712                                    5/8                                   #  ANY NON-ZERO CONSTANT
052019,000466: 11,3223           45154                           LXA,2    CALL                                  #  POSITION IN 0D, TIME IN 6D.  X2 LEFT
052020,000467:                                                                                                  #  ALONE.
052021,000468: 11,3224           02030                                    PBODY                                 
052022,000469: 11,3225           55716                                    RP-TO-R                               
052023,000470: 11,3226           40055                           VAD      BOV                                   #  OVERFLOW INDICATOR RESET IN "RP-TO-R"
052024,000471: 11,3227           02062                                    FV                                    
052025,000472: 11,3230           22774                                    GOBAQUE                               

Page 1237

052027,000474: 11,3231           02062                           STORE    FV                                    
052028,000475: 11,3232           72135        NBRANCH            SLOAD    LXA,1                                 
052029,000476: 11,3233           01501                                    DIFEQCNT                              
052030,000477: 11,3234           00154                                    MPAC                                  
052031,000478: 11,3235           73205                           DMP      CGOTO                                 
052032,000479: 11,3236           27714                                    -1/12                                 
052033,000480: 11,3237           00155                                    MPAC                                  
052034,000481: 11,3240           23247                                    DIFEQTAB                              
052035,000482: 11,3241           77745        COSPHIE            DLOAD                                          
052036,000483: 11,3242           02036                                    ALPHAV     +4                         
052037,000484: 11,3243           24023                           STOVL    COSPHI/2                              
052038,000485: 11,3244           24001                                    ZUNIT                                 
052039,000486: 11,3245           77650                           GOTO                                           
052040,000487: 11,3246           23052                                    COMTERM                               
052041,000488: 11,3247           23466        DIFEQTAB           CADR     DIFEQ+0                               
052042,000489: 11,3250           23472                           CADR     DIFEQ+1                               
052043,000490: 11,3251           23503                           CADR     DIFEQ+2                               
052044,000491: 11,3252           77214        TIMESTEP           BOF      VLOAD                                 
052045,000492: 11,3253           00342                                    MIDFLAG                               
052046,000493: 11,3254           23303                                    RECTEST                               
052047,000494: 11,3255           01535                                    RCV                                   
052048,000495: 11,3256           41241                           DOT      DMP                                   
052049,000496: 11,3257           01543                                    VCV                                   
052050,000497: 11,3260           02076                                    DT/2                                  #  (R.V) X (DELTA T)
052051,000498: 11,3261           77640                           BMN                                            
052052,000499: 11,3262           23303                                    RECTEST                               
052053,000500: 11,3263           43014                           BON      BOF                                   
052054,000501: 11,3264           00303                                    MOONFLAG                              
052055,000502: 11,3265           23360                                    LUNSPH                                
052056,000503: 11,3266           04340                                    RPQFLAG                               
052057,000504: 11,3267           23355                                    EARSPH                                
052058,000505: 11,3270           45145                           DLOAD    CALL                                  
052059,000506: 11,3271           01517                                    TET                                   
052060,000507: 11,3272           33664                                    LSPOS                                 #  RPQV IN MPAC
052061,000508: 11,3273           02105                           STORE    RPQV                                  #  RPQV
052062,000509: 11,3274           77754                           LXA,2                                          
052063,000510: 11,3275           02030                                    PBODY                                 
052064,000511: 11,3276           51445        INLUNCHK           BVSU     ABVAL                                 
052065,000512: 11,3277           01535                                    RCV                                   
052066,000513: 11,3300           50025                           DSU      BMN                                   
052067,000514: 11,3301           27720                                    RSPHERE                               
052068,000515: 11,3302           23375                                    DOSWITCH                              
052069,000516: 11,3303           51575        RECTEST            VLOAD    ABVAL                                 #  RECTIFY IF
052070,000517: 11,3304           01521                                    TDELTAV                               
052071,000518: 11,3305           77600                           BOV                                            
052072,000519: 11,3306           23331                                    CALLRECT                              
052073,000520: 11,3307           51025                           DSU      BPL                                   #        1) EITHER TDELTAV OR TNUV EQUALS OR
052074,000521: 11,3310           25764                                    3/4                                   #           EXCEEDS 3/4 IN MAGNITUDE
052075,000522: 11,3311           23331                                    CALLRECT                              
052076,000523: 11,3312           53615                           DAD      SL*                                   #                        OR

