Source Code

These source-code files are part of a reconstructed copy of Luminary 98, a development version of the Apollo 11 Lunar Module (LM) Apollo Guidance Computer (AGC) software.

The reconstruction began with source code of Luminary 99 revision 1 previously transcribed from a digitized copy of that program. The code was then updated by undoing changes described in original Luminary memo 85, using asterisks indicating changed lines in the listing as a guide. While no listing of this version is known to exist, nor are the memory-bank checksums available, the reconstruction is believed to be correct because it was an an intermediate step in reconstructing Luminary 97 whose reconstruction was verified by matching memory-bank checksums to those listed in drawing 2021152G. Note that page numbers in the reconstructed code match those on the Luminary 099 revision 001 printout, although the added code would likely have changed page numbers for a real Luminary 98 listing.

Comments from the original source code are prefixed with a single '#' symbol, whereas comments added later are prefixed by "##" or "###". Report any errors noted by creating an issue report at the Virtual AGC project's GitHub repository.

051295,000002:                                                                                                  ## Copyright:   Public domain.
051296,000003:                                                                                                  ## Filename:    ORBITAL_INTEGRATION.agc
051297,000004:                                                                                                  ## Purpose:     A section of Luminary revision 98.
051298,000005:                                                                                                  ##              It is part of the reconstructed source code for the a
051299,000006:                                                                                                  ##              development version of the flight software for the Lunar 
051300,000007:                                                                                                  ##              Module's (LM) Apollo Guidance Computer (AGC) for Apollo 11.
051301,000008:                                                                                                  ##              The code has been recreated from a copy of Luminary 99
051302,000009:                                                                                                  ##              revision 001, using asterisks indicating changed lines in
051303,000010:                                                                                                  ##              the listing and Luminary Memo #85, which lists changes between
051304,000011:                                                                                                  ##              Luminary 98 and 99.
051305,000012:                                                                                                  ## Reference:   pp. 1227-1248
051306,000013:                                                                                                  ## Assembler:   yaYUL
051307,000014:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
051308,000015:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
051309,000016:                                                                                                  ## Mod history: 2019-07-28 MAS  Created from Luminary 99.
051310,000017: 

Page 1227

051312,000019:                                                                                                  #  DELETE
051313,000020: 13,3675                                           BANK     13                                    
051314,000021: 11,2000                                           SETLOC   ORBITAL                               
051315,000022: 11,2000                                           BANK                                           
051316,000023: 11,2376                                           COUNT*   $$/ORBIT                              
051317,000024: 
051318,000025:                                                                                                  #  DELETE
051319,000026: 11,2376           40354        KEPPREP            LXA,2    SETPD                                 
051320,000027: 11,2377           02030                                    PBODY                                 
051321,000028: 11,2400           00001                                    0                                     
051322,000029: 11,2401           75543                           DLOAD*   SQRT                                  #  SQRT(MU) (+18 OR +15)         0D      PL 2D
051323,000030: 11,2402           51770                                    MUEARTH,2                             
051324,000031: 11,2403           53515                           PDVL     UNIT                                  #                                        PL 8D
051325,000032: 11,2404           01535                                    RCV                                   
051326,000033: 11,2405           60325                           PDDL     NORM                                  #  NORM R (+29 OR +27 - N1)      2D      PL 4D
051327,000034: 11,2406           00045                                    36D                                   
051328,000035: 11,2407           00047                                    X1                                    
051329,000036: 11,2410           77715                           PDVL                                           
051330,000037: 11,2411           65241                           DOT      PDDL                                  #  F*SQRT(MU) (+7 OR +5)         4D      PL 6D
051331,000038: 11,2412           01543                                    VCV                                   
051332,000039: 11,2413           02074                                    TAU.                                  #  (+28)
051333,000040: 11,2414           60225                           DSU      NORM                                  
051334,000041: 11,2415           01551                                    TC                                    
051335,000042: 11,2416           00051                                    S1                                    
051336,000043: 11,2417           77742                           SR1                                            
051337,000044: 11,2420           65271                           DDV      PDDL                                  
051338,000045: 11,2421           00003                                    2D                                    
051339,000046: 11,2422           41405                           DMP      PUSH                                  #  FS (+6 +N1-N2)                6D      PL 8D
051340,000047: 11,2423           00005                                    4D                                    
051341,000048: 11,2424           65316                           DSQ      PDDL                                  #  (FS)SQ (+12 +2(N1-N2))        8D      PL 10D
051342,000049: 11,2425           00005                                    4D                                    
051343,000050: 11,2426           64716                           DSQ      PDDL*                                 #  SSQ/MU (-2 OR +2(N1-N2))      10D     PL 12D
051344,000051: 11,2427           51770                                    MUEARTH,2                             
051345,000052: 11,2430           40442                           SR3      SR4                                   
051346,000053: 11,2431           47515                           PDVL     VSQ                                   #  PREALIGN MU (+43 OR +37)      12D     PL 14D
051347,000054: 11,2432           01543                                    VCV                                   
051348,000055: 11,2433           44205                           DMP      BDSU                                  #                                        PL 12D
051349,000056: 11,2434           00045                                    36D                                   
051350,000057: 11,2435           41271                           DDV      DMP                                   #                                        PL 10D
051351,000058: 11,2436           00003                                    2D                                    #  -(1/R-ALPHA) (+12 +3N1-2N2)
051352,000059: 11,2437           53605                           DMP      SL*                                   
051353,000060: 11,2440           25774                                    DP2/3                                 
051354,000061: 11,2441           20176                                    0          -3,1                       #  10L(1/R-ALPHA) (+13 +2(N1-N2))
051355,000062: 11,2442           43260                           XSU,1    DAD                                   #  2(FS)SQ - ETCETRA                     PL 8D
051356,000063: 11,2443           00050                                    S1                                    #  X1 = N2-N1
051357,000064: 11,2444           45257                           SL*      DSU                                   #  -FS+2(FS)SQ ETC (+6 +N1-N2)           PL 6D
051358,000065: 11,2445           20211                                    8D,1                                  
051359,000066: 11,2446           41205                           DMP      DMP                                   
051360,000067: 11,2447           00001                                    0D                                    
051361,000068: 11,2450           00005                                    4D                                    
051362,000069: 11,2451           53657                           SL*      SL*                                   

Page 1228

051364,000071: 11,2452           20211                                    8D,1                                  
051365,000072: 11,2453           20201                                    0,1                                   #  S(-FS(1-2FS)-1/6...) (+17 OR +16)
051366,000073: 11,2454           65215                           DAD      PDDL                                  #                                        PL 6D
051367,000074: 11,2455           01553                                    XKEP                                  
051368,000075: 11,2456           53605                           DMP      SL*                                   #  S(+17 OR +16)
051369,000076: 11,2457           00001                                    0D                                    
051370,000077: 11,2460           20202                                    1,1                                   
051371,000078: 11,2461           43204                           BOVB     DAD                                   
051372,000079: 11,2462           57753                                    TCDANZIG                              
051373,000080: 11,2463           77626                           STADR                                          
051374,000081: 11,2464           75647                           STORE    XKEPNEW                               
051375,000082: 11,2465           74020                           STQ      AXC,1                                 
051376,000083: 11,2466           02112                                    KEPRTN                                
051377,000084: 11,2467           00012                           DEC      10         B-14                       
051378,000085: 11,2470           74014                           BON      AXC,1                                 
051379,000086: 11,2471           00303                                    MOONFLAG                              
051380,000087: 11,2472           24023                                    KEPLERN                               
051381,000088: 11,2473           00002                           DEC      2          B-14                       
051382,000089: 11,2474           77650                           GOTO                                           
051383,000090: 11,2475           24023                                    KEPLERN                               
051384,000091: 

Page 1229

051386,000093: 11,2476           66350        FBR3               LXA,1    SSP                                   
051387,000094: 11,2477           01500                                    DIFEQCNT                              
051388,000095: 11,2500           00051                                    S1                                    
051389,000096: 11,2501           77762                           DEC      -13        B-14                       
051390,000097: 11,2502           54345                           DLOAD    SR                                    
051391,000098: 11,2503           02076                                    DT/2                                  
051392,000099: 11,2504           20612                                    9D                                    
051393,000100: 11,2505           61500                           TIX,1    ROUND                                 
051394,000101: 11,2506           22507                                    +1                                    
051395,000102: 11,2507           43206                           PUSH     DAD                                   
051396,000103: 11,2510           01551                                    TC                                    
051397,000104: 11,2511           16074                           STODL    TAU.                                  
051398,000105: 11,2512           77615                           DAD                                            
051399,000106: 11,2513           01517                                    TET                                   
051400,000107: 11,2514           35517                           STCALL   TET                                   
051401,000108: 11,2515           22376                                    KEPPREP                               
051402,000109: 

