Source Code

These source-code files are part of a reconstructed copy of Luminary 163, the first (unflown) release of the Apollo 14 Lunar Module (LM) Apollo Guidance Computer (AGC) software.

The reconstruction began with reconstructed source code for Luminary 173. Changes between revision 163 and 173 were backed out, as described by Luminary memos 157 and 158. The reconstruction was verified by matching memory-bank checksums to those listed in drawing 2021152N. Note that page numbers in the reconstructed code match those for the baseline log section mentioned in each file's changelog; the page numbers for a real Luminary 163 listing would be different.

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.

051884,000002:                                                                                                  ## Copyright:   Public domain.
051885,000003:                                                                                                  ## Filename:    ORBITAL_INTEGRATION.agc
051886,000004:                                                                                                  ## Purpose:     A section of Luminary revision 163.
051887,000005:                                                                                                  ##              It is part of the reconstructed source code for the first
051888,000006:                                                                                                  ##              (unflown) release of the flight software for the Lunar
051889,000007:                                                                                                  ##              Module's (LM) Apollo Guidance Computer (AGC) for Apollo 14.
051890,000008:                                                                                                  ##              The code has been recreated from a reconstructed copy of
051891,000009:                                                                                                  ##              Luminary 173, as well as Luminary memos 157 amd 158.
051892,000010:                                                                                                  ##              It has been adapted such that the resulting bugger words
051893,000011:                                                                                                  ##              exactly match those specified for Luminary 163 in NASA
051894,000012:                                                                                                  ##              drawing 2021152N, which gives relatively high confidence
051895,000013:                                                                                                  ##              that the reconstruction is correct.
051896,000014:                                                                                                  ## Reference:   pp. 1217-1237
051897,000015:                                                                                                  ## Assembler:   yaYUL
051898,000016:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
051899,000017:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
051900,000018:                                                                                                  ## Mod history: 2019-08-21 MAS  Created from Luminary 173.
051901,000019: 

Page 1217

051903,000021:                                                                                                  #           DELETE
051904,000022: 13,3671                                           BANK     13                                    
051905,000023: 11,2000                                           SETLOC   ORBITAL                               
051906,000024: 11,2000                                           BANK                                           
051907,000025: 11,2404                                           COUNT*   $$/ORBIT                              
051908,000026:                                                                                                  #           DELETE
051909,000027: 11,2404           40354        KEPPREP            LXA,2    SETPD                                 
051910,000028: 11,2405           02030                                    PBODY                                 
051911,000029: 11,2406           00001                                    0                                     
051912,000030: 11,2407           75543                           DLOAD*   SQRT                                  #  SQRT(MU) (+18 OR +15)  0D        PL  2D
051913,000031: 11,2410           51770                                    MUEARTH,2                             
051914,000032: 11,2411           53515                           PDVL     UNIT                                  #                                   PL  8D
051915,000033: 11,2412           01535                                    RCV                                   
051916,000034: 11,2413           60325                           PDDL     NORM                                  #  NORM R (+29 OR +27 - N1) 2D      PL  4D
051917,000035: 11,2414           00045                                    36D                                   
051918,000036: 11,2415           00047                                    X1                                    
051919,000037: 11,2416           77715                           PDVL                                           
051920,000038: 11,2417           65241                           DOT      PDDL                                  #  F*SQRT(MU)(+7 OR+5) 4D         PL  6D
051921,000039: 11,2420           01543                                    VCV                                   
051922,000040: 11,2421           02074                                    TAU.                                  #  (+28)
051923,000041: 11,2422           60225                           DSU      NORM                                  
051924,000042: 11,2423           01551                                    TC                                    
051925,000043: 11,2424           00051                                    S1                                    
051926,000044: 11,2425           77742                           SR1                                            
051927,000045: 11,2426           65271                           DDV      PDDL                                  
051928,000046: 11,2427           00003                                    2D                                    
051929,000047: 11,2430           41405                           DMP      PUSH                                  #  FS(+6 +N1-N2) 6D               PL   8D
051930,000048: 11,2431           00005                                    4D                                    
051931,000049: 11,2432           65316                           DSQ      PDDL                                  #  (FS)SQ(+12 +2(N1-N2)) 8D       PL  10D
051932,000050: 11,2433           00005                                    4D                                    
051933,000051: 11,2434           64716                           DSQ      PDDL*                                 #  SSQ/MU(-20R +2(N1-N2)) 10D       PL  12D
051934,000052: 11,2435           51770                                    MUEARTH,2                             
051935,000053: 11,2436           40442                           SR3      SR4                                   
051936,000054: 11,2437           47515                           PDVL     VSQ                                   #  PREALIGN MU (+43 OR +37) 12D   PL 14D
051937,000055: 11,2440           01543                                    VCV                                   
051938,000056: 11,2441           44205                           DMP      BDSU                                  #                                 PL 12D
051939,000057: 11,2442           00045                                    36D                                   
051940,000058: 11,2443           41271                           DDV      DMP                                   #                                 PL 10D
051941,000059: 11,2444           00003                                    2D                                    #  -(1/R-ALPHA)(+12 +3N1-2N2)
051942,000060: 11,2445           53605                           DMP      SL*                                   
051943,000061: 11,2446           11236                                    DP2/3                                 
051944,000062: 11,2447           20176                                    0          -3,1                       #  10L(1/R-ALPHA)(+13 +2(N1-N2))
051945,000063: 11,2450           43260                           XSU,1    DAD                                   #  2(FS)SQ - ETCETRA        PL 8D
051946,000064: 11,2451           00050                                    S1                                    #  X1 = N2-N1
051947,000065: 11,2452           45257                           SL*      DSU                                   #  -FS+2(FS)SQ ETC (+6 +N1-N2)    PL  6D
051948,000066: 11,2453           20211                                    8D,1                                  
051949,000067: 11,2454           41205                           DMP      DMP                                   
051950,000068: 11,2455           00001                                    0D                                    
051951,000069: 11,2456           00005                                    4D                                    
051952,000070: 11,2457           53657                           SL*      SL*                                   

Page 1218

051954,000072: 11,2460           20211                                    8D,1                                  
051955,000073: 11,2461           20201                                    0,1                                   #  S(-FS(1-2FS)-1/6...)(+17 OR +16)
051956,000074: 11,2462           65215                           DAD      PDDL                                  #                                 PL  6D
051957,000075: 11,2463           01553                                    XKEP                                  
051958,000076: 11,2464           53605                           DMP      SL*                                   #  S(+17 OR +16)
051959,000077: 11,2465           00001                                    0D                                    
051960,000078: 11,2466           20202                                    1,1                                   
051961,000079: 11,2467           43204                           BOVB     DAD                                   
051962,000080: 11,2470           57760                                    TCDANZIG                              
051963,000081: 11,2471           77626                           STADR                                          
051964,000082: 11,2472           75647                           STORE    XKEPNEW                               
051965,000083: 11,2473           74020                           STQ      AXC,1                                 
051966,000084: 11,2474           02112                                    KEPRTN                                
051967,000085: 11,2475           00012                           DEC      10         B-14                       
051968,000086: 11,2476           74014                           BON      AXC,1                                 
051969,000087: 11,2477           00303                                    MOONFLAG                              
051970,000088: 11,2500           24023                                    KEPLERN                               
051971,000089: 11,2501           00002                           DEC      2          B-14                       
051972,000090: 11,2502           77650                           GOTO                                           
051973,000091: 11,2503           24023                                    KEPLERN                               
051974,000092: 

Page 1219

051976,000094: 11,2504           66350        FBR3               LXA,1    SSP                                   
051977,000095: 11,2505           01500                                    DIFEQCNT                              
051978,000096: 11,2506           00051                                    S1                                    
051979,000097: 11,2507           77762                           DEC      -13        B-14                       
051980,000098: 11,2510           54345                           DLOAD    SR                                    
051981,000099: 11,2511           02076                                    DT/2                                  
051982,000100: 11,2512           20612                                    9D                                    
051983,000101: 11,2513           61500                           TIX,1    ROUND                                 
051984,000102: 11,2514           22515                                    +1                                    
051985,000103: 11,2515           43206                           PUSH     DAD                                   
051986,000104: 11,2516           01551                                    TC                                    
051987,000105: 11,2517           16074                           STODL    TAU.                                  
051988,000106: 11,2520           77615                           DAD                                            
051989,000107: 11,2521           01517                                    TET                                   
051990,000108: 11,2522           35517                           STCALL   TET                                   
051991,000109: 11,2523           22404                                    KEPPREP                               
051992,000110: 