Page 1238

052078,000525: 11,3313           25764                                    3/4                                   
052079,000526: 11,3314           57605                                    0          -7,2                       #        2) ABVAL(TDELTAV) EQUALS OR EXCEEDS
052080,000527: 11,3315           45271                           DDV      DSU                                   #           .01(ABVAL(RCV))
052081,000528: 11,3316           00013                                    10D                                   
052082,000529: 11,3317           27716                                    RECRATIO                              
052083,000530: 11,3320           77244                           BPL      VLOAD                                 
052084,000531: 11,3321           23331                                    CALLRECT                              
052085,000532: 11,3322           01527                                    TNUV                                  
052086,000533: 11,3323           45246                           ABVAL    DSU                                   
052087,000534: 11,3324           25764                                    3/4                                   
052088,000535: 11,3325           77600                           BOV                                            
052089,000536: 11,3326           23331                                    CALLRECT                              
052090,000537: 11,3327           77640                           BMN                                            
052091,000538: 11,3330           23333                                    INTGRATE                              
052092,000539: 11,3331           77624        CALLRECT           CALL                                           
052093,000540: 11,3332           23441                                    RECTIFY                               
052094,000541: 11,3333           77775        INTGRATE           VLOAD                                          
052095,000542: 11,3334           01527                                    TNUV                                  
052096,000543: 11,3335           25135                           STOVL    ZV                                    
052097,000544: 11,3336           01521                                    TDELTAV                               
052098,000545: 11,3337           01127                           STORE    YV                                    
052099,000546: 11,3340           77614                           CLEAR                                          
052100,000547: 11,3341           00261                                    JSWITCH                               
052101,000548: 11,3342           66375        DIFEQ0             VLOAD    SSP                                   
052102,000549: 11,3343           01127                                    YV                                    
052103,000550: 11,3344           01501                                    DIFEQCNT                              
052104,000551: 11,3345           00000                                    0                                     
052105,000552: 11,3346           16032                           STODL    ALPHAV                                
052106,000553: 11,3347           24007                                    DPZERO                                
052107,000554: 11,3350           02100                           STORE    H                                     #  START H AT ZERO.  GOES 0(DELT/2)DELT.
052108,000555: 11,3351           52014                           BON      GOTO                                  
052109,000556: 11,3352           00301                                    JSWITCH                               
052110,000557: 11,3353           23705                                    DOW..                                 
052111,000558: 11,3354           22516                                    ACCOMP                                
052112,000559: 11,3355           52175        EARSPH             VLOAD    GOTO                                  
052113,000560: 11,3356           02105                                    RPQV                                  
052114,000561: 11,3357           23276                                    INLUNCHK                              
052115,000562: 11,3360           60545        LUNSPH             DLOAD    SR2                                   
052116,000563: 11,3361           00013                                    10D                                   
052117,000564: 11,3362           50025                           DSU      BMN                                   
052118,000565: 11,3363           27720                                    RSPHERE                               
052119,000566: 11,3364           23303                                    RECTEST                               
052120,000567: 11,3365           71214                           BOF      DLOAD                                 
052121,000568: 11,3366           04340                                    RPQFLAG                               
052122,000569: 11,3367           23375                                    DOSWITCH                              
052123,000570: 11,3370           01517                                    TET                                   
052124,000571: 11,3371           77624                           CALL                                           
052125,000572: 11,3372           33664                                    LUNPOS                                
052126,000573: 11,3373           77676                           VCOMP                                          
052127,000574: 11,3374           02105                           STORE    RPQV                                  