Page 1230

051404,000111:                                                                                                  #  AGC ROUTINE TO COMPUTE ACCELERATION COMPONENTS.
051405,000112: 
051406,000113: 11,2516           73150        ACCOMP             LXA,1    LXA,2                                 
051407,000114: 11,2517           02030                                    PBODY                                 
051408,000115: 11,2520           02030                                    PBODY                                 
051409,000116: 11,2521           77775                           VLOAD                                          
051410,000117: 11,2522           24007                                    ZEROVEC                               
051411,000118: 11,2523           26062                           STOVL    FV                                    
051412,000119: 11,2524           02032                                    ALPHAV                                
051413,000120: 11,2525           53257                           VSL*     VAD                                   
051414,000121: 11,2526           57605                                    0          -7,2                       
051415,000122: 11,2527           01535                                    RCV                                   
051416,000123: 11,2530           02040                           STORE    BETAV                                 
051417,000124: 11,2531           65014                           BOF      XCHX,2                                
051418,000125: 11,2532           01756                                    DIM0FLAG                              
051419,000126: 11,2533           22540                                    +5                                    
051420,000127: 11,2534           01500                                    DIFEQCNT                              
051421,000128: 11,2535           12132                           STORE    VECTAB,2                              
051422,000129: 11,2536           77724                           XCHX,2                                         
051423,000130: 11,2537           01500                                    DIFEQCNT                              
051424,000131: 11,2540           53575                           VLOAD    UNIT                                  
051425,000132: 11,2541           02032                                    ALPHAV                                
051426,000133: 11,2542           16032                           STODL    ALPHAV                                
051427,000134: 11,2543           00045                                    36D                                   
051428,000135: 11,2544           02070                           STORE    ALPHAM                                
051429,000136: 11,2545           77624                           CALL                                           
051430,000137: 11,2546           22650                                    GAMCOMP                               
051431,000138: 11,2547           66175                           VLOAD    SXA,1                                 
051432,000139: 11,2550           02040                                    BETAV                                 
051433,000140: 11,2551           00051                                    S2                                    
051434,000141: 11,2552           16032                           STODL    ALPHAV                                
051435,000142: 11,2553           02072                                    BETAM                                 
051436,000143: 11,2554           02070                           STORE    ALPHAM                                
051437,000144: 11,2555           71214                           BOF      DLOAD                                 
051438,000145: 11,2556           00342                                    MIDFLAG                               
051439,000146: 11,2557           23022                                    OBLATE                                
051440,000147: 11,2560           01517                                    TET                                   
051441,000148: 11,2561           77624                           CALL                                           
051442,000149: 11,2562           33664                                    LSPOS                                 
051443,000150: 11,2563           72174                           AXT,2    LXA,1                                 
051444,000151: 11,2564           00002                                    2                                     
051445,000152: 11,2565           00051                                    S2                                    
051446,000153: 11,2566           77614                           BOF                                            
051447,000154: 11,2567           00343                                    MOONFLAG                              
051448,000155: 11,2570           22573                                    +3                                    
051449,000156: 11,2571           77076                           VCOMP    AXT,2                                 
051450,000157: 11,2572           00000                                    0                                     
051451,000158: 11,2573           02040                           STORE    BETAV                                 
051452,000159: 11,2574           26105                           STOVL    RPQV                                  

Page 1231

051454,000161: 11,2575           00003                                    2D                                    
051455,000162: 11,2576           02122                           STORE    RPSV                                  
051456,000163: 11,2577           45335                           SLOAD    DSU                                   
051457,000164: 11,2600           01012                                    MODREG                                
051458,000165: 11,2601           25776                                    OCT27                                 
051459,000166: 11,2602           43030                           BHIZ     BOF                                   
051460,000167: 11,2603           22606                                    +3                                    
051461,000168: 11,2604           01756                                    DIM0FLAG                              
051462,000169: 11,2605           22622                                    GETRPSV                               
051463,000170: 11,2606           74375                           VLOAD    VXSC                                  
051464,000171: 11,2607           02032                                    ALPHAV                                
051465,000172: 11,2610           02070                                    ALPHAM                                
051466,000173: 11,2611           52257                           VSR*     VSU                                   
051467,000174: 11,2612           57175                                    1,2                                   
051468,000175: 11,2613           02040                                    BETAV                                 
051469,000176: 11,2614           77724                           XCHX,2                                         
051470,000177: 11,2615           01500                                    DIFEQCNT                              
051471,000178: 11,2616           12140                           STORE    VECTAB     +6,2                       
051472,000179: 11,2617           02114                           STORE    RQVV                                  
051473,000180: 11,2620           77724                           XCHX,2                                         
051474,000181: 11,2621           01500                                    DIFEQCNT                              
051475,000182: 11,2622           62175        GETRPSV            VLOAD    INCR,1                                
051476,000183: 11,2623           02105                                    RPQV                                  
051477,000184: 11,2624           00004                                    4                                     
051478,000185: 11,2625           43014                           CLEAR    BOF                                   
051479,000186: 11,2626           04260                                    RPQFLAG                               
051480,000187: 11,2627           00343                                    MOONFLAG                              
051481,000188: 11,2630           22635                                    +5                                    
051482,000189: 11,2631           53261                           VSR      VAD                                   
051483,000190: 11,2632           20612                                    9D                                    
051484,000191: 11,2633           02122                                    RPSV                                  
051485,000192: 11,2634           02122                           STORE    RPSV                                  
051486,000193: 11,2635           77624                           CALL                                           
051487,000194: 11,2636           22650                                    GAMCOMP                               
051488,000195: 11,2637           62174                           AXT,2    INCR,1                                
051489,000196: 11,2640           00004                                    4                                     
051490,000197: 11,2641           00004                                    4                                     
051491,000198: 11,2642           77775                           VLOAD                                          
051492,000199: 11,2643           02122                                    RPSV                                  
051493,000200: 11,2644           36040                           STCALL   BETAV                                 
051494,000201: 11,2645           22650                                    GAMCOMP                               
051495,000202: 11,2646           77650                           GOTO                                           
051496,000203: 11,2647           23022                                    OBLATE                                
051497,000204: 11,2650           74575        GAMCOMP            VLOAD    VSR1                                  
051498,000205: 11,2651           02040                                    BETAV                                 
051499,000206: 11,2652           40236                           VSQ      SETPD                                 
051500,000207: 11,2653           00001                                    0                                     
051501,000208: 11,2654           61501                           NORM     ROUND                                 
051502,000209: 11,2655           00040                                    31D                                   
051503,000210: 11,2656           60325                           PDDL     NORM                                  #  NORMED B SQUARED TO PD LIST

Page 1232

051505,000212: 11,2657           02070                                    ALPHAM                                #  NORMALIZE (LESS ONE) LENGTH OF ALPHA
051506,000213: 11,2660           00041                                    32D                                   #  SAVING NORM SCALE FACTOR IN X1
051507,000214: 11,2661           63342                           SR1      PDVL                                  
051508,000215: 11,2662           02040                                    BETAV                                 #  C(PDL+2) = ALMOST NORMED ALPHA
051509,000216: 11,2663           77656                           UNIT                                           
051510,000217: 11,2664           16040                           STODL    BETAV                                 
051511,000218: 11,2665           00045                                    36D                                   
051512,000219: 11,2666           02072                           STORE    BETAM                                 
051513,000220: 11,2667           55301                           NORM     BDDV                                  #  FORM NORMALIZED QUOTIENT ALPHAM/BETAM
051514,000221: 11,2670           00042                                    33D                                   
051515,000222: 11,2671           41562                           SR1R     PUSH                                  #  C(PDL+2) = ALMOST NORMALIZED RHO.
051516,000223: 11,2672           77743                           DLOAD*                                         
051517,000224: 11,2673           27710                                    ASCALE,1                              
051518,000225: 11,2674           00051                           STORE    S1                                    
051519,000226: 11,2675           57124                           XCHX,2   XAD,2                                 
051520,000227: 11,2676           00050                                    S1                                    
051521,000228: 11,2677           00040                                    32D                                   
051522,000229: 11,2700           71264                           XSU,2    DLOAD                                 
051523,000230: 11,2701           00041                                    33D                                   
051524,000231: 11,2702           00003                                    2D                                    
051525,000232: 11,2703           65057                           SR*      XCHX,2                                
051526,000233: 11,2704           57177                                    0          -1,2                       
051527,000234: 11,2705           00050                                    S1                                    
051528,000235: 11,2706           74406                           PUSH     SR1R                                  #  RHO/4 TO 4D
051529,000236: 11,2707           50315                           PDVL     DOT                                   
051530,000237: 11,2710           02032                                    ALPHAV                                
051531,000238: 11,2711           02040                                    BETAV                                 
051532,000239: 11,2712           44372                           SL1R     BDSU                                  #  (RHO/4) - 2(ALPHAV/2.BETAV/2)
051533,000240: 11,2713           57206                           PUSH     DMPR                                  #  TO PDL+6
051534,000241: 11,2714           00005                                    4                                     
051535,000242: 11,2715           77752                           SL1                                            
051536,000243: 11,2716           43206                           PUSH     DAD                                   
051537,000244: 11,2717           25756                                    DQUARTER                              
051538,000245: 11,2720           75406                           PUSH     SQRT                                  
051539,000246: 11,2721           41475                           DMPR     PUSH                                  
051540,000247: 11,2722           00013                                    10D                                   
051541,000248: 11,2723           43352                           SL1      DAD                                   
051542,000249: 11,2724           25756                                    DQUARTER                              
051543,000250: 11,2725           43325                           PDDL     DAD                                   #  (1/4)+2((Q+1)/4)      TO PD+14D
051544,000251: 11,2726           00013                                    10D                                   
051545,000252: 11,2727           24005                                    HALFDP                                
051546,000253: 11,2730           72475                           DMPR     SL1                                   
051547,000254: 11,2731           00011                                    8D                                    
051548,000255: 11,2732           56215                           DAD      DDV                                   
051549,000256: 11,2733           25750                                    THREE/8                               
051550,000257: 11,2734           00017                                    14D                                   
051551,000258: 11,2735           74275                           DMPR     VXSC                                  
051552,000259: 11,2736           00007                                    6                                     
051553,000260: 11,2737           02040                                    BETAV                                 #                -
051554,000261: 11,2740           64515                           PDVL     VSR3                                  #  (G/2)(C(PD+4))B/2 TO PD+16D