Page 1220

051994,000112:                                                                                                  #  AGC ROUTINE TO COMPUTE ACCELERATION COMPONENTS.
051995,000113: 
051996,000114: 
051997,000115: 11,2524           73150        ACCOMP             LXA,1    LXA,2                                 
051998,000116: 11,2525           02030                                    PBODY                                 
051999,000117: 11,2526           02030                                    PBODY                                 
052000,000118: 11,2527           77775                           VLOAD                                          
052001,000119: 11,2530           24007                                    ZEROVEC                               
052002,000120: 11,2531           26062                           STOVL    FV                                    
052003,000121: 11,2532           02032                                    ALPHAV                                
052004,000122: 11,2533           53257                           VSL*     VAD                                   
052005,000123: 11,2534           57605                                    0          -7,2                       
052006,000124: 11,2535           01535                                    RCV                                   
052007,000125: 11,2536           02040                           STORE    BETAV                                 
052008,000126: 11,2537           65014                           BOF      XCHX,2                                
052009,000127: 11,2540           01756                                    DIM0FLAG                              
052010,000128: 11,2541           22546                                    +5                                    
052011,000129: 11,2542           01500                                    DIFEQCNT                              
052012,000130: 11,2543           12132                           STORE    VECTAB,2                              
052013,000131: 11,2544           77724                           XCHX,2                                         
052014,000132: 11,2545           01500                                    DIFEQCNT                              
052015,000133: 11,2546           53575                           VLOAD    UNIT                                  
052016,000134: 11,2547           02032                                    ALPHAV                                
052017,000135: 11,2550           16032                           STODL    ALPHAV                                
052018,000136: 11,2551           00045                                    36D                                   
052019,000137: 11,2552           36070                           STCALL   ALPHAM                                
052020,000138: 11,2553           22655                                    GAMCOMP                               
052021,000139: 11,2554           66175                           VLOAD    SXA,1                                 
052022,000140: 11,2555           02040                                    BETAV                                 
052023,000141: 11,2556           00051                                    S2                                    
052024,000142: 11,2557           16032                           STODL    ALPHAV                                
052025,000143: 11,2560           02072                                    BETAM                                 
052026,000144: 11,2561           02070                           STORE    ALPHAM                                
052027,000145: 11,2562           71214                           BOF      DLOAD                                 
052028,000146: 11,2563           00342                                    MIDFLAG                               
052029,000147: 11,2564           23026                                    OBLATE                                
052030,000148: 11,2565           01517                                    TET                                   
052031,000149: 11,2566           77624                           CALL                                           
052032,000150: 11,2567           33641                                    LSPOS                                 
052033,000151: 11,2570           72174                           AXT,2    LXA,1                                 
052034,000152: 11,2571           00002                                    2                                     
052035,000153: 11,2572           00051                                    S2                                    
052036,000154: 11,2573           77614                           BOF                                            
052037,000155: 11,2574           00343                                    MOONFLAG                              
052038,000156: 11,2575           22600                                    +3                                    
052039,000157: 11,2576           77076                           VCOMP    AXT,2                                 
052040,000158: 11,2577           00000                                    0                                     
052041,000159: 11,2600           02040                           STORE    BETAV                                 
052042,000160: 11,2601           26105                           STOVL    RPQV                                  
052043,000161: 11,2602           00003                                    2D                                    

Page 1221

052045,000163: 11,2603           02122                           STORE    RPSV                                  
052046,000164: 11,2604           45335                           SLOAD    DSU                                   
052047,000165: 11,2605           01011                                    MODREG                                
052048,000166: 11,2606           11240                                    OCT27                                 
052049,000167: 11,2607           43030                           BHIZ     BOF                                   
052050,000168: 11,2610           22613                                    +3                                    
052051,000169: 11,2611           01756                                    DIM0FLAG                              
052052,000170: 11,2612           22627                                    GETRPSV                               
052053,000171: 11,2613           74375                           VLOAD    VXSC                                  
052054,000172: 11,2614           02032                                    ALPHAV                                
052055,000173: 11,2615           02070                                    ALPHAM                                
052056,000174: 11,2616           52257                           VSR*     VSU                                   
052057,000175: 11,2617           57175                                    1,2                                   
052058,000176: 11,2620           02040                                    BETAV                                 
052059,000177: 11,2621           77724                           XCHX,2                                         
052060,000178: 11,2622           01500                                    DIFEQCNT                              
052061,000179: 11,2623           12140                           STORE    VECTAB     +6,2                       
052062,000180: 11,2624           02114                           STORE    RQVV                                  
052063,000181: 11,2625           77724                           XCHX,2                                         
052064,000182: 11,2626           01500                                    DIFEQCNT                              
052065,000183: 11,2627           62175        GETRPSV            VLOAD    INCR,1                                
052066,000184: 11,2630           02105                                    RPQV                                  
052067,000185: 11,2631           00004                                    4                                     
052068,000186: 11,2632           43014                           CLEAR    BOF                                   
052069,000187: 11,2633           04260                                    RPQFLAG                               
052070,000188: 11,2634           00343                                    MOONFLAG                              
052071,000189: 11,2635           22642                                    +5                                    
052072,000190: 11,2636           53261                           VSR      VAD                                   
052073,000191: 11,2637           20612                                    9D                                    
052074,000192: 11,2640           02122                                    RPSV                                  
052075,000193: 11,2641           02122                           STORE    RPSV                                  
052076,000194: 11,2642           77624                           CALL                                           
052077,000195: 11,2643           22655                                    GAMCOMP                               
052078,000196: 11,2644           62174                           AXT,2    INCR,1                                
052079,000197: 11,2645           00004                                    4                                     
052080,000198: 11,2646           00004                                    4                                     
052081,000199: 11,2647           77775                           VLOAD                                          
052082,000200: 11,2650           02122                                    RPSV                                  
052083,000201: 11,2651           36040                           STCALL   BETAV                                 
052084,000202: 11,2652           22655                                    GAMCOMP                               
052085,000203: 11,2653           77650                           GOTO                                           
052086,000204: 11,2654           23026                                    OBLATE                                
052087,000205: 11,2655           74575        GAMCOMP            VLOAD    VSR1                                  
052088,000206: 11,2656           02040                                    BETAV                                 
052089,000207: 11,2657           40236                           VSQ      SETPD                                 
052090,000208: 11,2660           00001                                    0                                     
052091,000209: 11,2661           61501                           NORM     ROUND                                 
052092,000210: 11,2662           00040                                    31D                                   
052093,000211: 11,2663           60325                           PDDL     NORM                                  #  NORMED B SQUARED TO PD LIST
052094,000212: 11,2664           02070                                    ALPHAM                                #  NORMALIZE (LESS ONE) LENGTH OF ALPHA
052095,000213: 11,2665           00041                                    32D                                   #  SAVING NORM SCALE FACTOR IN X1