Page 1239

052129,000576: 11,3375           77624        DOSWITCH           CALL                                           
052130,000577: 11,3376           23401                                    ORIGCHNG                              
052131,000578: 11,3377           77650                           GOTO                                           
052132,000579: 11,3400           23333                                    INTGRATE                              
052133,000580: 11,3401           45020        ORIGCHNG           STQ      CALL                                  
052134,000581: 11,3402           02112                                    ORIGEX                                
052135,000582: 11,3403           23441                                    RECTIFY                               
052136,000583: 11,3404           53775                           VLOAD    VSL*                                  
052137,000584: 11,3405           01535                                    RCV                                   
052138,000585: 11,3406           57576                                    0,2                                   
052139,000586: 11,3407           53651                           VSU      VSL*                                  
052140,000587: 11,3410           02105                                    RPQV                                  
052141,000588: 11,3411           57574                                    2,2                                   
052142,000589: 11,3412           01503                           STORE    RRECT                                 
052143,000590: 11,3413           15535                           STODL    RCV                                   
052144,000591: 11,3414           01517                                    TET                                   
052145,000592: 11,3415           77624                           CALL                                           
052146,000593: 11,3416           33775                                    LUNVEL                                
052147,000594: 11,3417           57414                           BOF      VCOMP                                 
052148,000595: 11,3420           00343                                    MOONFLAG                              
052149,000596: 11,3421           23422                                    +1                                    
052150,000597: 11,3422           53715                           PDVL     VSL*                                  
052151,000598: 11,3423           01543                                    VCV                                   
052152,000599: 11,3424           57576                                    0,2                                   
052153,000600: 11,3425           77651                           VSU                                            
052154,000601: 11,3426           77657                           VSL*                                           
052155,000602: 11,3427           57574                                    0          +2,2                       
052156,000603: 11,3430           01511                           STORE    VRECT                                 
052157,000604: 11,3431           01543                           STORE    VCV                                   
052158,000605: 11,3432           67154                           LXA,2    SXA,2                                 
052159,000606: 11,3433           02112                                    ORIGEX                                
052160,000607: 11,3434           00052                                    QPRET                                 
052161,000608: 11,3435           52014                           BON      GOTO                                  
052162,000609: 11,3436           00303                                    MOONFLAG                              
052163,000610: 11,3437           26711                                    CLRMOON                               
052164,000611: 11,3440           26716                                    SETMOON                               

Page 1240

052166,000613:                                                                                                  #  THE RECTIFY SUBROUTINE IS CALLED BY THE INTEGRATION PROGRAM AND OCCASIONALLY BY THE MEASUREMENT INCORPORATION
052167,000614:                                                                                                  #  ROUTINES TO ESTABLISH A NEW CONIC.
052168,000615: 
052169,000616: 11,3441           77354        RECTIFY            LXA,2    VLOAD                                 
052170,000617: 11,3442           02030                                    PBODY                                 
052171,000618: 11,3443           01521                                    TDELTAV                               
052172,000619: 11,3444           53257                           VSL*     VAD                                   
052173,000620: 11,3445           57605                                    0          -7,2                       
052174,000621: 11,3446           01535                                    RCV                                   
052175,000622: 11,3447           01503                           STORE    RRECT                                 
052176,000623: 11,3450           25535                           STOVL    RCV                                   
052177,000624: 11,3451           01527                                    TNUV                                  
052178,000625: 11,3452           53257                           VSL*     VAD                                   
052179,000626: 11,3453           57602                                    0          -4,2                       
052180,000627: 11,3454           01543                                    VCV                                   
052181,000628: 11,3455           01511        MINIRECT           STORE    VRECT                                 
052182,000629: 11,3456           25543                           STOVL    VCV                                   
052183,000630: 11,3457           24007                                    ZEROVEC                               
052184,000631: 11,3460           01521                           STORE    TDELTAV                               
052185,000632: 11,3461           15527                           STODL    TNUV                                  
052186,000633: 11,3462           24007                                    ZEROVEC                               
052187,000634: 11,3463           01551                           STORE    TC                                    
052188,000635: 11,3464           01553                           STORE    XKEP                                  
052189,000636: 11,3465           77616                           RVQ                                            
052190,000637: 