Page 1233

051556,000263: 11,2741           02032                                    ALPHAV                                
051557,000264: 11,2742           41455                           VAD      PUSH                                  #  A12 + C(PD+16D) TO PD+16D
051558,000265: 11,2743           41345                           DLOAD    DMP                                   
051559,000266: 11,2744           00001                                    0                                     
051560,000267: 11,2745           00015                                    12D                                   
051561,000268: 11,2746           61501                           NORM     ROUND                                 
051562,000269: 11,2747           00037                                    30D                                   
051563,000270: 11,2750           40665                           BDDV     DMP*                                  
051564,000271: 11,2751           00003                                    2                                     
051565,000272: 11,2752           51770                                    MUEARTH,2                             
051566,000273: 11,2753           74276                           DCOMP    VXSC                                  
051567,000274: 11,2754           57124                           XCHX,2   XAD,2                                 
051568,000275: 11,2755           00050                                    S1                                    
051569,000276: 11,2756           00051                                    S2                                    
051570,000277: 11,2757           55064                           XSU,2    XSU,2                                 
051571,000278: 11,2760           00036                                    30D                                   
051572,000279: 11,2761           00037                                    31D                                   
051573,000280: 11,2762           77600                           BOV                                            #  CLEAR OVIND
051574,000281: 11,2763           22764                                    +1                                    
051575,000282: 11,2764           65057                           VSR*     XCHX,2                                
051576,000283: 11,2765           57177                                    0          -1,2                       
051577,000284: 11,2766           00050                                    S1                                    
051578,000285: 11,2767           77655                           VAD                                            
051579,000286: 11,2770           02062                                    FV                                    
051580,000287: 11,2771           02062                           STORE    FV                                    
051581,000288: 11,2772           43400                           BOV      RVQ                                   #  RETURN IF NO OVERFLOW
051582,000289: 11,2773           22774                                    +1                                    
051583,000290: 11,2774           51575        GOBAQUE            VLOAD    ABVAL                                 
051584,000291: 11,2775           01521                                    TDELTAV                               
051585,000292: 11,2776           77654                           BZE                                            
051586,000293: 11,2777           23017                                    INT-ABRT                              
051587,000294: 11,3000           54345                           DLOAD    SR                                    
051588,000295: 11,3001           02100                                    H                                     
051589,000296: 11,3002           20612                                    9D                                    
051590,000297: 11,3003           44206                           PUSH     BDSU                                  
051591,000298: 11,3004           01551                                    TC                                    
051592,000299: 11,3005           16074                           STODL    TAU.                                  
051593,000300: 11,3006           01517                                    TET                                   
051594,000301: 11,3007           45425                           DSU      STADR                                 
051595,000302: 11,3010           42260                           STCALL   TET                                   
051596,000303: 11,3011           22376                                    KEPPREP                               
051597,000304: 11,3012           77624                           CALL                                           
051598,000305: 11,3013           23441                                    RECTIFY                               
051599,000306: 11,3014           77614                           SETGO                                          
051600,000307: 11,3015           04020                                    RPQFLAG                               
051601,000308: 11,3016           27257                                    TESTLOOP                              
051602,000309: 
051603,000310: 11,3017           77776        INT-ABRT           EXIT                                           
051604,000311: 11,3020           05652                           TC       POODOO                                
051605,000312: 11,3021           00430                           OCT      00430                                 
051606,000313: 

Page 1234

051608,000315:                                                                                                  #  THE OBLATE ROUTINE COMPUTES THE ACCELERATION DUE TO OBLATENESS.  IT USES THE UNIT OF THE VEHICLE
051609,000316:                                                                                                  #  POSITION VECTOR FOUND IN ALPHAV AND THE DISTANCE TO THE CENTER IN ALPHAM.  THIS IS ADDED TO THE SUM OF THE
051610,000317:                                                                                                  #  DISTURBING ACCELERATIONS IN FV AND THE PROPER DIFEQ STAGE IS CALLED VIA X1.
051611,000318: 
051612,000319: 11,3022           71354        OBLATE             LXA,2    DLOAD                                 
051613,000320: 11,3023           02030                                    PBODY                                 
051614,000321: 11,3024           02070                                    ALPHAM                                
051615,000322: 11,3025           44601                           SETPD    DSU*                                  
051616,000323: 11,3026           00001                                    0                                     
051617,000324: 11,3027           50053                                    RDE,2                                 
051618,000325: 11,3030           43044                           BPL      BOF                                   #  GET URPV
051619,000326: 11,3031           23232                                    NBRANCH                               
051620,000327: 11,3032           00343                                    MOONFLAG                              
051621,000328: 11,3033           23241                                    COSPHIE                               
051622,000329: 11,3034           65375                           VLOAD    PDDL                                  
051623,000330: 11,3035           02032                                    ALPHAV                                
051624,000331: 11,3036           01517                                    TET                                   
051625,000332: 11,3037           45125                           PDDL     CALL                                  
051626,000333: 11,3040           25746                                    3/5                                   
051627,000334: 11,3041           51670                                    R-TO-RP                               
051628,000335: 11,3042           00017                           STORE    URPV                                  
051629,000336: 11,3043           47375                           VLOAD    VXV                                   
051630,000337: 11,3044           02013                                    504LM                                 
051631,000338: 11,3045           24001                                    ZUNIT                                 
051632,000339: 11,3046           61255                           VAD      VXM                                   
051633,000340: 11,3047           24001                                    ZUNIT                                 
051634,000341: 11,3050           00025                                    MMATRIX                               
051635,000342: 11,3051           77656                           UNIT                                           #  POSSIBLY UNNECESSARY
051636,000343: 11,3052           00025        COMTERM            STORE    UZ                                    
051637,000344: 11,3053           57345                           DLOAD    DMPR                                  
051638,000345: 11,3054           00023                                    COSPHI/2                              
051639,000346: 11,3055           25760                                    3/32                                  
051640,000347: 11,3056           63525                           PDDL     DSQ                                   #  P2/64 TO PD0
051641,000348: 11,3057           00023                                    COSPHI/2                              
051642,000349: 11,3060           45275                           DMPR     DSU                                   
051643,000350: 11,3061           25762                                    15/16                                 
051644,000351: 11,3062           25754                                    3/64                                  
051645,000352: 11,3063           57206                           PUSH     DMPR                                  #  P3/32 TO PD2
051646,000353: 11,3064           00023                                    COSPHI/2                              
051647,000354: 11,3065           76405                           DMP      SL1R                                  
051648,000355: 11,3066           25766                                    7/12                                  
051649,000356: 11,3067           57325                           PDDL     DMPR                                  
051650,000357: 11,3070           00001                                    0                                     
051651,000358: 11,3071           25774                                    2/3                                   
051652,000359: 11,3072           41421                           BDSU     PUSH                                  #  P4/128 TO PD4
051653,000360: 11,3073           57275                           DMPR     DMPR                                  
051654,000361: 11,3074           00023                                    COSPHI/2                              #  BEGIN COMPUTING P5/1024
051655,000362: 11,3075           25770                                    9/16                                  
051656,000363: 11,3076           57325                           PDDL     DMPR                                  
051657,000364: 11,3077           00003                                    2                                     
051658,000365: 11,3100           25772                                    5/128                                 