Page 1222

052097,000215: 11,2666           63342                           SR1      PDVL                                  
052098,000216: 11,2667           02040                                    BETAV                                 #  C(PDL+2) = ALMOST NORMED ALPHA
052099,000217: 11,2670           77656                           UNIT                                           
052100,000218: 11,2671           16040                           STODL    BETAV                                 
052101,000219: 11,2672           00045                                    36D                                   
052102,000220: 11,2673           02072                           STORE    BETAM                                 
052103,000221: 11,2674           55301                           NORM     BDDV                                  #  FORM NORMALIZED QUOTIENT ALPHAM/BETAM
052104,000222: 11,2675           00042                                    33D                                   
052105,000223: 11,2676           41562                           SR1R     PUSH                                  #  C(PDL+2) = ALMOST NORMALIZED RHO.
052106,000224: 11,2677           77743                           DLOAD*                                         
052107,000225: 11,2700           27731                                    ASCALE,1                              
052108,000226: 11,2701           00051                           STORE    S1                                    
052109,000227: 11,2702           57124                           XCHX,2   XAD,2                                 
052110,000228: 11,2703           00050                                    S1                                    
052111,000229: 11,2704           00040                                    32D                                   
052112,000230: 11,2705           71264                           XSU,2    DLOAD                                 
052113,000231: 11,2706           00041                                    33D                                   
052114,000232: 11,2707           00003                                    2D                                    
052115,000233: 11,2710           65057                           SR*      XCHX,2                                
052116,000234: 11,2711           57177                                    0          -1,2                       
052117,000235: 11,2712           00050                                    S1                                    
052118,000236: 11,2713           74406                           PUSH     SR1R                                  #  RHO/4 TO 4D
052119,000237: 11,2714           50315                           PDVL     DOT                                   
052120,000238: 11,2715           02032                                    ALPHAV                                
052121,000239: 11,2716           02040                                    BETAV                                 
052122,000240: 11,2717           44372                           SL1R     BDSU                                  #  (RHO/4) - 2(ALPHAV/2.BETAV/2)
052123,000241: 11,2720           57206                           PUSH     DMPR                                  #  TO PDL+6
052124,000242: 11,2721           00005                                    4                                     
052125,000243: 11,2722           77752                           SL1                                            
052126,000244: 11,2723           43206                           PUSH     DAD                                   
052127,000245: 11,2724           25766                                    DQUARTER                              
052128,000246: 11,2725           75406                           PUSH     SQRT                                  
052129,000247: 11,2726           41475                           DMPR     PUSH                                  
052130,000248: 11,2727           00013                                    10D                                   
052131,000249: 11,2730           43352                           SL1      DAD                                   
052132,000250: 11,2731           25766                                    DQUARTER                              
052133,000251: 11,2732           43325                           PDDL     DAD                                   #  (1/4)+2((Q+1)/4)    TO PD+14D
052134,000252: 11,2733           00013                                    10D                                   
052135,000253: 11,2734           24005                                    HALFDP                                
052136,000254: 11,2735           72475                           DMPR     SL1                                   
052137,000255: 11,2736           00011                                    8D                                    
052138,000256: 11,2737           56215                           DAD      DDV                                   
052139,000257: 11,2740           25760                                    THREE/8                               
052140,000258: 11,2741           00017                                    14D                                   
052141,000259: 11,2742           74275                           DMPR     VXSC                                  
052142,000260: 11,2743           00007                                    6                                     
052143,000261: 11,2744           02040                                    BETAV                                 #                -
052144,000262: 11,2745           64515                           PDVL     VSR3                                  #  (G/2)(C(PD+4))B/2 TO PD+16D
052145,000263: 11,2746           02032                                    ALPHAV                                
052146,000264: 11,2747           41455                           VAD      PUSH                                  #  A12 + C(PD+16D) TO PD+16D

Page 1223

052148,000266: 11,2750           41345                           DLOAD    DMP                                   
052149,000267: 11,2751           00001                                    0                                     
052150,000268: 11,2752           00015                                    12D                                   #  -
052151,000269: 11,2753           61501                           NORM     ROUND                                 
052152,000270: 11,2754           00037                                    30D                                   
052153,000271: 11,2755           40665                           BDDV     DMP*                                  
052154,000272: 11,2756           00003                                    2                                     
052155,000273: 11,2757           51770                                    MUEARTH,2                             
052156,000274: 11,2760           74276                           DCOMP    VXSC                                  
052157,000275: 11,2761           57124                           XCHX,2   XAD,2                                 
052158,000276: 11,2762           00050                                    S1                                    
052159,000277: 11,2763           00051                                    S2                                    
052160,000278: 11,2764           55064                           XSU,2    XSU,2                                 
052161,000279: 11,2765           00036                                    30D                                   
052162,000280: 11,2766           00037                                    31D                                   
052163,000281: 11,2767           53604                           BOVB     VSR*                                  
052164,000282: 11,2770           57760                                    TCDANZIG                              
052165,000283: 11,2771           57177                                    0          -1,2                       
052166,000284: 11,2772           53324                           XCHX,2   VAD                                   
052167,000285: 11,2773           00050                                    S1                                    
052168,000286: 11,2774           02062                                    FV                                    
052169,000287: 11,2775           02062                           STORE    FV                                    
052170,000288: 11,2776           43400                           BOV      RVQ                                   #  RETURN IF NO OVERFLOW
052171,000289: 11,2777           23000                                    +1                                    
052172,000290: 11,3000           51575        GOBAQUE            VLOAD    ABVAL                                 
052173,000291: 11,3001           01521                                    TDELTAV                               
052174,000292: 11,3002           77654                           BZE                                            
052175,000293: 11,3003           23023                                    INT-ABRT                              
052176,000294: 11,3004           54345                           DLOAD    SR                                    
052177,000295: 11,3005           02100                                    H                                     
052178,000296: 11,3006           20612                                    9D                                    
052179,000297: 11,3007           44206                           PUSH     BDSU                                  
052180,000298: 11,3010           01551                                    TC                                    
052181,000299: 11,3011           16074                           STODL    TAU.                                  
052182,000300: 11,3012           01517                                    TET                                   
052183,000301: 11,3013           45425                           DSU      STADR                                 
052184,000302: 11,3014           42260                           STCALL   TET                                   
052185,000303: 11,3015           22404                                    KEPPREP                               
052186,000304: 11,3016           77624                           CALL                                           
052187,000305: 11,3017           27671                                    RECTIFY                               
052188,000306: 11,3020           77614                           SETGO                                          
052189,000307: 11,3021           04020                                    RPQFLAG                               
052190,000308: 11,3022           27256                                    TESTLOOP                              
052191,000309: 
052192,000310: 11,3023           77776        INT-ABRT           EXIT                                           
052193,000311: 11,3024           05653                           TC       POODOO                                
052194,000312: 11,3025           20430                           OCT      20430                                 
052195,000313: 

Page 1224

052197,000315:                                                                                                  #  THE OBLATE ROUTINE COMPUTES THE ACCELERATION DUE TO OBLATENESS. IT USES THE UNIT OF THE VEHICLE
052198,000316:                                                                                                  #  POSITION VECTOR FOUND IN ALPHAV AND THE DISTANCE TO THE CENTER IN ALPHAM. THIS IS ADDED TO THE SUM OF THE
052199,000317:                                                                                                  #  DISTURBING ACCELERATIONS IN FV AND THE PROPER DIFEQ STAGE IS CALLED VIA X1.
052200,000318: 11,3026           71354        OBLATE             LXA,2    DLOAD                                 
052201,000319: 11,3027           02030                                    PBODY                                 
052202,000320: 11,3030           02070                                    ALPHAM                                
052203,000321: 11,3031           44601                           SETPD    DSU*                                  
052204,000322: 11,3032           00001                                    0                                     
052205,000323: 11,3033           50032                                    RDE,2                                 
052206,000324: 11,3034           43044                           BPL      BOF                                   #  GET URPV
052207,000325: 11,3035           23264                                    NBRANCH                               
052208,000326: 11,3036           00343                                    MOONFLAG                              
052209,000327: 11,3037           23273                                    COSPHIE                               
052210,000328: 11,3040           65375                           VLOAD    PDDL                                  
052211,000329: 11,3041           02032                                    ALPHAV                                
052212,000330: 11,3042           01517                                    TET                                   
052213,000331: 11,3043           45125                           PDDL     CALL                                  
052214,000332: 11,3044           25756                                    3/5                                   
052215,000333: 11,3045           51632                                    R-TO-RP                               
052216,000334: 11,3046           24017                           STOVL    URPV                                  #  RP/R  B-1 IN PLANETARY COORDINATES
052217,000335: 11,3047           24001                                    ZUNIT                                 
052218,000336: 11,3050           45006                           PUSH     CALL                                  #  ZUNIT B-1 IN PLANETARY COORDL AT 00D
052219,000337: 11,3051           23301                                    MATRIX                                
052220,000338: 11,3052           77715                           PDVL                                           #  UZ    B-2 IN INERT COORD      AT 00D
052221,000339: 11,3053           24005                                    XUNIT                                 
052222,000340: 11,3054           45006                           PUSH     CALL                                  #  XUNIT B-1 IN PLANETARY COORD. AT 06D
052223,000341: 11,3055           23301                                    MATRIX                                
052224,000342: 11,3056           77772                           VSL1                                           
052225,000343: 11,3057           24041                           STOVL    32D                                   #  UX    B-1 IN INERT. COORD     AT 32D
052226,000344: 11,3060           77772                           VSL1                                           
052227,000345: 11,3061           14025        COMTERM            STODL    UZ                                    #  UZ  B-1 IN INERTIAL COORD        AT 20D
052228,000346: 11,3062           00023                                    COSPHI/2                              #   '      Z-COMPONENT OF URPV
052229,000347: 11,3063           65275                           DMPR     PDDL                                  #  P   B-6   ,  3COSPHI/64          AT 00D
052230,000348: 11,3064           25770                                    3/32                                  #   2
052231,000349: 11,3065           00023                                    COSPHI/2                              
052232,000350: 11,3066           57316                           DSQ      DMPR                                  
052233,000351: 11,3067           25772                                    15/16                                 #   '                       2
052234,000352: 11,3070           41425                           DSU      PUSH                                  #  P   B-5   ,(1/2)(15COSPHI -3)    AT 02D
052235,000353: 11,3071           25764                                    3/64                                  #   3
052236,000354: 11,3072           41275                           DMPR     DMP                                   
052237,000355: 11,3073           00023                                    COSPHI/2                              
052238,000356: 11,3074           11230                                    7/12                                  
052239,000357: 11,3075           65372                           SL1R     PDDL                                  
052240,000358: 11,3076           00001                                    0D                                    
052241,000359: 11,3077           44275                           DMPR     BDSU                                  
052242,000360: 11,3100           11236                                    2/3                                   #   '                     '    '
052243,000361: 11,3101           57206                           PUSH     DMPR                                  #  P   B-7,(1/3)(7COSPHI P  -4P )   AT 04D
052244,000362: 11,3102           00023                                    COSPHI/2                              #   4                     3    2
052245,000363: 11,3103           65275                           DMPR     PDDL                                  
052246,000364: 11,3104           11232                                    9/16                                  

