Source Code

These source-code files are part of a reconstructed copy of Luminary 178, the final release of the Apollo 14 Lunar Module (LM) Apollo Guidance Computer (AGC) software.

The reconstruction began with source code of Zerlina 56, Luminary 210, and Luminary 131, previously transcribed from digitized copies of those programs. The code was created by combining the three, using Zerlina 56 as a base, since it was based off of Luminary 183. The differences between the three were carefully merged using the Luminary memos as a guide, with all changes made after Luminary 178 being backed out. 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 178 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.

052045,000002:                                                                                                  ## Copyright:   Public domain.
052046,000003:                                                                                                  ## Filename:    ORBITAL_INTEGRATION.agc
052047,000004:                                                                                                  ## Purpose:     A section of Luminary revision 178.
052048,000005:                                                                                                  ##              It is part of the reconstructed source code for the final
052049,000006:                                                                                                  ##              release of the flight software for the Lunar Module's
052050,000007:                                                                                                  ##              (LM) Apollo Guidance Computer (AGC) for Apollo 14. The
052051,000008:                                                                                                  ##              code has been recreated from copies of Zerlina 56, Luminary
052052,000009:                                                                                                  ##              210, and Luminary 131, as well as many Luminary memos.
052053,000010:                                                                                                  ##              It has been adapted such that the resulting bugger words
052054,000011:                                                                                                  ##              exactly match those specified for Luminary 178 in NASA
052055,000012:                                                                                                  ##              drawing 2021152N, which gives relatively high confidence
052056,000013:                                                                                                  ##              that the reconstruction is correct.
052057,000014:                                                                                                  ## Reference:   pp. 1217-1237
052058,000015:                                                                                                  ## Assembler:   yaYUL
052059,000016:                                                                                                  ## Contact:     Ron Burkey <info@sandroid.org>.
052060,000017:                                                                                                  ## Website:     www.ibiblio.org/apollo/index.html
052061,000018:                                                                                                  ## Mod history: 2019-08-14 MAS  Created from Zerlina 56.
052062,000019:                                                                                                  ##              2019-09-15 MAS  Restored the STORE RQVV in ACCOMP.
052063,000020: 

Page 1217

052065,000022:                                                                                                  #           DELETE
052066,000023: 13,3671                                           BANK     13                                    
052067,000024: 11,2000                                           SETLOC   ORBITAL                               
052068,000025: 11,2000                                           BANK                                           
052069,000026: 11,2404                                           COUNT*   $$/ORBIT                              
052070,000027:                                                                                                  #           DELETE
052071,000028: 11,2404           40354        KEPPREP            LXA,2    SETPD                                 
052072,000029: 11,2405           02030                                    PBODY                                 
052073,000030: 11,2406           00001                                    0                                     
052074,000031: 11,2407           75543                           DLOAD*   SQRT                                  #  SQRT(MU) (+18 OR +15)  0D        PL  2D
052075,000032: 11,2410           51770                                    MUEARTH,2                             
052076,000033: 11,2411           53515                           PDVL     UNIT                                  #                                   PL  8D
052077,000034: 11,2412           01535                                    RCV                                   
052078,000035: 11,2413           60325                           PDDL     NORM                                  #  NORM R (+29 OR +27 - N1) 2D      PL  4D
052079,000036: 11,2414           00045                                    36D                                   
052080,000037: 11,2415           00047                                    X1                                    
052081,000038: 11,2416           77715                           PDVL                                           
052082,000039: 11,2417           65241                           DOT      PDDL                                  #  F*SQRT(MU)(+7 OR+5) 4D         PL  6D
052083,000040: 11,2420           01543                                    VCV                                   
052084,000041: 11,2421           02074                                    TAU.                                  #  (+28)
052085,000042: 11,2422           60225                           DSU      NORM                                  
052086,000043: 11,2423           01551                                    TC                                    
052087,000044: 11,2424           00051                                    S1                                    
052088,000045: 11,2425           77742                           SR1                                            
052089,000046: 11,2426           65271                           DDV      PDDL                                  
052090,000047: 11,2427           00003                                    2D                                    
052091,000048: 11,2430           41405                           DMP      PUSH                                  #  FS(+6 +N1-N2) 6D               PL   8D
052092,000049: 11,2431           00005                                    4D                                    
052093,000050: 11,2432           65316                           DSQ      PDDL                                  #  (FS)SQ(+12 +2(N1-N2)) 8D       PL  10D
052094,000051: 11,2433           00005                                    4D                                    
052095,000052: 11,2434           64716                           DSQ      PDDL*                                 #  SSQ/MU(-20R +2(N1-N2)) 10D       PL  12D
052096,000053: 11,2435           51770                                    MUEARTH,2                             
052097,000054: 11,2436           40442                           SR3      SR4                                   
052098,000055: 11,2437           47515                           PDVL     VSQ                                   #  PREALIGN MU (+43 OR +37) 12D   PL 14D
052099,000056: 11,2440           01543                                    VCV                                   
052100,000057: 11,2441           44205                           DMP      BDSU                                  #                                 PL 12D
052101,000058: 11,2442           00045                                    36D                                   
052102,000059: 11,2443           41271                           DDV      DMP                                   #                                 PL 10D
052103,000060: 11,2444           00003                                    2D                                    #  -(1/R-ALPHA)(+12 +3N1-2N2)
052104,000061: 11,2445           53605                           DMP      SL*                                   
052105,000062: 11,2446           11236                                    DP2/3                                 
052106,000063: 11,2447           20176                                    0          -3,1                       #  10L(1/R-ALPHA)(+13 +2(N1-N2))
052107,000064: 11,2450           43260                           XSU,1    DAD                                   #  2(FS)SQ - ETCETRA        PL 8D
052108,000065: 11,2451           00050                                    S1                                    #  X1 = N2-N1
052109,000066: 11,2452           45257                           SL*      DSU                                   #  -FS+2(FS)SQ ETC (+6 +N1-N2)    PL  6D
052110,000067: 11,2453           20211                                    8D,1                                  
052111,000068: 11,2454           41205                           DMP      DMP                                   
052112,000069: 11,2455           00001                                    0D                                    
052113,000070: 11,2456           00005                                    4D                                    
052114,000071: 11,2457           53657                           SL*      SL*                                   