Page 1235

051660,000367: 11,3101           77621                           BDSU                                           
051661,000368: 11,3102           77603                           DMP*                                           
051662,000369: 11,3103           51764                                    J4REQ/J3,2                            
051663,000370: 11,3104           43271                           DDV      DAD                                   #               -3
051664,000371: 11,3105           02070                                    ALPHAM                                #  (((P5/256)B 2  /R+P4/32)  /R+P3/8)ALPHAV
051665,000372: 11,3106           00005                                    4                                     #             4             3
051666,000373: 11,3107           56273                           DMPR*    DDV                                   
051667,000374: 11,3110           51760                                    2J3RE/J2,2                            
051668,000375: 11,3111           02070                                    ALPHAM                                
051669,000376: 11,3112           74215                           DAD      VXSC                                  
051670,000377: 11,3113           00003                                    2                                     
051671,000378: 11,3114           02032                                    ALPHAV                                
051672,000379: 11,3115           14033                           STODL    TVEC                                  
051673,000380: 11,3116           70403                           DMP*     SR1                                   
051674,000381: 11,3117           51764                                    J4REQ/J3,2                            
051675,000382: 11,3120           43271                           DDV      DAD                                   
051676,000383: 11,3121           02070                                    ALPHAM                                #                -3
051677,000384: 11,3122           50473                           DMPR*    SR3                                   
051678,000385: 11,3123           51760                                    2J3RE/J2,2                            #     3        4
051679,000386: 11,3124           43271                           DDV      DAD                                   
051680,000387: 11,3125           02070                                    ALPHAM                                
051681,000388: 11,3126           76561                           VXSC     VSL1                                  
051682,000389: 11,3127           00025                                    UZ                                    
051683,000390: 11,3130           77645                           BVSU                                           
051684,000391: 11,3131           00033                                    TVEC                                  
051685,000392: 11,3132           14033                           STODL    TVEC                                  
051686,000393: 11,3133           02070                                    ALPHAM                                
051687,000394: 11,3134           63501                           NORM     DSQ                                   
051688,000395: 11,3135           00047                                    X1                                    
051689,000396: 11,3136           60316                           DSQ      NORM                                  
051690,000397: 11,3137           00051                                    S1                                    #          4
051691,000398: 11,3140           54606                           PUSH     BDDV*                                 #  NORMED R  TO 0D
051692,000399: 11,3141           51754                                    J2REQSQ,2                             
051693,000400: 11,3142           40161                           VXSC     BOV                                   
051694,000401: 11,3143           00033                                    TVEC                                  
051695,000402: 11,3144           23145                                    +1                                    #  (RESET OVERFLOW INDICATOR)
051696,000403: 11,3145           56070                           XAD,1    XAD,1                                 
051697,000404: 11,3146           00046                                    X1                                    
051698,000405: 11,3147           00046                                    X1                                    
051699,000406: 11,3150           53670                           XAD,1    VSL*                                  
051700,000407: 11,3151           00050                                    S1                                    
051701,000408: 11,3152           20153                                    0          -22D,1                     
051702,000409: 11,3153           40055                           VAD      BOV                                   
051703,000410: 11,3154           02062                                    FV                                    
051704,000411: 11,3155           22774                                    GOBAQUE                               
051705,000412: 11,3156           36062                           STCALL   FV                                    
051706,000413: 11,3157           27725                                    QUALITY1                              
051707,000414: 
051708,000415: 11,3160           77716        QUALITY3           DSQ                                            #  J22 TERM X R**4 IN 2D, SCALED B61
051709,000416:                                                                                                  #  AS VECTOR.

Page 1236

051711,000418: 11,3161           41206                           PUSH     DMP                                   #  STORE COSPHI**2 SCALED B2 IN 8D
051712,000419: 11,3162           27712                                    5/8                                   #  5 SCALED B3
051713,000420: 11,3163           60525                           PDDL     SR2                                   #  PUT 5 COSPHI**2, D5, IN 8D.  GET
051714,000421:                                                                                                  #  COSPHI**2 D2 FROM 8D
051715,000422: 11,3164           44215                           DAD      BDSU                                  #  END UP WITH (1-7 COSPHI**2), B5
051716,000423: 11,3165           00011                                    8D                                    #  ADDING COSPHI**2 B4 SAME AS COSPHI**2
051717,000424:                                                                                                  #  X 2 D5
051718,000425: 11,3166           11043                                    D1/32                                 #  1 SCALED B5
051719,000426: 11,3167           41205                           DMP      DMP                                   
051720,000427: 11,3170           00017                                    URPV                                  #  X COMPONENT
051721,000428: 11,3171           27712                                    5/8                                   #  5 SCALED B3
051722,000429: 11,3172           56561                           VXSC     VSL5                                  #  AFTER SHIFT, SCALED B5
051723,000430: 11,3173           00017                                    URPV                                  #  VECTOR, B1.
051724,000431: 11,3174           77725                           PDDL                                           #  VECTOR INTO 8D, 10D, 12D, SCALED B5.
051725,000432:                                                                                                  #  GET 5 COSPHI**2 OUT OF 8D
051726,000433: 11,3175           43225                           DSU      DAD                                   
051727,000434: 11,3176           11043                                    D1/32                                 #  1 B5
051728,000435: 11,3177           00011                                    8D                                    #  X COMPONENT (SAME AS MULTIPLYING
051729,000436:                                                                                                  #  BY UNITX)
051730,000437: 11,3200           14011                           STODL    8D                                    
051731,000438: 11,3201           00017                                    URPV                                  #  X COMPONENT
051732,000439: 11,3202           41205                           DMP      DMP                                   
051733,000440: 11,3203           00023                                    URPV       +4                         #  Z COMPONENT
051734,000441: 11,3204           27712                                    5/8                                   #  5 B3 ANSWER B5
051735,000442: 11,3205           43352                           SL1      DAD                                   #  FROM 12D FOR Z COMPONENT (SL1 GIVES 10
051736,000443:                                                                                                  #  INSTEAD OF 5 FOR COEFFICIENT)
051737,000444: 11,3206           60325                           PDDL     NORM                                  #  BACK INTO 12D FOR Z COMPONENT.
051738,000445: 11,3207           02070                                    ALPHAM                                #  SCALED B27 FOR MOON
051739,000446: 11,3210           00050                                    X2                                    
051740,000447: 11,3211           67206                           PUSH     SLOAD                                 #  STORE IN 14D, DESTROYING URPV
051741,000448:                                                                                                  #  X COMPONENT
051742,000449: 11,3212           01354                                    E32C31RM                              
051743,000450: 11,3213           74271                           DDV      VXSC                                  #  IF X2 = 0, DIVISION GIVES B53, VXSC
051744,000451:                                                                                                  #  OUT OF 8D B5 GIVES B58
051745,000452: 11,3214           53257                           VSL*     VAD                                   #  SHIFT MAKES B61, FOR ADDITION OF 
051746,000453:                                                                                                  #  VECTOR IN 2D
051747,000454: 11,3215           57601                                    0          -3,2                       
051748,000455: 11,3216           70257                           VSL*     V/SC                                  #  OPERAND FROM 0D, B108 FOR X1 = 0
051749,000456: 11,3217           20146                                    0          -27D,1                     #  FOR X1 = 0, MAKES B88, GIVING B-20
051750,000457:                                                                                                  #  FOR RESULT.
051751,000458: 11,3220           65325                           PDDL     PDDL                                  
051752,000459: 11,3221           01517                                    TET                                   
051753,000460: 11,3222           27712                                    5/8                                   #  ANY NON-ZERO CONSTANT
051754,000461: 11,3223           45154                           LXA,2    CALL                                  #  POSITION IN 0D, TIME IN 6D.  X2 LEFT
051755,000462:                                                                                                  #  ALONE.
051756,000463: 11,3224           02030                                    PBODY                                 
051757,000464: 11,3225           55716                                    RP-TO-R                               
051758,000465: 11,3226           40055                           VAD      BOV                                   #  OVERFLOW INDICATOR RESET IN "RP-TO-R"
051759,000466: 11,3227           02062                                    FV                                    
051760,000467: 11,3230           22774                                    GOBAQUE                               