Page 1225

052248,000366: 11,3105           00003                                    2D                                    #   '                      '    '
052249,000367: 11,3106           44275                           DMPR     BDSU                                  #  P   B-10,(1/4)(9COSPHI P  -5P )
052250,000368: 11,3107           11234                                    5/128                                 #   5                      4    3
052251,000369: 11,3110           56203                           DMP*     DDV                                   #                      '
052252,000370: 11,3111           51764                                    J4REQ/J3,2                            #      B- , (J RP/J R)P
052253,000371: 11,3112           02070                                    ALPHAM                                #             4    3   5
052254,000372: 11,3113           56615                           DAD      DMPR*                                 
052255,000373: 11,3114           00005                                    4D                                    #                2     2  '              '
052256,000374: 11,3115           51760                                    2J3RE/J2,2                            #      B  ,(2J RP /J2 R )P  +(2J RP/J2R)P
052257,000375: 11,3116           43271                           DDV      DAD                                   #             4           5     3        4
052258,000376: 11,3117           02070                                    ALPHAM                                #     -        2 '  2         '        '
052259,000377: 11,3120           00003                                    2D                                    #    (R/R)(J RP P /R + 2J RP P /  + J P )
052260,000378: 11,3121           77761                           VXSC                                           #           4    5       3    4  2   2 3
052261,000379: 11,3122           02032                                    ALPHAV                                #            4       2  '           -
052262,000380: 11,3123           14033                           STODL    TVEC                                  #      B-6,(SUM((J /R )P   (COSPHI))UR)
052263,000381: 11,3124           70403                           DMP*     SR1                                   #           I=2   I     I+1
052264,000382: 11,3125           51764                                    J4REQ/J3,2                            #                    '
052265,000383: 11,3126           43271                           DDV      DAD                                   #         (J RP/J R)P
052266,000384: 11,3127           02070                                    ALPHAM                                #           4    3   4
052267,000385: 11,3130           50473                           DMPR*    SR3                                   #              2    2  '              '
052268,000386: 11,3131           51760                                    2J3RE/J2,2                            #        (2J RP /J R )P  +(2J RP/J R)P
052269,000387: 11,3132           43271                           DDV      DAD                                   #           4     2    4     3    2   3
052270,000388: 11,3133           02070                                    ALPHAM                                
052271,000389: 11,3134           76561                           VXSC     VSL1                                  #            4   '        -
052272,000390: 11,3135           00025                                    UZ                                    #      B-6  SUM(P(COSPHI))UZ
052273,000391: 11,3136           77645                           BVSU                                           #           I=2  I
052274,000392: 11,3137           00033                                    TVEC                                  #    4              I-2   '          -
052275,000393: 11,3140           14033                           STODL    TVEC                                  #   SUM((MU J (RP/R)   )(P   (COSPHI)UR -
052276,000394: 11,3141           02070                                    ALPHAM                                #   I=2      I            I+2
052277,000395: 11,3142           63501                           NORM     DSQ                                   #               P (COSPHI)UZ))  B-6 AT 20D
052278,000396: 11,3143           00047                                    X1                                    #                I
052279,000397: 11,3144           60316                           DSQ      NORM                                  
052280,000398: 11,3145           00051                                    S1                                    #               4
052281,000399: 11,3146           54606                           PUSH     BDDV*                                 #  NORMALIZED  R                    AT 00D
052282,000400: 11,3147           51754                                    J2REQSQ,2                             
052283,000401: 11,3150           40161                           VXSC     BOV                                   
052284,000402: 11,3151           00033                                    TVEC                                  
052285,000403: 11,3152           23153                                    +1                                    #   B+38 FOR EARTH , B+42 FOR MOON
052286,000404: 11,3153           56070                           XAD,1    XAD,1                                 
052287,000405: 11,3154           00046                                    X1                                    
052288,000406: 11,3155           00046                                    X1                                    
052289,000407: 11,3156           53670                           XAD,1    VSL*                                  
052290,000408: 11,3157           00050                                    S1                                    
052291,000409: 11,3160           20153                                    0          -22D,1                     
052292,000410: 11,3161           40055                           VAD      BOV                                   
052293,000411: 11,3162           02062                                    FV                                    
052294,000412: 11,3163           23000                                    GOBAQUE                               
052295,000413: 11,3164           16062                           STODL    FV                                    #   B+16 FOR EARTH , B+20 FOR MOON
052296,000414: 11,3165           00017                                    URPV                                  #   B-1  X-COMPONENT OF POSITION  IN
052297,000415: 11,3166           41414                           BOF      PUSH                                  #             PLANETORY COORD.      AT 02D

Page 1226

052299,000417: 11,3167           00343                                    MOONFLAG                              
052300,000418: 11,3170           23264                                    NBRANCH                               #          2
052301,000419: 11,3171           65316                           DSQ      PDDL                                  #   B-2   X                         AT 04D
052302,000420: 11,3172           00021                                    URPV       +2                         #   B-1  Y-COMPONENT
052303,000421: 11,3173           45316                           DSQ      DSU                                   
052304,000422: 11,3174           74205                           DMP      VXSC                                  
052305,000423: 11,3175           27733                                    5/8                                   #           2  2 -
052306,000424: 11,3176           02032                                    ALPHAV                                #   B-6  5(Y -X )UR    2  2 -
052307,000425: 11,3177           65332                           VSL3     PDDL                                  #   B-3             5(Y -X )UR      AT 02D
052308,000426: 11,3200           53361                           VXSC     VAD                                   
052309,000427: 11,3201           00041                                    32D                                   #         2  2 -   2         -
052310,000428: 11,3202           47315                           PDVL     VXV                                   #     (5(Y.-X )UR/R ) +(2X/R)UX     AT 02D
052311,000429: 11,3203           00041                                    32D                                   #      B-1   UX
052312,000430: 11,3204           00025                                    UZ                                    #      B-2  -UY =(UX * UZ)
052313,000431: 11,3205           74372                           VSL1     VXSC                                  #      B-3   -(2Y/R)UY
052314,000432: 11,3206           00021                                    URPV       +2                         #              2  2 -   2        -
052315,000433: 11,3207           41455                           VAD      PUSH                                  #      B-3 (5(X -Y )UR/R )+(2X/R)UX -(
052316,000434: 11,3210           77745                           DLOAD                                          #               -
052317,000435: 11,3211           00023                                    COSPHI/2                              #          2Y/R)UY                  AT 02D
052318,000436: 11,3212           41516                           DSQ      PUSH                                  #      B-2 (Z.COMPONENT)            AT 08D
052319,000437: 11,3213           65205                           DMP      PDDL                                  #                   2
052320,000438: 11,3214           27733                                    5/8                                   #      B-5  5COSPHI/2               AT 08D
052321,000439: 11,3215           43302                           SR2      DAD                                   
052322,000440: 11,3216           00011                                    08D                                   
052323,000441: 11,3217           41221                           BDSU     DMP                                   #                       2
052324,000442: 11,3220           11015                                    D1/32                                 #      B-5  (1 - 7COSPHI )
052325,000443: 11,3221           00017                                    URPV                                  
052326,000444: 11,3222           74205                           DMP      VXSC                                  
052327,000445: 11,3223           27733                                    5/8                                   
052328,000446: 11,3224           02032                                    ALPHAV                                #                          2 -
052329,000447: 11,3225           65272                           VSL5     PDDL                                  #      B-5 (5X/R)(1-7COSPHI )UR     AT 08D
052330,000448: 11,3226           74225                           DSU      VXSC                                  
052331,000449: 11,3227           11015                                    D1/32                                 
052332,000450: 11,3230           00041                                    32D                                   
052333,000451: 11,3231           53372                           VSL1     VAD                                   #                          2 -           -
052334,000452: 11,3232           41325                           PDDL     DMP                                   #      B-5 (5X/R)(1-7COSPHI )UR +(5COSPHI
052335,000453: 11,3233           00017                                    URPV                                  #         -
052336,000454: 11,3234           00023                                    URPV       +4                         #      -1)UX                        AT 08D
052337,000455: 11,3235           74205                           DMP      VXSC                                  
052338,000456: 11,3236           27733                                    5/8                                   #      B-5   5X Y
052339,000457: 11,3237           00025                                    UZ                                    #              M M
052340,000458: 11,3240           53352                           VSL2     VAD                                   #                          2 -           2
052341,000459: 11,3241           60325                           PDDL     NORM                                  #      B-5 (5X/R)(1-7COSPHI )UR +(5COSPHI
052342,000460: 11,3242           02070                                    ALPHAM                                #         -          2 -
052343,000461: 11,3243           00050                                    X2                                    #      -1)UX +(10XZ/R )UZ           AT 08D
052344,000462: 11,3244           67206                           PUSH     SLOAD                                 
052345,000463: 11,3245           01351                                    E32C31RM                              
052346,000464: 11,3246           74271                           DDV      VXSC                                  
052347,000465: 11,3247           63257                           VSL*     PDVL                                  
052348,000466: 11,3250           57601                                    0          -3,2                       