Page 1241

052192,000639:                                                                                                  #  THE THREE DIFEQ ROUTINES - DIFEQ+0, DIFEQ+12, AND DIFEQ+24 - ARE ENTERED TO PROCESS THE CONTRIBUTIONS AT THE
052193,000640:                                                                                                  #  BEGINNING, MIDDLE, AND END OF THE TIMESTEP, RESPECTIVELY.  THE UPDATING IS DONE BY THE NYSTROM METHOD.
052194,000641: 
052195,000642: 11,3466           64575        DIFEQ+0            VLOAD    VSR3                                  
052196,000643: 11,3467           02062                                    FV                                    
052197,000644: 11,3470           36046                           STCALL   PHIV                                  
052198,000645: 11,3471           23646                                    DIFEQCOM                              
052199,000646: 11,3472           74575        DIFEQ+1            VLOAD    VSR1                                  
052200,000647: 11,3473           02062                                    FV                                    
052201,000648: 11,3474           53206                           PUSH     VAD                                   
052202,000649: 11,3475           02046                                    PHIV                                  
052203,000650: 11,3476           26054                           STOVL    PSIV                                  
052204,000651: 11,3477           53362                           VSR1     VAD                                   
052205,000652: 11,3500           02046                                    PHIV                                  
052206,000653: 11,3501           36046                           STCALL   PHIV                                  
052207,000654: 11,3502           23646                                    DIFEQCOM                              
052208,000655: 11,3503           57345        DIFEQ+2            DLOAD    DMPR                                  
052209,000656: 11,3504           02100                                    H                                     
052210,000657: 11,3505           25774                                    DP2/3                                 
052211,000658: 11,3506           74206                           PUSH     VXSC                                  
052212,000659: 11,3507           02046                                    PHIV                                  
052213,000660: 11,3510           53372                           VSL1     VAD                                   
052214,000661: 11,3511           01135                                    ZV                                    
052215,000662: 11,3512           53361                           VXSC     VAD                                   
052216,000663: 11,3513           02100                                    H                                     
052217,000664: 11,3514           01127                                    YV                                    
052218,000665: 11,3515           25127                           STOVL    YV                                    
052219,000666: 11,3516           02062                                    FV                                    
052220,000667: 11,3517           53322                           VSR3     VAD                                   
052221,000668: 11,3520           02054                                    PSIV                                  
052222,000669: 11,3521           76561                           VXSC     VSL1                                  
052223,000670: 11,3522           77655                           VAD                                            
052224,000671: 11,3523           01135                                    ZV                                    
052225,000672: 11,3524           01135                           STORE    ZV                                    
052226,000673: 11,3525           45014                           BOFF     CALL                                  
052227,000674: 11,3526           00341                                    JSWITCH                               
052228,000675: 11,3527           23577                                    ENDSTATE                              
052229,000676: 11,3530           11244                                    GRP2PC                                
052230,000677: 11,3531           77354                           LXA,2    VLOAD                                 
052231,000678: 11,3532           01117                                    COLREG                                
052232,000679: 11,3533           01135                                    ZV                                    
052233,000680: 11,3534           77732                           VSL3                                           #  ADJUST W-POSITION FOR STORAGE
052234,000681: 11,3535           12467                           STORE    W          +54D,2                     
052235,000682: 11,3536           77775                           VLOAD                                          
052236,000683: 11,3537           01127                                    YV                                    
052237,000684: 11,3540           40132                           VSL3     BOV                                   
052238,000685: 11,3541           23671                                    WMATEND                               
052239,000686: 11,3542           12401                           STORE    W,2                                   
052240,000687: 
052241,000688: 11,3543           77624                           CALL                                           
052242,000689: 11,3544           11244                                    GRP2PC                                

Page 1242

052244,000691: 11,3545           66354                           LXA,2    SSP                                   
052245,000692: 11,3546           01117                                    COLREG                                
052246,000693: 11,3547           00052                                    S2                                    
052247,000694: 11,3550           00000                                    0                                     
052248,000695: 11,3551           67114                           INCR,2   SXA,2                                 
052249,000696: 11,3552           00006                                    6                                     
052250,000697: 11,3553           01126                                    YV                                    
052251,000698: 11,3554           45104                           TIX,2    CALL                                  
052252,000699: 11,3555           23642                                    RELOADSV                              
052253,000700: 11,3556           11244                                    GRP2PC                                
052254,000701: 11,3557           67154                           LXA,2    SXA,2                                 
052255,000702: 11,3560           01126                                    YV                                    
052256,000703: 11,3561           01117                                    COLREG                                
052257,000704: 
052258,000705: 11,3562           77624        NEXTCOL            CALL                                           
052259,000706: 11,3563           11244                                    GRP2PC                                
052260,000707: 11,3564           76754                           LXA,2    VLOAD*                                
052261,000708: 11,3565           01117                                    COLREG                                
052262,000709: 11,3566           75376                                    W,2                                   
052263,000710: 11,3567           77722                           VSR3                                           #  ADJUST W-POSITION FOR INTEGRATION
052264,000711: 11,3570           01127                           STORE    YV                                    
052265,000712: 11,3571           76173                           VLOAD*   AXT,1                                 
052266,000713: 11,3572           75310                                    W          +54D,2                     
052267,000714: 11,3573           00000                                    0                                     
052268,000715: 11,3574           77722                           VSR3                                           #  ADJUST W-VELOCITY FOR INTEGRATION
052269,000716: 11,3575           35135                           STCALL   ZV                                    
052270,000717: 11,3576           23342                                    DIFEQ0                                
052271,000718: 
052272,000719: 11,3577           77200        ENDSTATE           BOV      VLOAD                                 
052273,000720: 11,3600           22774                                    GOBAQUE                               
052274,000721: 11,3601           01135                                    ZV                                    
052275,000722: 11,3602           25527                           STOVL    TNUV                                  
052276,000723: 11,3603           01127                                    YV                                    
052277,000724: 11,3604           01521                           STORE    TDELTAV                               
052278,000725: 11,3605           43014                           BON      BOFF                                  
052279,000726: 11,3606           04715                                    MIDAVFLG                              
052280,000727: 11,3607           27633                                    CKMID2                                #  CHECK FOR MID2 BEFORE GOING TO TIMEINC
052281,000728: 11,3610           01756                                    DIM0FLAG                              
052282,000729: 11,3611           27257                                    TESTLOOP                              
052283,000730: 11,3612           77776                           EXIT                                           
052284,000731: 11,3613           05353                           TC       PHASCHNG                              
052285,000732: 11,3614           04022                           OCT      04022                                 #  PHASE 1
052286,000733: 11,3615           05504                           TC       UPFLAG                                #  PHASE CHANGE HAS OCCURRED BETWEEN
052287,000734: 11,3616           00236                           ADRES    REINTFLG                              #  INTSTALL AND INTWAKE
052288,000735: 11,3617           06037                           TC       INTPRET                               
052289,000736: 11,3620           77731                           SSP                                            
052290,000737: 11,3621           00053                                    QPRET                                 
052291,000738: 11,3622           23627                                    AMOVED                                
052292,000739: 11,3623           52014                           BON      GOTO                                  
052293,000740: 11,3624           01714                                    VINTFLAG                              