Page 1218

052116,000073: 11,2460           20211                                    8D,1                                  
052117,000074: 11,2461           20201                                    0,1                                   #  S(-FS(1-2FS)-1/6...)(+17 OR +16)
052118,000075: 11,2462           65215                           DAD      PDDL                                  #                                 PL  6D
052119,000076: 11,2463           01553                                    XKEP                                  
052120,000077: 11,2464           53605                           DMP      SL*                                   #  S(+17 OR +16)
052121,000078: 11,2465           00001                                    0D                                    
052122,000079: 11,2466           20202                                    1,1                                   
052123,000080: 11,2467           43204                           BOVB     DAD                                   
052124,000081: 11,2470           57754                                    TCDANZIG                              
052125,000082: 11,2471           77626                           STADR                                          
052126,000083: 11,2472           75647                           STORE    XKEPNEW                               
052127,000084: 11,2473           74020                           STQ      AXC,1                                 
052128,000085: 11,2474           02112                                    KEPRTN                                
052129,000086: 11,2475           00012                           DEC      10         B-14                       
052130,000087: 11,2476           74014                           BON      AXC,1                                 
052131,000088: 11,2477           00303                                    MOONFLAG                              
052132,000089: 11,2500           24023                                    KEPLERN                               
052133,000090: 11,2501           00002                           DEC      2          B-14                       
052134,000091: 11,2502           77650                           GOTO                                           
052135,000092: 11,2503           24023                                    KEPLERN                               
052136,000093: 

Page 1219

052138,000095: 11,2504           66350        FBR3               LXA,1    SSP                                   
052139,000096: 11,2505           01500                                    DIFEQCNT                              
052140,000097: 11,2506           00051                                    S1                                    
052141,000098: 11,2507           77762                           DEC      -13        B-14                       
052142,000099: 11,2510           54345                           DLOAD    SR                                    
052143,000100: 11,2511           02076                                    DT/2                                  
052144,000101: 11,2512           20612                                    9D                                    
052145,000102: 11,2513           61500                           TIX,1    ROUND                                 
052146,000103: 11,2514           22515                                    +1                                    
052147,000104: 11,2515           43206                           PUSH     DAD                                   
052148,000105: 11,2516           01551                                    TC                                    
052149,000106: 11,2517           16074                           STODL    TAU.                                  
052150,000107: 11,2520           77615                           DAD                                            
052151,000108: 11,2521           01517                                    TET                                   
052152,000109: 11,2522           35517                           STCALL   TET                                   
052153,000110: 11,2523           22404                                    KEPPREP                               
052154,000111: 