Page 1237

051762,000469: 11,3231           02062                           STORE    FV                                    
051763,000470: 11,3232           72135        NBRANCH            SLOAD    LXA,1                                 
051764,000471: 11,3233           01501                                    DIFEQCNT                              
051765,000472: 11,3234           00154                                    MPAC                                  
051766,000473: 11,3235           73205                           DMP      CGOTO                                 
051767,000474: 11,3236           27714                                    -1/12                                 
051768,000475: 11,3237           00155                                    MPAC                                  
051769,000476: 11,3240           23247                                    DIFEQTAB                              
051770,000477: 11,3241           77745        COSPHIE            DLOAD                                          
051771,000478: 11,3242           02036                                    ALPHAV     +4                         
051772,000479: 11,3243           24023                           STOVL    COSPHI/2                              
051773,000480: 11,3244           24001                                    ZUNIT                                 
051774,000481: 11,3245           77650                           GOTO                                           
051775,000482: 11,3246           23052                                    COMTERM                               
051776,000483: 11,3247           23466        DIFEQTAB           CADR     DIFEQ+0                               
051777,000484: 11,3250           23472                           CADR     DIFEQ+1                               
051778,000485: 11,3251           23503                           CADR     DIFEQ+2                               
051779,000486: 11,3252           77214        TIMESTEP           BOF      VLOAD                                 
051780,000487: 11,3253           00342                                    MIDFLAG                               
051781,000488: 11,3254           23303                                    RECTEST                               
051782,000489: 11,3255           01535                                    RCV                                   
051783,000490: 11,3256           41241                           DOT      DMP                                   
051784,000491: 11,3257           01543                                    VCV                                   
051785,000492: 11,3260           02076                                    DT/2                                  #  (R.V) X (DELTA T)
051786,000493: 11,3261           77640                           BMN                                            
051787,000494: 11,3262           23303                                    RECTEST                               
051788,000495: 11,3263           43014                           BON      BOF                                   
051789,000496: 11,3264           00303                                    MOONFLAG                              
051790,000497: 11,3265           23360                                    LUNSPH                                
051791,000498: 11,3266           04340                                    RPQFLAG                               
051792,000499: 11,3267           23355                                    EARSPH                                
051793,000500: 11,3270           45145                           DLOAD    CALL                                  
051794,000501: 11,3271           01517                                    TET                                   
051795,000502: 11,3272           33664                                    LSPOS                                 #  RPQV IN MPAC
051796,000503: 11,3273           02105                           STORE    RPQV                                  #  RPQV
051797,000504: 11,3274           77754                           LXA,2                                          
051798,000505: 11,3275           02030                                    PBODY                                 
051799,000506: 11,3276           51445        INLUNCHK           BVSU     ABVAL                                 
051800,000507: 11,3277           01535                                    RCV                                   
051801,000508: 11,3300           50025                           DSU      BMN                                   
051802,000509: 11,3301           27720                                    RSPHERE                               
051803,000510: 11,3302           23375                                    DOSWITCH                              
051804,000511: 11,3303           51575        RECTEST            VLOAD    ABVAL                                 #  RECTIFY IF
051805,000512: 11,3304           01521                                    TDELTAV                               
051806,000513: 11,3305           77600                           BOV                                            
051807,000514: 11,3306           23331                                    CALLRECT                              
051808,000515: 11,3307           51025                           DSU      BPL                                   #        1) EITHER TDELTAV OR TNUV EQUALS OR
051809,000516: 11,3310           25764                                    3/4                                   #           EXCEEDS 3/4 IN MAGNITUDE
051810,000517: 11,3311           23331                                    CALLRECT                              
051811,000518: 11,3312           53615                           DAD      SL*                                   #                        OR

Page 1238

051813,000520: 11,3313           25764                                    3/4                                   
051814,000521: 11,3314           57605                                    0          -7,2                       #        2) ABVAL(TDELTAV) EQUALS OR EXCEEDS
051815,000522: 11,3315           45271                           DDV      DSU                                   #           .01(ABVAL(RCV))
051816,000523: 11,3316           00013                                    10D                                   
051817,000524: 11,3317           27716                                    RECRATIO                              
051818,000525: 11,3320           77244                           BPL      VLOAD                                 
051819,000526: 11,3321           23331                                    CALLRECT                              
051820,000527: 11,3322           01527                                    TNUV                                  
051821,000528: 11,3323           45246                           ABVAL    DSU                                   
051822,000529: 11,3324           25764                                    3/4                                   
051823,000530: 11,3325           77600                           BOV                                            
051824,000531: 11,3326           23331                                    CALLRECT                              
051825,000532: 11,3327           77640                           BMN                                            
051826,000533: 11,3330           23333                                    INTGRATE                              
051827,000534: 11,3331           77624        CALLRECT           CALL                                           
051828,000535: 11,3332           23441                                    RECTIFY                               
051829,000536: 11,3333           77775        INTGRATE           VLOAD                                          
051830,000537: 11,3334           01527                                    TNUV                                  
051831,000538: 11,3335           25135                           STOVL    ZV                                    
051832,000539: 11,3336           01521                                    TDELTAV                               
051833,000540: 11,3337           01127                           STORE    YV                                    
051834,000541: 11,3340           77614                           CLEAR                                          
051835,000542: 11,3341           00261                                    JSWITCH                               
051836,000543: 11,3342           66375        DIFEQ0             VLOAD    SSP                                   
051837,000544: 11,3343           01127                                    YV                                    
051838,000545: 11,3344           01501                                    DIFEQCNT                              
051839,000546: 11,3345           00000                                    0                                     
051840,000547: 11,3346           16032                           STODL    ALPHAV                                
051841,000548: 11,3347           24007                                    DPZERO                                
051842,000549: 11,3350           02100                           STORE    H                                     #  START H AT ZERO.  GOES 0(DELT/2)DELT.
051843,000550: 11,3351           52014                           BON      GOTO                                  
051844,000551: 11,3352           00301                                    JSWITCH                               
051845,000552: 11,3353           23705                                    DOW..                                 
051846,000553: 11,3354           22516                                    ACCOMP                                
051847,000554: 11,3355           52175        EARSPH             VLOAD    GOTO                                  
051848,000555: 11,3356           02105                                    RPQV                                  
051849,000556: 11,3357           23276                                    INLUNCHK                              
051850,000557: 11,3360           60545        LUNSPH             DLOAD    SR2                                   
051851,000558: 11,3361           00013                                    10D                                   
051852,000559: 11,3362           50025                           DSU      BMN                                   
051853,000560: 11,3363           27720                                    RSPHERE                               
051854,000561: 11,3364           23303                                    RECTEST                               
051855,000562: 11,3365           71214                           BOF      DLOAD                                 
051856,000563: 11,3366           04340                                    RPQFLAG                               
051857,000564: 11,3367           23375                                    DOSWITCH                              
051858,000565: 11,3370           01517                                    TET                                   
051859,000566: 11,3371           77624                           CALL                                           
051860,000567: 11,3372           33664                                    LUNPOS                                
051861,000568: 11,3373           77676                           VCOMP                                          
051862,000569: 11,3374           02105                           STORE    RPQV                                  

Page 1239

051864,000571: 11,3375           77624        DOSWITCH           CALL                                           
051865,000572: 11,3376           23401                                    ORIGCHNG                              
051866,000573: 11,3377           77650                           GOTO                                           
051867,000574: 11,3400           23333                                    INTGRATE                              
051868,000575: 11,3401           45020        ORIGCHNG           STQ      CALL                                  
051869,000576: 11,3402           02112                                    ORIGEX                                
051870,000577: 11,3403           23441                                    RECTIFY                               
051871,000578: 11,3404           53775                           VLOAD    VSL*                                  
051872,000579: 11,3405           01535                                    RCV                                   
051873,000580: 11,3406           57576                                    0,2                                   
051874,000581: 11,3407           53651                           VSU      VSL*                                  
051875,000582: 11,3410           02105                                    RPQV                                  
051876,000583: 11,3411           57574                                    2,2                                   
051877,000584: 11,3412           01503                           STORE    RRECT                                 
051878,000585: 11,3413           15535                           STODL    RCV                                   
051879,000586: 11,3414           01517                                    TET                                   
051880,000587: 11,3415           77624                           CALL                                           
051881,000588: 11,3416           33775                                    LUNVEL                                
051882,000589: 11,3417           57414                           BOF      VCOMP                                 
051883,000590: 11,3420           00343                                    MOONFLAG                              
051884,000591: 11,3421           23422                                    +1                                    
051885,000592: 11,3422           53715                           PDVL     VSL*                                  
051886,000593: 11,3423           01543                                    VCV                                   
051887,000594: 11,3424           57576                                    0,2                                   
051888,000595: 11,3425           77651                           VSU                                            
051889,000596: 11,3426           77657                           VSL*                                           
051890,000597: 11,3427           57574                                    0          +2,2                       
051891,000598: 11,3430           01511                           STORE    VRECT                                 
051892,000599: 11,3431           01543                           STORE    VCV                                   
051893,000600: 11,3432           67154                           LXA,2    SXA,2                                 
051894,000601: 11,3433           02112                                    ORIGEX                                
051895,000602: 11,3434           00052                                    QPRET                                 
051896,000603: 11,3435           52014                           BON      GOTO                                  
051897,000604: 11,3436           00303                                    MOONFLAG                              
051898,000605: 11,3437           26711                                    CLRMOON                               
051899,000606: 11,3440           26716                                    SETMOON                               