Page 1243

052295,000742: 11,3625           26661                                    ATOPCSM                               
052296,000743: 11,3626           26734                                    ATOPLEM                               
052297,000744: 11,3627           66214        AMOVED             SET      SSP                                   
052298,000745: 11,3630           00061                                    JSWITCH                               
052299,000746: 11,3631           01120                                    COLREG                                
052300,000747: 11,3632           77741                           DEC      -30        B-14                       
052301,000748: 11,3633           66214                           BOFF     SSP                                   
052302,000749: 11,3634           01755                                    D6OR9FLG                              
052303,000750: 11,3635           23562                                    NEXTCOL                               
052304,000751: 11,3636           01120                                    COLREG                                
052305,000752: 11,3637           77717                           DEC      -48        B-14                       
052306,000753: 11,3640           77650                           GOTO                                           
052307,000754: 11,3641           23562                                    NEXTCOL                               
052308,000755: 
052309,000756: 11,3642           77745        RELOADSV           DLOAD                                          #  RELOAD TEMPORARY STATE VECTOR
052310,000757: 11,3643           01116                                    TDEC                                  #  FROM PERMANENT IN CASE OF
052311,000758: 11,3644           34041                           STCALL   TDEC1                                 
052312,000759: 11,3645           27141                                    INTEGRV2                              #  BY STARTING AT INTEGRV2.
052313,000760: 11,3646           43345        DIFEQCOM           DLOAD    DAD                                   #  INCREMENT H AND DIFEQCNT.
052314,000761: 11,3647           02076                                    DT/2                                  
052315,000762: 11,3650           02100                                    H                                     
052316,000763: 11,3651           66110                           INCR,1   SXA,1                                 
052317,000764: 11,3652           77763                           DEC      -12        B-14                       
052318,000765: 11,3653           01500                                    DIFEQCNT                              #  DIFEQCNT SET FOR NEXT ENTRY.
052319,000766: 11,3654           02100                           STORE    H                                     
052320,000767: 11,3655           74561                           VXSC     VSR1                                  
052321,000768: 11,3656           02062                                    FV                                    
052322,000769: 11,3657           74255                           VAD      VXSC                                  
052323,000770: 11,3660           01135                                    ZV                                    
052324,000771: 11,3661           02100                                    H                                     
052325,000772: 11,3662           77655                           VAD                                            
052326,000773: 11,3663           01127                                    YV                                    
052327,000774: 11,3664           02032                           STORE    ALPHAV                                
052328,000775: 11,3665           52014                           BON      GOTO                                  
052329,000776: 11,3666           00301                                    JSWITCH                               
052330,000777: 11,3667           23705                                    DOW..                                 
052331,000778: 11,3670           22476                                    FBR3                                  
052332,000779: 
052333,000780: 11,3671           43014        WMATEND            CLEAR    CLEAR                                 
052334,000781: 11,3672           01676                                    DIM0FLAG                              #  DONT INTEGRATE W THIS TIME
052335,000782: 11,3673           01671                                    ORBWFLAG                              #  INVALIDATE W
052336,000783: 11,3674           77614                           CLEAR                                          
052337,000784: 11,3675           02676                                    RENDWFLG                              
052338,000785: 11,3676           77414                           SET      EXIT                                  
052339,000786: 11,3677           01472                                    STATEFLG                              #  PICK UP STATE VECTOR UPDATE
052340,000787: 11,3700           05567                           TC       ALARM                                 
052341,000788: 11,3701           00421                           OCT      421                                   
052342,000789: 11,3702           06037                           TC       INTPRET                               