Page 1227

052350,000468: 11,3251           67206                           PUSH     SLOAD                                 
052351,000469: 11,3252           01350                                    E3J22R2M                              
052352,000470: 11,3253           53361                           VXSC     VAD                                   
052353,000471: 11,3254           70257                           VSL*     V/SC                                  
052354,000472: 11,3255           20146                                    0          -27D,1                     #      B+16 OR B+20 (J   + C  )
052355,000473: 11,3256           40055                           VAD      BOV                                   #                     22    31
052356,000474: 11,3257           02062                                    FV                                    
052357,000475: 11,3260           23000                                    GOBAQUE                               
052358,000476: 11,3261           02062                           STORE    FV                                    
052359,000477: 11,3262           77754                           LXA,2                                          
052360,000478: 11,3263           02030                                    PBODY                                 
052361,000479: 11,3264           72135        NBRANCH            SLOAD    LXA,1                                 
052362,000480: 11,3265           01501                                    DIFEQCNT                              
052363,000481: 11,3266           00154                                    MPAC                                  
052364,000482: 11,3267           73205                           DMP      CGOTO                                 
052365,000483: 11,3270           27735                                    -1/12                                 
052366,000484: 11,3271           00155                                    MPAC                                  
052367,000485: 11,3272           23306                                    DIFEQTAB                              
052368,000486: 11,3273           77745        COSPHIE            DLOAD                                          
052369,000487: 11,3274           02036                                    ALPHAV     +4                         
052370,000488: 11,3275           24023                           STOVL    COSPHI/2                              
052371,000489: 11,3276           24001                                    ZUNIT                                 
052372,000490: 11,3277           77650                           GOTO                                           
052373,000491: 11,3300           23061                                    COMTERM                               
052374,000492: 11,3301           57435        MATRIX             VXV      VCOMP                                 
052375,000493: 11,3302           02013                                    504LM                                 #  ROUTINE TRANSLATES FROM PLANETARY
052376,000494: 11,3303           77655                           VAD                                            #  TO INERTIAL COORDINATES
052377,000495: 11,3304           43505                           VXM      RVQ                                   
052378,000496: 11,3305           00025                                    MMATRIX                               
052379,000497: 11,3306           23475        DIFEQTAB           CADR     DIFEQ+0                               
052380,000498: 11,3307           23501                           CADR     DIFEQ+1                               
052381,000499: 11,3310           23512                           CADR     DIFEQ+2                               
052382,000500: 11,3311           77214        TIMESTEP           BOF      VLOAD                                 
052383,000501: 11,3312           00342                                    MIDFLAG                               
052384,000502: 11,3313           23342                                    RECTEST                               
052385,000503: 11,3314           01535                                    RCV                                   
052386,000504: 11,3315           41241                           DOT      DMP                                   
052387,000505: 11,3316           01543                                    VCV                                   
052388,000506: 11,3317           02076                                    DT/2                                  #  (R.V) X (DELTA T)
052389,000507: 11,3320           77640                           BMN                                            
052390,000508: 11,3321           23342                                    RECTEST                               
052391,000509: 11,3322           43014                           BON      BOF                                   
052392,000510: 11,3323           00303                                    MOONFLAG                              
052393,000511: 11,3324           23417                                    LUNSPH                                
052394,000512: 11,3325           04340                                    RPQFLAG                               
052395,000513: 11,3326           23414                                    EARSPH                                
052396,000514: 11,3327           45145                           DLOAD    CALL                                  
052397,000515: 11,3330           01517                                    TET                                   
052398,000516: 11,3331           33641                                    LSPOS                                 #  RPQV IN MPAC
052399,000517: 11,3332           02105                           STORE    RPQV                                  #  RPQV

Page 1228

052401,000519: 11,3333           77754                           LXA,2                                          
052402,000520: 11,3334           02030                                    PBODY                                 
052403,000521: 11,3335           51445        INLUNCHK           BVSU     ABVAL                                 
052404,000522: 11,3336           01535                                    RCV                                   
052405,000523: 11,3337           50025                           DSU      BMN                                   
052406,000524: 11,3340           27741                                    RSPHERE                               
052407,000525: 11,3341           23434                                    DOSWITCH                              
052408,000526: 11,3342           51575        RECTEST            VLOAD    ABVAL                                 #  RECTIFY IF
052409,000527: 11,3343           01521                                    TDELTAV                               
052410,000528: 11,3344           77600                           BOV                                            
052411,000529: 11,3345           23370                                    CALLRECT                              
052412,000530: 11,3346           51025                           DSU      BPL                                   #      1) EITHER TDELTAV OR TNUV EQUALS OR
052413,000531: 11,3347           11226                                    3/4                                   #         EXCEEDS 3/4 IN MAGNITUDE
052414,000532: 11,3350           23370                                    CALLRECT                              
052415,000533: 11,3351           53615                           DAD      SL*                                   #                   OR
052416,000534: 11,3352           11226                                    3/4                                   
052417,000535: 11,3353           57605                                    0          -7,2                       #      2) ABVAL(TDELTAV) EQUALS OR EXCEEDS
052418,000536: 11,3354           45271                           DDV      DSU                                   #         .01(ABVAL(RCV))
052419,000537: 11,3355           00013                                    10D                                   
052420,000538: 11,3356           27737                                    RECRATIO                              
052421,000539: 11,3357           77244                           BPL      VLOAD                                 
052422,000540: 11,3360           23370                                    CALLRECT                              
052423,000541: 11,3361           01527                                    TNUV                                  
052424,000542: 11,3362           45246                           ABVAL    DSU                                   
052425,000543: 11,3363           11226                                    3/4                                   
052426,000544: 11,3364           77600                           BOV                                            
052427,000545: 11,3365           23370                                    CALLRECT                              
052428,000546: 11,3366           77640                           BMN                                            
052429,000547: 11,3367           23372                                    INTGRATE                              
052430,000548: 11,3370           77624        CALLRECT           CALL                                           
052431,000549: 11,3371           27671                                    RECTIFY                               
052432,000550: 11,3372           77775        INTGRATE           VLOAD                                          
052433,000551: 11,3373           01527                                    TNUV                                  
052434,000552: 11,3374           25134                           STOVL    ZV                                    
052435,000553: 11,3375           01521                                    TDELTAV                               
052436,000554: 11,3376           01126                           STORE    YV                                    
052437,000555: 11,3377           77614                           CLEAR                                          
052438,000556: 11,3400           00261                                    JSWITCH                               
052439,000557: 11,3401           66375        DIFEQ0             VLOAD    SSP                                   
052440,000558: 11,3402           01126                                    YV                                    
052441,000559: 11,3403           01501                                    DIFEQCNT                              
052442,000560: 11,3404           00000                                    0                                     
052443,000561: 11,3405           16032                           STODL    ALPHAV                                
052444,000562: 11,3406           24007                                    DPZERO                                
052445,000563: 11,3407           02100                           STORE    H                                     #  START H AT ZERO. GOES 0(DELT/2)DELT.
052446,000564: 11,3410           52014                           BON      GOTO                                  
052447,000565: 11,3411           00301                                    JSWITCH                               
052448,000566: 11,3412           23714                                    DOW..                                 
052449,000567: 11,3413           22524                                    ACCOMP                                
052450,000568: 11,3414           52175        EARSPH             VLOAD    GOTO                                  