Page 1240

051901,000608:                                                                                                  #  THE RECTIFY SUBROUTINE IS CALLED BY THE INTEGRATION PROGRAM AND OCCASIONALLY BY THE MEASUREMENT INCORPORATION
051902,000609:                                                                                                  #  ROUTINES TO ESTABLISH A NEW CONIC.
051903,000610: 
051904,000611: 11,3441           77354        RECTIFY            LXA,2    VLOAD                                 
051905,000612: 11,3442           02030                                    PBODY                                 
051906,000613: 11,3443           01521                                    TDELTAV                               
051907,000614: 11,3444           53257                           VSL*     VAD                                   
051908,000615: 11,3445           57605                                    0          -7,2                       
051909,000616: 11,3446           01535                                    RCV                                   
051910,000617: 11,3447           01503                           STORE    RRECT                                 
051911,000618: 11,3450           25535                           STOVL    RCV                                   
051912,000619: 11,3451           01527                                    TNUV                                  
051913,000620: 11,3452           53257                           VSL*     VAD                                   
051914,000621: 11,3453           57602                                    0          -4,2                       
051915,000622: 11,3454           01543                                    VCV                                   
051916,000623: 11,3455           01511        MINIRECT           STORE    VRECT                                 
051917,000624: 11,3456           25543                           STOVL    VCV                                   
051918,000625: 11,3457           24007                                    ZEROVEC                               
051919,000626: 11,3460           01521                           STORE    TDELTAV                               
051920,000627: 11,3461           15527                           STODL    TNUV                                  
051921,000628: 11,3462           24007                                    ZEROVEC                               
051922,000629: 11,3463           01551                           STORE    TC                                    
051923,000630: 11,3464           01553                           STORE    XKEP                                  
051924,000631: 11,3465           77616                           RVQ                                            
051925,000632: 

Page 1241

051927,000634:                                                                                                  #  THE THREE DIFEQ ROUTINES - DIFEQ+0, DIFEQ+12, AND DIFEQ+24 - ARE ENTERED TO PROCESS THE CONTRIBUTIONS AT THE
051928,000635:                                                                                                  #  BEGINNING, MIDDLE, AND END OF THE TIMESTEP, RESPECTIVELY.  THE UPDATING IS DONE BY THE NYSTROM METHOD.
051929,000636: 
051930,000637: 11,3466           64575        DIFEQ+0            VLOAD    VSR3                                  
051931,000638: 11,3467           02062                                    FV                                    
051932,000639: 11,3470           36046                           STCALL   PHIV                                  
051933,000640: 11,3471           23646                                    DIFEQCOM                              
051934,000641: 11,3472           74575        DIFEQ+1            VLOAD    VSR1                                  
051935,000642: 11,3473           02062                                    FV                                    
051936,000643: 11,3474           53206                           PUSH     VAD                                   
051937,000644: 11,3475           02046                                    PHIV                                  
051938,000645: 11,3476           26054                           STOVL    PSIV                                  
051939,000646: 11,3477           53362                           VSR1     VAD                                   
051940,000647: 11,3500           02046                                    PHIV                                  
051941,000648: 11,3501           36046                           STCALL   PHIV                                  
051942,000649: 11,3502           23646                                    DIFEQCOM                              
051943,000650: 11,3503           57345        DIFEQ+2            DLOAD    DMPR                                  
051944,000651: 11,3504           02100                                    H                                     
051945,000652: 11,3505           25774                                    DP2/3                                 
051946,000653: 11,3506           74206                           PUSH     VXSC                                  
051947,000654: 11,3507           02046                                    PHIV                                  
051948,000655: 11,3510           53372                           VSL1     VAD                                   
051949,000656: 11,3511           01135                                    ZV                                    
051950,000657: 11,3512           53361                           VXSC     VAD                                   
051951,000658: 11,3513           02100                                    H                                     
051952,000659: 11,3514           01127                                    YV                                    
051953,000660: 11,3515           25127                           STOVL    YV                                    
051954,000661: 11,3516           02062                                    FV                                    
051955,000662: 11,3517           53322                           VSR3     VAD                                   
051956,000663: 11,3520           02054                                    PSIV                                  
051957,000664: 11,3521           76561                           VXSC     VSL1                                  
051958,000665: 11,3522           77655                           VAD                                            
051959,000666: 11,3523           01135                                    ZV                                    
051960,000667: 11,3524           01135                           STORE    ZV                                    
051961,000668: 11,3525           45014                           BOFF     CALL                                  
051962,000669: 11,3526           00341                                    JSWITCH                               
051963,000670: 11,3527           23577                                    ENDSTATE                              
051964,000671: 11,3530           11244                                    GRP2PC                                
051965,000672: 11,3531           77354                           LXA,2    VLOAD                                 
051966,000673: 11,3532           01117                                    COLREG                                
051967,000674: 11,3533           01135                                    ZV                                    
051968,000675: 11,3534           77732                           VSL3                                           #  ADJUST W-POSITION FOR STORAGE
051969,000676: 11,3535           12467                           STORE    W          +54D,2                     
051970,000677: 11,3536           77775                           VLOAD                                          
051971,000678: 11,3537           01127                                    YV                                    
051972,000679: 11,3540           40132                           VSL3     BOV                                   
051973,000680: 11,3541           23671                                    WMATEND                               
051974,000681: 11,3542           12401                           STORE    W,2                                   
051975,000682: 
051976,000683: 11,3543           77624                           CALL                                           
051977,000684: 11,3544           11244                                    GRP2PC                                

Page 1242

051979,000686: 11,3545           66354                           LXA,2    SSP                                   
051980,000687: 11,3546           01117                                    COLREG                                
051981,000688: 11,3547           00052                                    S2                                    
051982,000689: 11,3550           00000                                    0                                     
051983,000690: 11,3551           67114                           INCR,2   SXA,2                                 
051984,000691: 11,3552           00006                                    6                                     
051985,000692: 11,3553           01126                                    YV                                    
051986,000693: 11,3554           45104                           TIX,2    CALL                                  
051987,000694: 11,3555           23642                                    RELOADSV                              
051988,000695: 11,3556           11244                                    GRP2PC                                
051989,000696: 11,3557           67154                           LXA,2    SXA,2                                 
051990,000697: 11,3560           01126                                    YV                                    
051991,000698: 11,3561           01117                                    COLREG                                
051992,000699: 
051993,000700: 11,3562           77624        NEXTCOL            CALL                                           
051994,000701: 11,3563           11244                                    GRP2PC                                
051995,000702: 11,3564           76754                           LXA,2    VLOAD*                                
051996,000703: 11,3565           01117                                    COLREG                                
051997,000704: 11,3566           75376                                    W,2                                   
051998,000705: 11,3567           77722                           VSR3                                           #  ADJUST W-POSITION FOR INTEGRATION
051999,000706: 11,3570           01127                           STORE    YV                                    
052000,000707: 11,3571           76173                           VLOAD*   AXT,1                                 
052001,000708: 11,3572           75310                                    W          +54D,2                     
052002,000709: 11,3573           00000                                    0                                     
052003,000710: 11,3574           77722                           VSR3                                           #  ADJUST W-VELOCITY FOR INTEGRATION
052004,000711: 11,3575           35135                           STCALL   ZV                                    
052005,000712: 11,3576           23342                                    DIFEQ0                                
052006,000713: 
052007,000714: 11,3577           77200        ENDSTATE           BOV      VLOAD                                 
052008,000715: 11,3600           22774                                    GOBAQUE                               
052009,000716: 11,3601           01135                                    ZV                                    
052010,000717: 11,3602           25527                           STOVL    TNUV                                  
052011,000718: 11,3603           01127                                    YV                                    
052012,000719: 11,3604           01521                           STORE    TDELTAV                               
052013,000720: 11,3605           43014                           BON      BOFF                                  
052014,000721: 11,3606           04715                                    MIDAVFLG                              
052015,000722: 11,3607           27633                                    CKMID2                                #  CHECK FOR MID2 BEFORE GOING TO TIMEINC
052016,000723: 11,3610           01756                                    DIM0FLAG                              
052017,000724: 11,3611           27257                                    TESTLOOP                              
052018,000725: 11,3612           77776                           EXIT                                           
052019,000726: 11,3613           05353                           TC       PHASCHNG                              
052020,000727: 11,3614           04022                           OCT      04022                                 #  PHASE 1
052021,000728: 11,3615           05504                           TC       UPFLAG                                #  PHASE CHANGE HAS OCCURRED BETWEEN
052022,000729: 11,3616           00236                           ADRES    REINTFLG                              #  INTSTALL AND INTWAKE
052023,000730: 11,3617           06037                           TC       INTPRET                               
052024,000731: 11,3620           77731                           SSP                                            
052025,000732: 11,3621           00053                                    QPRET                                 
052026,000733: 11,3622           23627                                    AMOVED                                
052027,000734: 11,3623           52014                           BON      GOTO                                  
052028,000735: 11,3624           01714                                    VINTFLAG                              