Page 1244

052344,000791: 11,3703           77650                           GOTO                                           
052345,000792: 11,3704           27257                                    TESTLOOP                              #  FINISH INTEGRATING STATE VECTOR
052346,000793: 

Page 1245

052348,000795:                                                                                                  #  ORBITAL ROUTINE FOR EXTRAPOLATION OF THE W MATRIX.  IT COMPUTES THE SECOND DERIVATIVE OF EACH COLUMN POSITION
052349,000796:                                                                                                  #  VECTOR OF THE MATRIX AND CALLS THE NYSTROM INTEGRATION ROUTINES TO SOLVE THE DIFFERENTIAL EQUATIONS.  THE PROGRAM
052350,000797:                                                                                                  #  USES A TABLE OF VEHICLE POSITION VECTORS COMPUTED DURING THE INTEGRATION OF THE VEHICLES POSITION AND VELOCITY.
052351,000798: 
052352,000799: 11,3705           70754        DOW..              LXA,2    DLOAD*                                
052353,000800: 11,3706           02030                                    PBODY                                 
052354,000801: 11,3707           51770                                    MUEARTH,2                             
052355,000802: 11,3710           36072                           STCALL   BETAM                                 
052356,000803: 11,3711           23733                                    DOW..1                                
052357,000804: 11,3712           02062                           STORE    FV                                    
052358,000805: 11,3713           62014                           BOF      INCR,1                                
052359,000806: 11,3714           00342                                    MIDFLAG                               
052360,000807: 11,3715           23232                                    NBRANCH                               
052361,000808: 11,3716           77771                           DEC      -6         B-14                       
052362,000809: 11,3717           70744                           LXC,2    DLOAD*                                
052363,000810: 11,3720           02030                                    PBODY                                 
052364,000811: 11,3721           51772                                    MUEARTH    -2,2                       
052365,000812: 11,3722           36072                           STCALL   BETAM                                 
052366,000813: 11,3723           23733                                    DOW..1                                
052367,000814: 11,3724           50414                           BON      VSR6                                  
052368,000815: 11,3725           00303                                    MOONFLAG                              
052369,000816: 11,3726           23727                                    +1                                    
052370,000817: 11,3727           77655                           VAD                                            
052371,000818: 11,3730           02062                                    FV                                    
052372,000819: 11,3731           36062                           STCALL   FV                                    
052373,000820: 11,3732           23232                                    NBRANCH                               
052374,000821: 11,3733           60575        DOW..1             VLOAD    VSR4                                  
052375,000822: 11,3734           02032                                    ALPHAV                                
052376,000823: 11,3735           53513                           PDVL*    UNIT                                  
052377,000824: 11,3736           02132                                    VECTAB,1                              
052378,000825: 11,3737           46315                           PDVL     VPROJ                                 
052379,000826: 11,3740           02032                                    ALPHAV                                
052380,000827: 11,3741           52361                           VXSC     VSU                                   
052381,000828: 11,3742           25764                                    3/4                                   
052382,000829: 11,3743           60325                           PDDL     NORM                                  
052383,000830: 11,3744           00045                                    36D                                   
052384,000831: 11,3745           00052                                    S2                                    
052385,000832: 11,3746           63406                           PUSH     DSQ                                   
052386,000833: 11,3747           77605                           DMP                                            
052387,000834: 11,3750           65301                           NORM     PDDL                                  
052388,000835: 11,3751           00043                                    34D                                   
052389,000836: 11,3752           02072                                    BETAM                                 
052390,000837: 11,3753           56342                           SR1      DDV                                   
052391,000838: 11,3754           77761                           VXSC                                           
052392,000839: 11,3755           57154                           LXA,2    XAD,2                                 
052393,000840: 11,3756           00051                                    S2                                    
052394,000841: 11,3757           00051                                    S2                                    
052395,000842: 11,3760           57074                           XAD,2    XAD,2                                 
052396,000843: 11,3761           00051                                    S2                                    
052397,000844: 11,3762           00042                                    34D                                   
052398,000845: 11,3763           43457                           VSL*     RVQ                                   