Page 1229

052452,000570: 11,3415           02105                                    RPQV                                  
052453,000571: 11,3416           23335                                    INLUNCHK                              
052454,000572: 11,3417           60545        LUNSPH             DLOAD    SR2                                   
052455,000573: 11,3420           00013                                    10D                                   
052456,000574: 11,3421           50025                           DSU      BMN                                   
052457,000575: 11,3422           27741                                    RSPHERE                               
052458,000576: 11,3423           23342                                    RECTEST                               
052459,000577: 11,3424           71214                           BOF      DLOAD                                 
052460,000578: 11,3425           04340                                    RPQFLAG                               
052461,000579: 11,3426           23434                                    DOSWITCH                              
052462,000580: 11,3427           01517                                    TET                                   
052463,000581: 11,3430           77624                           CALL                                           
052464,000582: 11,3431           33641                                    LUNPOS                                
052465,000583: 11,3432           77676                           VCOMP                                          
052466,000584: 11,3433           02105                           STORE    RPQV                                  
052467,000585: 11,3434           77624        DOSWITCH           CALL                                           
052468,000586: 11,3435           23440                                    ORIGCHNG                              
052469,000587: 11,3436           77650                           GOTO                                           
052470,000588: 11,3437           23372                                    INTGRATE                              
052471,000589: 11,3440           45020        ORIGCHNG           STQ      CALL                                  
052472,000590: 11,3441           02112                                    ORIGEX                                
052473,000591: 11,3442           27671                                    RECTIFY                               
052474,000592: 11,3443           53775                           VLOAD    VSL*                                  
052475,000593: 11,3444           01535                                    RCV                                   
052476,000594: 11,3445           57576                                    0,2                                   
052477,000595: 11,3446           53651                           VSU      VSL*                                  
052478,000596: 11,3447           02105                                    RPQV                                  
052479,000597: 11,3450           57574                                    2,2                                   
052480,000598: 11,3451           01503                           STORE    RRECT                                 
052481,000599: 11,3452           01535                           STORE    RCV                                   
052482,000600: 11,3453           57414                           BOF      VCOMP                                 
052483,000601: 11,3454           00343                                    MOONFLAG                              
052484,000602: 11,3455           23456                                    +1                                    
052485,000603: 11,3456           53715                           PDVL     VSL*                                  
052486,000604: 11,3457           01543                                    VCV                                   
052487,000605: 11,3460           57576                                    0,2                                   
052488,000606: 11,3461           77651                           VSU                                            
052489,000607: 11,3462           77657                           VSL*                                           
052490,000608: 11,3463           57574                                    0          +2,2                       
052491,000609: 11,3464           01511                           STORE    VRECT                                 
052492,000610: 11,3465           01543                           STORE    VCV                                   
052493,000611: 11,3466           67154                           LXA,2    SXA,2                                 
052494,000612: 11,3467           02112                                    ORIGEX                                
052495,000613: 11,3470           00052                                    QPRET                                 
052496,000614: 11,3471           52014                           BON      GOTO                                  
052497,000615: 11,3472           00303                                    MOONFLAG                              
052498,000616: 11,3473           26710                                    CLRMOON                               
052499,000617: 11,3474           26715                                    SETMOON                               

Page 1230

052501,000619:                                                                                                  #  THE RECTIFY SUBROUTINE IS CALLED BY THE INTEGRATION PROGRAM AND OCCASIONALLY BY THE MEASUREMENT INCORPORATION
052502,000620:                                                                                                  #  ROUTINES TO ESTABLISH A NEW CONIC.
052503,000621: 
052504,000622: 13,3671                                           BANK     13                                    
052505,000623: 13,2000                                           SETLOC   ORBITAL2                              
052506,000624: 13,2000                                           BANK                                           
052507,000625: 
052508,000626: 13,3671           77354        RECTIFY            LXA,2    VLOAD                                 
052509,000627: 13,3672           02030                                    PBODY                                 
052510,000628: 13,3673           01521                                    TDELTAV                               
052511,000629: 13,3674           53257                           VSL*     VAD                                   
052512,000630: 13,3675           57605                                    0          -7,2                       
052513,000631: 13,3676           01535                                    RCV                                   
052514,000632: 13,3677           01503                           STORE    RRECT                                 
052515,000633: 13,3700           25535                           STOVL    RCV                                   
052516,000634: 13,3701           01527                                    TNUV                                  
052517,000635: 13,3702           53257                           VSL*     VAD                                   
052518,000636: 13,3703           57602                                    0          -4,2                       
052519,000637: 13,3704           01543                                    VCV                                   
052520,000638: 13,3705           01511        MINIRECT           STORE    VRECT                                 
052521,000639: 13,3706           25543                           STOVL    VCV                                   
052522,000640: 13,3707           24007                                    ZEROVEC                               
052523,000641: 13,3710           01521                           STORE    TDELTAV                               
052524,000642: 13,3711           15527                           STODL    TNUV                                  
052525,000643: 13,3712           24007                                    ZEROVEC                               
052526,000644: 13,3713           01551                           STORE    TC                                    
052527,000645: 13,3714           01553                           STORE    XKEP                                  
052528,000646: 13,3715           77616                           RVQ                                            
052529,000647: 11,3475                                           BANK     11                                    
052530,000648: 11,2000                                           SETLOC   ORBITAL                               
052531,000649: 11,2000                                           BANK                                           

Page 1231

052533,000651:                                                                                                  #  THE THREE DIFEQ ROUTINES - DIFEQ+0, DIFEQ+12, AND DIFEQ+24 - ARE ENTEREDTO PROCESS THE CONTRIBUTIONS AT THE
052534,000652:                                                                                                  #  BEGINNING, MIDDLE, AND END OF THE TIMESTEP, RESPECTIVELY. THE UPDATING IS DONE BY THE NYSTROM METHOD.
052535,000653: 11,3475           64575        DIFEQ+0            VLOAD    VSR3                                  
052536,000654: 11,3476           02062                                    FV                                    
052537,000655: 11,3477           36046                           STCALL   PHIV                                  
052538,000656: 11,3500           23655                                    DIFEQCOM                              
052539,000657: 11,3501           74575        DIFEQ+1            VLOAD    VSR1                                  
052540,000658: 11,3502           02062                                    FV                                    
052541,000659: 11,3503           53206                           PUSH     VAD                                   
052542,000660: 11,3504           02046                                    PHIV                                  
052543,000661: 11,3505           26054                           STOVL    PSIV                                  
052544,000662: 11,3506           53362                           VSR1     VAD                                   
052545,000663: 11,3507           02046                                    PHIV                                  
052546,000664: 11,3510           36046                           STCALL   PHIV                                  
052547,000665: 11,3511           23655                                    DIFEQCOM                              
052548,000666: 11,3512           57345        DIFEQ+2            DLOAD    DMPR                                  
052549,000667: 11,3513           02100                                    H                                     
052550,000668: 11,3514           11236                                    DP2/3                                 
052551,000669: 11,3515           74206                           PUSH     VXSC                                  
052552,000670: 11,3516           02046                                    PHIV                                  
052553,000671: 11,3517           53372                           VSL1     VAD                                   
052554,000672: 11,3520           01134                                    ZV                                    
052555,000673: 11,3521           53361                           VXSC     VAD                                   
052556,000674: 11,3522           02100                                    H                                     
052557,000675: 11,3523           01126                                    YV                                    
052558,000676: 11,3524           25126                           STOVL    YV                                    
052559,000677: 11,3525           02062                                    FV                                    
052560,000678: 11,3526           53322                           VSR3     VAD                                   
052561,000679: 11,3527           02054                                    PSIV                                  
052562,000680: 11,3530           76561                           VXSC     VSL1                                  
052563,000681: 11,3531           77655                           VAD                                            
052564,000682: 11,3532           01134                                    ZV                                    
052565,000683: 11,3533           01134                           STORE    ZV                                    
052566,000684: 11,3534           45014                           BOFF     CALL                                  
052567,000685: 11,3535           00341                                    JSWITCH                               
052568,000686: 11,3536           23606                                    ENDSTATE                              
052569,000687: 11,3537           11216                                    GRP2PC                                
052570,000688: 11,3540           77354                           LXA,2    VLOAD                                 
052571,000689: 11,3541           01116                                    COLREG                                
052572,000690: 11,3542           01134                                    ZV                                    
052573,000691: 11,3543           77732                           VSL3                                           #  ADJUST W-POSITION FOR STORAGE
052574,000692: 11,3544           12467                           STORE    W          +54D,2                     
052575,000693: 11,3545           77775                           VLOAD                                          
052576,000694: 11,3546           01126                                    YV                                    
052577,000695: 11,3547           40132                           VSL3     BOV                                   
052578,000696: 11,3550           23700                                    WMATEND                               
052579,000697: 11,3551           12401                           STORE    W,2                                   
052580,000698: 
052581,000699: 11,3552           77624                           CALL                                           
052582,000700: 11,3553           11216                                    GRP2PC                                