Page 1243

052030,000737: 11,3625           26661                                    ATOPCSM                               
052031,000738: 11,3626           26734                                    ATOPLEM                               
052032,000739: 11,3627           66214        AMOVED             SET      SSP                                   
052033,000740: 11,3630           00061                                    JSWITCH                               
052034,000741: 11,3631           01120                                    COLREG                                
052035,000742: 11,3632           77741                           DEC      -30        B-14                       
052036,000743: 11,3633           66214                           BOFF     SSP                                   
052037,000744: 11,3634           01755                                    D6OR9FLG                              
052038,000745: 11,3635           23562                                    NEXTCOL                               
052039,000746: 11,3636           01120                                    COLREG                                
052040,000747: 11,3637           77717                           DEC      -48        B-14                       
052041,000748: 11,3640           77650                           GOTO                                           
052042,000749: 11,3641           23562                                    NEXTCOL                               
052043,000750: 
052044,000751: 11,3642           77745        RELOADSV           DLOAD                                          #  RELOAD TEMPORARY STATE VECTOR
052045,000752: 11,3643           01116                                    TDEC                                  #  FROM PERMANENT IN CASE OF
052046,000753: 11,3644           34041                           STCALL   TDEC1                                 
052047,000754: 11,3645           27141                                    INTEGRV2                              #  BY STARTING AT INTEGRV2.
052048,000755: 11,3646           43345        DIFEQCOM           DLOAD    DAD                                   #  INCREMENT H AND DIFEQCNT.
052049,000756: 11,3647           02076                                    DT/2                                  
052050,000757: 11,3650           02100                                    H                                     
052051,000758: 11,3651           66110                           INCR,1   SXA,1                                 
052052,000759: 11,3652           77763                           DEC      -12        B-14                       
052053,000760: 11,3653           01500                                    DIFEQCNT                              #  DIFEQCNT SET FOR NEXT ENTRY.
052054,000761: 11,3654           02100                           STORE    H                                     
052055,000762: 11,3655           74561                           VXSC     VSR1                                  
052056,000763: 11,3656           02062                                    FV                                    
052057,000764: 11,3657           74255                           VAD      VXSC                                  
052058,000765: 11,3660           01135                                    ZV                                    
052059,000766: 11,3661           02100                                    H                                     
052060,000767: 11,3662           77655                           VAD                                            
052061,000768: 11,3663           01127                                    YV                                    
052062,000769: 11,3664           02032                           STORE    ALPHAV                                
052063,000770: 11,3665           52014                           BON      GOTO                                  
052064,000771: 11,3666           00301                                    JSWITCH                               
052065,000772: 11,3667           23705                                    DOW..                                 
052066,000773: 11,3670           22476                                    FBR3                                  
052067,000774: 
052068,000775: 11,3671           43014        WMATEND            CLEAR    CLEAR                                 
052069,000776: 11,3672           01676                                    DIM0FLAG                              #  DONT INTEGRATE W THIS TIME
052070,000777: 11,3673           01671                                    ORBWFLAG                              #  INVALIDATE W
052071,000778: 11,3674           77614                           CLEAR                                          
052072,000779: 11,3675           02676                                    RENDWFLG                              
052073,000780: 11,3676           77414                           SET      EXIT                                  
052074,000781: 11,3677           01472                                    STATEFLG                              #  PICK UP STATE VECTOR UPDATE
052075,000782: 11,3700           05567                           TC       ALARM                                 
052076,000783: 11,3701           00421                           OCT      421                                   
052077,000784: 11,3702           06037                           TC       INTPRET                               

Page 1244

052079,000786: 11,3703           77650                           GOTO                                           
052080,000787: 11,3704           27257                                    TESTLOOP                              #  FINISH INTEGRATING STATE VECTOR
052081,000788: 

Page 1245

052083,000790:                                                                                                  #  ORBITAL ROUTINE FOR EXTRAPOLATION OF THE W MATRIX.  IT COMPUTES THE SECOND DERIVATIVE OF EACH COLUMN POSITION
052084,000791:                                                                                                  #  VECTOR OF THE MATRIX AND CALLS THE NYSTROM INTEGRATION ROUTINES TO SOLVE THE DIFFERENTIAL EQUATIONS.  THE PROGRAM
052085,000792:                                                                                                  #  USES A TABLE OF VEHICLE POSITION VECTORS COMPUTED DURING THE INTEGRATION OF THE VEHICLES POSITION AND VELOCITY.
052086,000793: 
052087,000794: 11,3705           70754        DOW..              LXA,2    DLOAD*                                
052088,000795: 11,3706           02030                                    PBODY                                 
052089,000796: 11,3707           51770                                    MUEARTH,2                             
052090,000797: 11,3710           36072                           STCALL   BETAM                                 
052091,000798: 11,3711           23733                                    DOW..1                                
052092,000799: 11,3712           02062                           STORE    FV                                    
052093,000800: 11,3713           62014                           BOF      INCR,1                                
052094,000801: 11,3714           00342                                    MIDFLAG                               
052095,000802: 11,3715           23232                                    NBRANCH                               
052096,000803: 11,3716           77771                           DEC      -6         B-14                       
052097,000804: 11,3717           70744                           LXC,2    DLOAD*                                
052098,000805: 11,3720           02030                                    PBODY                                 
052099,000806: 11,3721           51772                                    MUEARTH    -2,2                       
052100,000807: 11,3722           36072                           STCALL   BETAM                                 
052101,000808: 11,3723           23733                                    DOW..1                                
052102,000809: 11,3724           50414                           BON      VSR6                                  
052103,000810: 11,3725           00303                                    MOONFLAG                              
052104,000811: 11,3726           23727                                    +1                                    
052105,000812: 11,3727           77655                           VAD                                            
052106,000813: 11,3730           02062                                    FV                                    
052107,000814: 11,3731           36062                           STCALL   FV                                    
052108,000815: 11,3732           23232                                    NBRANCH                               
052109,000816: 11,3733           60575        DOW..1             VLOAD    VSR4                                  
052110,000817: 11,3734           02032                                    ALPHAV                                
052111,000818: 11,3735           53513                           PDVL*    UNIT                                  
052112,000819: 11,3736           02132                                    VECTAB,1                              
052113,000820: 11,3737           46315                           PDVL     VPROJ                                 
052114,000821: 11,3740           02032                                    ALPHAV                                
052115,000822: 11,3741           52361                           VXSC     VSU                                   
052116,000823: 11,3742           25764                                    3/4                                   
052117,000824: 11,3743           60325                           PDDL     NORM                                  
052118,000825: 11,3744           00045                                    36D                                   
052119,000826: 11,3745           00052                                    S2                                    
052120,000827: 11,3746           63406                           PUSH     DSQ                                   
052121,000828: 11,3747           77605                           DMP                                            
052122,000829: 11,3750           65301                           NORM     PDDL                                  
052123,000830: 11,3751           00043                                    34D                                   
052124,000831: 11,3752           02072                                    BETAM                                 
052125,000832: 11,3753           56342                           SR1      DDV                                   
052126,000833: 11,3754           77761                           VXSC                                           
052127,000834: 11,3755           57154                           LXA,2    XAD,2                                 
052128,000835: 11,3756           00051                                    S2                                    
052129,000836: 11,3757           00051                                    S2                                    
052130,000837: 11,3760           57074                           XAD,2    XAD,2                                 
052131,000838: 11,3761           00051                                    S2                                    
052132,000839: 11,3762           00042                                    34D                                   
052133,000840: 11,3763           43457                           VSL*     RVQ                                   