Page 1246

052400,000847: 11,3764           57606                                    0          -8D,2                      
052401,000848: 
052402,000849:                                                                                                  #  *****************************************************************************************************************
052403,000850:                                                                                                  #  *****************************************************************************************************************
052404,000851: 11,3765           43131        SETITCTR           SSP      BOFF                                  #  SET ITERCTR FOR LAMBERT CALLS.  THIS
052405,000852: 11,3766           00027                                    ITERCTR                               #  CODING BELONGS IN INITVEL AND IS HERE
052406,000853: 11,3767           00024                                    20D                                   #  FOR PURPOSES OF A ONE-MODULE
052407,000854: 11,3770           03752                                    AVEGFLAG                              #  REMANUFACTURE ONLY.  CODING SHOULD
052408,000855: 11,3771           25212                                    LAMBERT                               #  BE MOVED BACK TO INITVEL FOR LUMINARY 1B
052409,000856: 11,3772           52131                           SSP      GOTO                                  
052410,000857: 11,3773           00027                                    ITERCTR                               
052411,000858: 11,3774           00005                                    5                                     
052412,000859: 11,3775           25212                                    LAMBERT                               
052413,000860:                                                                                                  #  *****************************************************************************************************************
052414,000861:                                                                                                  #  *****************************************************************************************************************
052415,000862: 
052416,000863: 12,2000                                           SETLOC   ORBITAL1                              
052417,000864: 12,2000                                           BANK                                           
052418,000865: 
052419,000866: 12,3745           04631 23146  3/5                2DEC     .6         B-2                        
052420,000867: 
052421,000868: 12,3747           14000 00000  THREE/8            2DEC     .375                                  
052422,000869: 
052423,000870: 12,3751           02314 31463  .3D                2DEC     .3         B-2                        
052424,000871: 
052425,000872: 12,3753           01400 00000  3/64               2DEC     3          B-6                        
052426,000873: 
052427,000874: 12,3755           10000 00000  DP1/4              2DEC     .25                                   
052428,000875: 
052429,000876: 12,3757  12,3755               DQUARTER           EQUALS   DP1/4                                 
052430,000877: 12,3757  12,3755               POS1/4             EQUALS   DP1/4                                 
052431,000878: 12,3757           03000 00000  3/32               2DEC     3          B-5                        
052432,000879: 
052433,000880: 12,3761           36000 00000  15/16              2DEC     15.        B-4                        
052434,000881: 
052435,000882: 12,3763           30000 00000  3/4                2DEC     3.0        B-2                        
052436,000883: 
052437,000884: 12,3765           22525 12525  7/12               2DEC     .5833333333                            
052438,000885: 
052439,000886: 12,3767           22000 00000  9/16               2DEC     9          B-4                        
052440,000887: 
052441,000888: 12,3771           01200 00000  5/128              2DEC     5          B-7                        
052442,000889: 
052443,000890: 12,3773  12,2006               DPZERO             EQUALS   ZEROVEC                               
052444,000891: 12,3773           25252 25253  DP2/3              2DEC     .6666666667                            
052445,000892: 
052446,000893: 12,3775  12,3773               2/3                EQUALS   DP2/3                                 
052447,000894: 12,3775           00027        OCT27              OCT      27                                    
052448,000895: 