Page 1232

052584,000702: 11,3554           66354                           LXA,2    SSP                                   
052585,000703: 11,3555           01116                                    COLREG                                
052586,000704: 11,3556           00052                                    S2                                    
052587,000705: 11,3557           00000                                    0                                     
052588,000706: 11,3560           67114                           INCR,2   SXA,2                                 
052589,000707: 11,3561           00006                                    6                                     
052590,000708: 11,3562           01125                                    YV                                    
052591,000709: 11,3563           45104                           TIX,2    CALL                                  
052592,000710: 11,3564           23651                                    RELOADSV                              
052593,000711: 11,3565           11216                                    GRP2PC                                
052594,000712: 11,3566           67154                           LXA,2    SXA,2                                 
052595,000713: 11,3567           01125                                    YV                                    
052596,000714: 11,3570           01116                                    COLREG                                
052597,000715: 
052598,000716: 11,3571           77624        NEXTCOL            CALL                                           
052599,000717: 11,3572           11216                                    GRP2PC                                
052600,000718: 11,3573           76754                           LXA,2    VLOAD*                                
052601,000719: 11,3574           01116                                    COLREG                                
052602,000720: 11,3575           75376                                    W,2                                   
052603,000721: 11,3576           77722                           VSR3                                           #  ADJUST W-POSITION FOR INTEGRATION
052604,000722: 11,3577           01126                           STORE    YV                                    
052605,000723: 11,3600           76173                           VLOAD*   AXT,1                                 
052606,000724: 11,3601           75310                                    W          +54D,2                     
052607,000725: 11,3602           00000                                    0                                     
052608,000726: 11,3603           77722                           VSR3                                           #  ADJUST W-VELOCITY FOR INTEGRATION
052609,000727: 11,3604           35134                           STCALL   ZV                                    
052610,000728: 11,3605           23401                                    DIFEQ0                                
052611,000729: 
052612,000730: 11,3606           77200        ENDSTATE           BOV      VLOAD                                 
052613,000731: 11,3607           23000                                    GOBAQUE                               
052614,000732: 11,3610           01134                                    ZV                                    
052615,000733: 11,3611           25527                           STOVL    TNUV                                  
052616,000734: 11,3612           01126                                    YV                                    
052617,000735: 11,3613           01521                           STORE    TDELTAV                               
052618,000736: 11,3614           43014                           BON      BOFF                                  
052619,000737: 11,3615           04715                                    MIDAVFLG                              
052620,000738: 11,3616           27627                                    CKMID2                                #  CHECK FOR MID2 BEFORE GOING TO TIMEINC
052621,000739: 11,3617           01756                                    DIM0FLAG                              
052622,000740: 11,3620           27256                                    TESTLOOP                              
052623,000741: 11,3621           77776                           EXIT                                           
052624,000742: 11,3622           05364                           TC       PHASCHNG                              
052625,000743: 11,3623           04022                           OCT      04022                                 #  PHASE 1
052626,000744: 11,3624           05515                           TC       UPFLAG                                #  PHASE CHANGE HAS OCCURRED BETWEEN
052627,000745: 11,3625           00236                           ADRES    REINTFLG                              #  INTSTALL AND INTWAKE
052628,000746: 11,3626           06042                           TC       INTPRET                               
052629,000747: 11,3627           77731                           SSP                                            
052630,000748: 11,3630           00053                                    QPRET                                 
052631,000749: 11,3631           23636                                    AMOVED                                
052632,000750: 11,3632           52014                           BON      GOTO                                  
052633,000751: 11,3633           01714                                    VINTFLAG                              

Page 1233

052635,000753: 11,3634           26660                                    ATOPCSM                               
052636,000754: 11,3635           26733                                    ATOPLEM                               
052637,000755: 11,3636           66214        AMOVED             SET      SSP                                   
052638,000756: 11,3637           00061                                    JSWITCH                               
052639,000757: 11,3640           01117                                    COLREG                                
052640,000758: 11,3641           77741                           DEC      -30        B-14                       
052641,000759: 11,3642           66214                           BOFF     SSP                                   
052642,000760: 11,3643           01755                                    D6OR9FLG                              
052643,000761: 11,3644           23571                                    NEXTCOL                               
052644,000762: 11,3645           01117                                    COLREG                                
052645,000763: 11,3646           77717                           DEC      -48        B-14                       
052646,000764: 11,3647           77650                           GOTO                                           
052647,000765: 11,3650           23571                                    NEXTCOL                               
052648,000766: 
052649,000767: 
052650,000768: 11,3651           77745        RELOADSV           DLOAD                                          #  RELOAD TEMPORARY STATE VECTOR
052651,000769: 11,3652           01115                                    TDEC                                  #  FROM PERMANENT IN CASE OF
052652,000770: 11,3653           34041                           STCALL   TDEC1                                 
052653,000771: 11,3654           27140                                    INTEGRV2                              #  BY STARTING AT INTEGRV2.
052654,000772: 11,3655           43345        DIFEQCOM           DLOAD    DAD                                   #  INCREMENT H AND DIFEQCNT.
052655,000773: 11,3656           02076                                    DT/2                                  
052656,000774: 11,3657           02100                                    H                                     
052657,000775: 11,3660           66110                           INCR,1   SXA,1                                 
052658,000776: 11,3661           77763                           DEC      -12        B-14                       
052659,000777: 11,3662           01500                                    DIFEQCNT                              #  DIFEQCNT SET FOR NEXT ENTRY.
052660,000778: 11,3663           02100                           STORE    H                                     
052661,000779: 11,3664           74561                           VXSC     VSR1                                  
052662,000780: 11,3665           02062                                    FV                                    
052663,000781: 11,3666           74255                           VAD      VXSC                                  
052664,000782: 11,3667           01134                                    ZV                                    
052665,000783: 11,3670           02100                                    H                                     
052666,000784: 11,3671           77655                           VAD                                            
052667,000785: 11,3672           01126                                    YV                                    
052668,000786: 11,3673           02032                           STORE    ALPHAV                                
052669,000787: 11,3674           52014                           BON      GOTO                                  
052670,000788: 11,3675           00301                                    JSWITCH                               
052671,000789: 11,3676           23714                                    DOW..                                 
052672,000790: 11,3677           22504                                    FBR3                                  
052673,000791: 
052674,000792: 
052675,000793: 11,3700           43014        WMATEND            CLEAR    CLEAR                                 
052676,000794: 11,3701           01676                                    DIM0FLAG                              #  DONT INTEGRATE W THIS TIME
052677,000795: 11,3702           01671                                    ORBWFLAG                              #  INVALIDATE W
052678,000796: 11,3703           77614                           CLEAR                                          
052679,000797: 11,3704           02676                                    RENDWFLG                              
052680,000798: 11,3705           77414                           SET      EXIT                                  
052681,000799: 11,3706           01472                                    STATEFLG                              #  PICK UP STATE VECTOR UPDATE
052682,000800: 11,3707           05600                           TC       ALARM                                 
052683,000801: 11,3710           00421                           OCT      421                                   
052684,000802: 11,3711           06042                           TC       INTPRET                               

Page 1234

052686,000804: 11,3712           77650                           GOTO                                           
052687,000805: 11,3713           27256                                    TESTLOOP                              #  FINISH INTEGRATING STATE VECTOR
052688,000806: 