Page 1246

052135,000842: 11,3764           57606                                    0          -8D,2                      
052136,000843: 
052137,000844:                                                                                                  #  ****************************************************************************************************************
052138,000845:                                                                                                  #  ****************************************************************************************************************
052139,000846: 11,3765           43131        SETITCTR           SSP      BOFF                                  #  SET ITERCTR FOR LAMBERT CALLS.  THIS
052140,000847: 11,3766           00027                                    ITERCTR                               #  CODING BELONGS IN INITVEL AND IS HERE
052141,000848: 11,3767           00024                                    20D                                   #  FOR PURPOSES OF A ONE-MODULE
052142,000849: 11,3770           03752                                    AVEGFLAG                              #  REMANUFACTURE ONLY.  CODING SHOULD
052143,000850: 11,3771           25212                                    LAMBERT                               #  BE MOVED BACK TO INITVEL FOR LUMINARY 1B
052144,000851: 11,3772           52131                           SSP      GOTO                                  
052145,000852: 11,3773           00027                                    ITERCTR                               
052146,000853: 11,3774           00005                                    5                                     
052147,000854: 11,3775           25212                                    LAMBERT                               
052148,000855:                                                                                                  #  ****************************************************************************************************************
052149,000856:                                                                                                  #  ****************************************************************************************************************
052150,000857: 
052151,000858: 12,2000                                           SETLOC   ORBITAL1                              
052152,000859: 12,2000                                           BANK                                           
052153,000860: 
052154,000861: 12,3745           04631 23146  3/5                2DEC     .6         B-2                        
052155,000862: 
052156,000863: 12,3747           14000 00000  THREE/8            2DEC     .375                                  
052157,000864: 
052158,000865: 12,3751           02314 31463  .3D                2DEC     .3         B-2                        
052159,000866: 
052160,000867: 12,3753           01400 00000  3/64               2DEC     3          B-6                        
052161,000868: 
052162,000869: 12,3755           10000 00000  DP1/4              2DEC     .25                                   
052163,000870: 
052164,000871: 12,3757  12,3755               DQUARTER           EQUALS   DP1/4                                 
052165,000872: 12,3757  12,3755               POS1/4             EQUALS   DP1/4                                 
052166,000873: 12,3757           03000 00000  3/32               2DEC     3          B-5                        
052167,000874: 
052168,000875: 12,3761           36000 00000  15/16              2DEC     15.        B-4                        
052169,000876: 
052170,000877: 12,3763           30000 00000  3/4                2DEC     3.0        B-2                        
052171,000878: 
052172,000879: 12,3765           22525 12525  7/12               2DEC     .5833333333                            
052173,000880: 
052174,000881: 12,3767           22000 00000  9/16               2DEC     9          B-4                        
052175,000882: 
052176,000883: 12,3771           01200 00000  5/128              2DEC     5          B-7                        
052177,000884: 
052178,000885: 12,3773  12,2006               DPZERO             EQUALS   ZEROVEC                               
052179,000886: 12,3773           25252 25253  DP2/3              2DEC     .6666666667                            
052180,000887: 
052181,000888: 12,3775  12,3773               2/3                EQUALS   DP2/3                                 
052182,000889: 12,3775           00027        OCT27              OCT      27                                    
052183,000890: 

Page 1247

052185,000892: 13,3675                                           BANK     13                                    
052186,000893: 13,2000                                           SETLOC   ORBITAL2                              
052187,000894: 13,2000                                           BANK                                           
052188,000895:                                                                                                  #  IT IS VITAL THAT THE FOLLOWING CONSTANTS NOT BE SHUFFLED
052189,000896: 13,3675           77764                           DEC      -11        B-14                       
052190,000897: 13,3676           77775                           DEC      -2         B-14                       
052191,000898: 13,3677           77766                           DEC      -9         B-14                       
052192,000899: 13,3700           77771                           DEC      -6         B-14                       
052193,000900: 13,3701           77775                           DEC      -2         B-14                       
052194,000901: 13,3702           77775                           DEC      -2         B-14                       
052195,000902: 13,3703           00000                           DEC      0          B-14                       
052196,000903: 13,3704           77763                           DEC      -12        B-14                       
052197,000904: 13,3705           77766                           DEC      -9         B-14                       
052198,000905: 13,3706           77773                           DEC      -4         B-14                       
052199,000906: 13,3707           77770        ASCALE             DEC      -7         B-14                       
052200,000907: 13,3710           77771                           DEC      -6         B-14                       
052201,000908: 13,3711           24000 00000  5/8                2DEC     5          B-3                        
052202,000909: 
052203,000910: 13,3713           74631 63145  -1/12              2DEC     -.1                                   
052204,000911: 
052205,000912: 13,3715           00243 32703  RECRATIO           2DEC     .01                                   
052206,000913: 
052207,000914: 13,3717           03654 21000  RSPHERE            2DEC     64373.76   E3         B-29            
052208,000915: 
052209,000916: 13,3721           03654 21000  RDM                2DEC     16093.44   E3         B-27            
052210,000917: 
052211,000918: 13,3723           04627 25200  RDE                2DEC     80467.20   E3         B-29            
052212,000919: 
052213,000920: 13,3725                        RATT               EQUALS   00                                    
052214,000921: 13,3725                        VATT               EQUALS   6D                                    
052215,000922: 13,3725                        TAT                EQUALS   12D                                   
052216,000923: 13,3725                        RATT1              EQUALS   14D                                   
052217,000924: 13,3725                        VATT1              EQUALS   20D                                   
052218,000925: 13,3725                        MU(P)              EQUALS   26D                                   
052219,000926: 13,3725                        TDEC1              EQUALS   32D                                   
052220,000927: 13,3725                        URPV               EQUALS   14D                                   
052221,000928: 13,3725     0022               COSPHI/2           EQUALS   URPV       +4                         
052222,000929: 13,3725                        UZ                 EQUALS   20D                                   
052223,000930: 13,3725                        TVEC               EQUALS   26D                                   
052224,000931: 
052225,000932: 13,3725           71214        QUALITY1           BOF      DLOAD                                 
052226,000933: 13,3726           00343                                    MOONFLAG                              
052227,000934: 13,3727           23232                                    NBRANCH                               
052228,000935: 13,3730           00017                                    URPV                                  
052229,000936: 13,3731           77716                           DSQ                                            
052230,000937: 13,3732           63525        QUALITY2           PDDL     DSQ                                   #  SQUARE INTO 2D, B2
052231,000938: 13,3733           00021                                    URPV       +2                         #  Y COMPONENT, B1
052232,000939: 13,3734           77625                           DSU                                            
052233,000940: 13,3735           74205                           DMP      VXSC                                  #  5(Y**2-X**2)UR
052234,000941: 13,3736           27712                                    5/8                                   #  CONSTANT, 5B3
052235,000942: 13,3737           00017                                    URPV                                  #  VECTOR.  RESULT MAXIMUM IS 5, SCALING

Page 1248

052237,000944:                                                                                                  #  HERE B6
052238,000945: 13,3740           65332                           VSL3     PDDL                                  #  STORE SCALED B3 IN 2D, 4D, 6D FOR XYZ
052239,000946: 13,3741           00017                                    URPV                                  #  X COMPONENT, B1
052240,000947: 13,3742           43342                           SR1      DAD                                   #  2 X X COMPONENT FOR B3 SCALING
052241,000948: 13,3743           00003                                    2D                                    #  ADD TO VECTOR X COMPONENT OF ANSWER,
052242,000949:                                                                                                  #  SAME AS MULTIPLYING BY UNITX.  MAX IS 7.
052243,000950: 13,3744           14003                           STODL    2D                                    
052244,000951: 13,3745           00021                                    URPV       +2                         #  Y COMPONENT, B1
052245,000952: 13,3746           44342                           SR1      BDSU                                  #  2 X Y COMPONENT FOR B3 SCALING
052246,000953: 13,3747           00005                                    4D                                    #  SUBTRACT FROM VECTOR Y COMPONENT OF
052247,000954:                                                                                                  #  ANSWER, SAME AS MULTIPLYING BY UNITY.
052248,000955:                                                                                                  #  MAX IS 7.
052249,000956: 13,3750           00005                           STORE    4D                                    #  2D HAS VECTOR, B3.
052250,000957: 13,3751           74335                           SLOAD    VXSC                                  #  MULTIPLY COEFFIECIENT TIMES VECTOR IN 2D
052251,000958: 13,3752           01353                                    E3J22R2M                              
052252,000959: 13,3753           43525                           PDDL     RVQ                                   #  J22 TERM X R**4 IN 2D, SCALED B61
052253,000960: 13,3754           00023                                    COSPHI/2                              #  SAME AS URPV +4  Z COMPONENT
052254,000961: 

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