Page 1247

052450,000897: 13,3675                                           BANK     13                                    
052451,000898: 13,2000                                           SETLOC   ORBITAL2                              
052452,000899: 13,2000                                           BANK                                           
052453,000900:                                                                                                  #  IT IS VITAL THAT THE FOLLOWING CONSTANTS NOT BE SHUFFLED
052454,000901: 13,3675           77764                           DEC      -11        B-14                       
052455,000902: 13,3676           77775                           DEC      -2         B-14                       
052456,000903: 13,3677           77766                           DEC      -9         B-14                       
052457,000904: 13,3700           77771                           DEC      -6         B-14                       
052458,000905: 13,3701           77775                           DEC      -2         B-14                       
052459,000906: 13,3702           77775                           DEC      -2         B-14                       
052460,000907: 13,3703           00000                           DEC      0          B-14                       
052461,000908: 13,3704           77763                           DEC      -12        B-14                       
052462,000909: 13,3705           77766                           DEC      -9         B-14                       
052463,000910: 13,3706           77773                           DEC      -4         B-14                       
052464,000911: 13,3707           77770        ASCALE             DEC      -7         B-14                       
052465,000912: 13,3710           77771                           DEC      -6         B-14                       
052466,000913: 13,3711           24000 00000  5/8                2DEC     5          B-3                        
052467,000914: 
052468,000915: 13,3713           74631 63145  -1/12              2DEC     -.1                                   
052469,000916: 
052470,000917: 13,3715           00243 32703  RECRATIO           2DEC     .01                                   
052471,000918: 
052472,000919: 13,3717           03654 21000  RSPHERE            2DEC     64373.76   E3         B-29            
052473,000920: 
052474,000921: 13,3721           03654 21000  RDM                2DEC     16093.44   E3         B-27            
052475,000922: 
052476,000923: 13,3723           04627 25200  RDE                2DEC     80467.20   E3         B-29            
052477,000924: 
052478,000925: 13,3725                        RATT               EQUALS   00                                    
052479,000926: 13,3725                        VATT               EQUALS   6D                                    
052480,000927: 13,3725                        TAT                EQUALS   12D                                   
052481,000928: 13,3725                        RATT1              EQUALS   14D                                   
052482,000929: 13,3725                        VATT1              EQUALS   20D                                   
052483,000930: 13,3725                        MU(P)              EQUALS   26D                                   
052484,000931: 13,3725                        TDEC1              EQUALS   32D                                   
052485,000932: 13,3725                        URPV               EQUALS   14D                                   
052486,000933: 13,3725     0022               COSPHI/2           EQUALS   URPV       +4                         
052487,000934: 13,3725                        UZ                 EQUALS   20D                                   
052488,000935: 13,3725                        TVEC               EQUALS   26D                                   
052489,000936: 
052490,000937: 13,3725           71214        QUALITY1           BOF      DLOAD                                 
052491,000938: 13,3726           00343                                    MOONFLAG                              
052492,000939: 13,3727           23232                                    NBRANCH                               
052493,000940: 13,3730           00017                                    URPV                                  
052494,000941: 13,3731           77716                           DSQ                                            
052495,000942: 13,3732           63525        QUALITY2           PDDL     DSQ                                   #  SQUARE INTO 2D, B2
052496,000943: 13,3733           00021                                    URPV       +2                         #  Y COMPONENT, B1
052497,000944: 13,3734           77625                           DSU                                            
052498,000945: 13,3735           74205                           DMP      VXSC                                  #  5(Y**2-X**2)UR
052499,000946: 13,3736           27712                                    5/8                                   #  CONSTANT, 5B3
052500,000947: 13,3737           00017                                    URPV                                  #  VECTOR.  RESULT MAXIMUM IS 5, SCALING

Page 1248

052502,000949:                                                                                                  #  HERE B6
052503,000950: 13,3740           65332                           VSL3     PDDL                                  #  STORE SCALED B3 IN 2D, 4D, 6D FOR XYZ
052504,000951: 13,3741           00017                                    URPV                                  #  X COMPONENT, B1
052505,000952: 13,3742           43342                           SR1      DAD                                   #  2 X X COMPONENT FOR B3 SCALING
052506,000953: 13,3743           00003                                    2D                                    #  ADD TO VECTOR X COMPONENT OF ANSWER,
052507,000954:                                                                                                  #  SAME AS MULTIPLYING BY UNITX.  MAX IS 7.
052508,000955: 13,3744           14003                           STODL    2D                                    
052509,000956: 13,3745           00021                                    URPV       +2                         #  Y COMPONENT, B1
052510,000957: 13,3746           44342                           SR1      BDSU                                  #  2 X Y COMPONENT FOR B3 SCALING
052511,000958: 13,3747           00005                                    4D                                    #  SUBTRACT FROM VECTOR Y COMPONENT OF
052512,000959:                                                                                                  #  ANSWER, SAME AS MULTIPLYING BY UNITY.
052513,000960:                                                                                                  #  MAX IS 7.
052514,000961: 13,3750           00005                           STORE    4D                                    #  2D HAS VECTOR, B3.
052515,000962: 13,3751           74335                           SLOAD    VXSC                                  #  MULTIPLY COEFFIECIENT TIMES VECTOR IN 2D
052516,000963: 13,3752           01353                                    E3J22R2M                              
052517,000964: 13,3753           43525                           PDDL     RVQ                                   #  J22 TERM X R**4 IN 2D, SCALED B61
052518,000965: 13,3754           00023                                    COSPHI/2                              #  SAME AS URPV +4  Z COMPONENT
052519,000966: 

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