Page 1235

052690,000808:                                                                                                  #  ORBITAL ROUTINE FOR EXTRAPOLATION OF THE W MATRIX. IT COMPUTES THE SECOND DERIVATIVE OF EACH COLUMN POSITION
052691,000809:                                                                                                  #  VECTOR OF THE MATRIX AND CALLS THE NYSTROM INTEGRATION ROUTINES TO SOLVETHE DIFFERENTIAL EQUATIONS. THE PROGRAM
052692,000810:                                                                                                  #  USES A TABLE OF VEHICLE POSITION VECTORS COMPUTED DURING THE INTEGRATION OF THE VEHICLES POSITION AND VELOCITY.
052693,000811: 11,3714           70754        DOW..              LXA,2    DLOAD*                                
052694,000812: 11,3715           02030                                    PBODY                                 
052695,000813: 11,3716           51770                                    MUEARTH,2                             
052696,000814: 11,3717           36072                           STCALL   BETAM                                 
052697,000815: 11,3720           23742                                    DOW..1                                
052698,000816: 11,3721           02062                           STORE    FV                                    
052699,000817: 11,3722           62014                           BOF      INCR,1                                
052700,000818: 11,3723           00342                                    MIDFLAG                               
052701,000819: 11,3724           23264                                    NBRANCH                               
052702,000820: 11,3725           77771                           DEC      -6         B-14                       
052703,000821: 11,3726           70744                           LXC,2    DLOAD*                                
052704,000822: 11,3727           02030                                    PBODY                                 
052705,000823: 11,3730           51772                                    MUEARTH    -2,2                       
052706,000824: 11,3731           36072                           STCALL   BETAM                                 
052707,000825: 11,3732           23742                                    DOW..1                                
052708,000826: 11,3733           50414                           BON      VSR6                                  
052709,000827: 11,3734           00303                                    MOONFLAG                              
052710,000828: 11,3735           23736                                    +1                                    
052711,000829: 11,3736           77655                           VAD                                            
052712,000830: 11,3737           02062                                    FV                                    
052713,000831: 11,3740           36062                           STCALL   FV                                    
052714,000832: 11,3741           23264                                    NBRANCH                               
052715,000833: 11,3742           60575        DOW..1             VLOAD    VSR4                                  
052716,000834: 11,3743           02032                                    ALPHAV                                
052717,000835: 11,3744           53513                           PDVL*    UNIT                                  
052718,000836: 11,3745           02132                                    VECTAB,1                              
052719,000837: 11,3746           46315                           PDVL     VPROJ                                 
052720,000838: 11,3747           02032                                    ALPHAV                                
052721,000839: 11,3750           52361                           VXSC     VSU                                   
052722,000840: 11,3751           11226                                    3/4                                   
052723,000841: 11,3752           60325                           PDDL     NORM                                  
052724,000842: 11,3753           00045                                    36D                                   
052725,000843: 11,3754           00052                                    S2                                    
052726,000844: 11,3755           63406                           PUSH     DSQ                                   
052727,000845: 11,3756           77605                           DMP                                            
052728,000846: 11,3757           65301                           NORM     PDDL                                  
052729,000847: 11,3760           00043                                    34D                                   
052730,000848: 11,3761           02072                                    BETAM                                 
052731,000849: 11,3762           56342                           SR1      DDV                                   
052732,000850: 11,3763           77761                           VXSC                                           
052733,000851: 11,3764           57154                           LXA,2    XAD,2                                 
052734,000852: 11,3765           00051                                    S2                                    
052735,000853: 11,3766           00051                                    S2                                    
052736,000854: 11,3767           57074                           XAD,2    XAD,2                                 
052737,000855: 11,3770           00051                                    S2                                    
052738,000856: 11,3771           00042                                    34D                                   
052739,000857: 11,3772           43457                           VSL*     RVQ                                   

Page 1236

052741,000859: 11,3773           57606                                    0          -8D,2                      #  ****************************************
052742,000860: 12,2000                                           SETLOC   ORBITAL1                              
052743,000861: 12,2000                                           BANK                                           
052744,000862: 
052745,000863: 12,3755           04631 23146  3/5                2DEC     .6         B-2                        
052746,000864: 
052747,000865: 12,3757           14000 00000  THREE/8            2DEC     .375                                  
052748,000866: 
052749,000867: 12,3761           02314 31463  .3D                2DEC     .3         B-2                        
052750,000868: 
052751,000869: 12,3763           01400 00000  3/64               2DEC     3          B-6                        
052752,000870: 
052753,000871: 12,3765           10000 00000  DP1/4              2DEC     .25                                   
052754,000872: 
052755,000873: 12,3767  12,3765               DQUARTER           EQUALS   DP1/4                                 
052756,000874: 12,3767  12,3765               POS1/4             EQUALS   DP1/4                                 
052757,000875: 12,3767           03000 00000  3/32               2DEC     3          B-5                        
052758,000876: 
052759,000877: 12,3771           36000 00000  15/16              2DEC     15.        B-4                        
052760,000878: 
052761,000879: 05,3777                                           BANK     05                                    
052762,000880: 04,2000                                           SETLOC   ORBITAL3                              
052763,000881: 04,2000                                           BANK                                           
052764,000882: 
052765,000883: 04,3225           30000 00000  3/4                2DEC     3.0        B-2                        
052766,000884: 
052767,000885: 04,3227           22525 12525  7/12               2DEC     .5833333333                            
052768,000886: 
052769,000887: 04,3231           22000 00000  9/16               2DEC     9          B-4                        
052770,000888: 
052771,000889: 04,3233           01200 00000  5/128              2DEC     5          B-7                        
052772,000890: 
052773,000891: 04,3235  12,2006               DPZERO             EQUALS   ZEROVEC                               
052774,000892: 04,3235           25252 25253  DP2/3              2DEC     .6666666667                            
052775,000893: 
052776,000894: 04,3237  04,3235               2/3                EQUALS   DP2/3                                 
052777,000895: 04,3237           00027        OCT27              OCT      27                                    
052778,000896: 13,3716                                           BANK     13                                    
052779,000897: 13,2000                                           SETLOC   ORBITAL2                              
052780,000898: 13,2000                                           BANK                                           
052781,000899:                                                                                                  #  IT IS VITAL THAT THE FOLLOWING CONSTANTS NOT BE SHUFFLED
052782,000900: 13,3716           77764                           DEC      -11        B-14                       
052783,000901: 13,3717           77775                           DEC      -2         B-14                       
052784,000902: 13,3720           77766                           DEC      -9         B-14                       
052785,000903: 13,3721           77771                           DEC      -6         B-14                       
052786,000904: 13,3722           77775                           DEC      -2         B-14                       
052787,000905: 13,3723           77775                           DEC      -2         B-14                       
052788,000906: 13,3724           00000                           DEC      0          B-14                       
052789,000907: 13,3725           77763                           DEC      -12        B-14                       
052790,000908: 13,3726           77766                           DEC      -9         B-14                       

Page 1237

052792,000910: 13,3727           77773                           DEC      -4         B-14                       
052793,000911: 13,3730           77770        ASCALE             DEC      -7         B-14                       
052794,000912: 13,3731           77771                           DEC      -6         B-14                       
052795,000913: 13,3732           24000 00000  5/8                2DEC     5          B-3                        
052796,000914: 
052797,000915: 13,3734           74631 63145  -1/12              2DEC     -.1                                   
052798,000916: 
052799,000917: 13,3736           00243 32703  RECRATIO           2DEC     .01                                   
052800,000918: 
052801,000919: 13,3740           03654 21000  RSPHERE            2DEC     64373.76   E3         B-29            
052802,000920: 
052803,000921: 13,3742           03654 21000  RDM                2DEC     16093.44   E3         B-27            
052804,000922: 
052805,000923: 13,3744           04627 25200  RDE                2DEC     80467.20   E3         B-29            
052806,000924: 
052807,000925: 13,3746                        RATT               EQUALS   00                                    
052808,000926: 13,3746                        VATT               EQUALS   6D                                    
052809,000927: 13,3746                        TAT                EQUALS   12D                                   
052810,000928: 13,3746                        RATT1              EQUALS   14D                                   
052811,000929: 13,3746                        VATT1              EQUALS   20D                                   
052812,000930: 13,3746                        MU(P)              EQUALS   26D                                   
052813,000931: 13,3746                        TDEC1              EQUALS   32D                                   
052814,000932: 13,3746                        URPV               EQUALS   14D                                   
052815,000933: 13,3746     0022               COSPHI/2           EQUALS   URPV       +4                         
052816,000934: 13,3746                        UZ                 EQUALS   20D                                   
052817,000935: 13,3746                        TVEC               EQUALS   26D                                   

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