Page 1220

052156,000113:                                                                                                  #  AGC ROUTINE TO COMPUTE ACCELERATION COMPONENTS.
052157,000114: 
052158,000115: 
052159,000116: 11,2524           73150        ACCOMP             LXA,1    LXA,2                                 
052160,000117: 11,2525           02030                                    PBODY                                 
052161,000118: 11,2526           02030                                    PBODY                                 
052162,000119: 11,2527           77775                           VLOAD                                          
052163,000120: 11,2530           24007                                    ZEROVEC                               
052164,000121: 11,2531           26062                           STOVL    FV                                    
052165,000122: 11,2532           02032                                    ALPHAV                                
052166,000123: 11,2533           53257                           VSL*     VAD                                   
052167,000124: 11,2534           57605                                    0          -7,2                       
052168,000125: 11,2535           01535                                    RCV                                   
052169,000126: 11,2536           02040                           STORE    BETAV                                 
052170,000127: 11,2537           65014                           BOF      XCHX,2                                
052171,000128: 11,2540           01756                                    DIM0FLAG                              
052172,000129: 11,2541           22546                                    +5                                    
052173,000130: 11,2542           01500                                    DIFEQCNT                              
052174,000131: 11,2543           12132                           STORE    VECTAB,2                              
052175,000132: 11,2544           77724                           XCHX,2                                         
052176,000133: 11,2545           01500                                    DIFEQCNT                              
052177,000134: 11,2546           53575                           VLOAD    UNIT                                  
052178,000135: 11,2547           02032                                    ALPHAV                                
052179,000136: 11,2550           16032                           STODL    ALPHAV                                
052180,000137: 11,2551           00045                                    36D                                   
052181,000138: 11,2552           36070                           STCALL   ALPHAM                                
052182,000139: 11,2553           22655                                    GAMCOMP                               
052183,000140: 11,2554           66175                           VLOAD    SXA,1                                 
052184,000141: 11,2555           02040                                    BETAV                                 
052185,000142: 11,2556           00051                                    S2                                    
052186,000143: 11,2557           16032                           STODL    ALPHAV                                
052187,000144: 11,2560           02072                                    BETAM                                 
052188,000145: 11,2561           02070                           STORE    ALPHAM                                
052189,000146: 11,2562           71214                           BOF      DLOAD                                 
052190,000147: 11,2563           00342                                    MIDFLAG                               
052191,000148: 11,2564           23026                                    OBLATE                                
052192,000149: 11,2565           01517                                    TET                                   
052193,000150: 11,2566           77624                           CALL                                           
052194,000151: 11,2567           33660                                    LSPOS                                 
052195,000152: 11,2570           72174                           AXT,2    LXA,1                                 
052196,000153: 11,2571           00002                                    2                                     
052197,000154: 11,2572           00051                                    S2                                    
052198,000155: 11,2573           77614                           BOF                                            
052199,000156: 11,2574           00343                                    MOONFLAG                              
052200,000157: 11,2575           22600                                    +3                                    
052201,000158: 11,2576           77076                           VCOMP    AXT,2                                 
052202,000159: 11,2577           00000                                    0                                     
052203,000160: 11,2600           02040                           STORE    BETAV                                 
052204,000161: 11,2601           26105                           STOVL    RPQV                                  
052205,000162: 11,2602           00003                                    2D                                    

Page 1221

052207,000164: 11,2603           02122                           STORE    RPSV                                  
052208,000165: 11,2604           45335                           SLOAD    DSU                                   
052209,000166: 11,2605           01011                                    MODREG                                
052210,000167: 11,2606           11240                                    OCT27                                 
052211,000168: 11,2607           43030                           BHIZ     BOF                                   
052212,000169: 11,2610           22613                                    +3                                    
052213,000170: 11,2611           01756                                    DIM0FLAG                              
052214,000171: 11,2612           22627                                    GETRPSV                               
052215,000172: 11,2613           74375                           VLOAD    VXSC                                  
052216,000173: 11,2614           02032                                    ALPHAV                                
052217,000174: 11,2615           02070                                    ALPHAM                                
052218,000175: 11,2616           52257                           VSR*     VSU                                   
052219,000176: 11,2617           57175                                    1,2                                   
052220,000177: 11,2620           02040                                    BETAV                                 
052221,000178: 11,2621           77724                           XCHX,2                                         
052222,000179: 11,2622           01500                                    DIFEQCNT                              
052223,000180: 11,2623           12140                           STORE    VECTAB     +6,2                       
052224,000181: 11,2624           02114                           STORE    RQVV                                  
052225,000182: 11,2625           77724                           XCHX,2                                         
052226,000183: 11,2626           01500                                    DIFEQCNT                              
052227,000184: 11,2627           62175        GETRPSV            VLOAD    INCR,1                                
052228,000185: 11,2630           02105                                    RPQV                                  
052229,000186: 11,2631           00004                                    4                                     
052230,000187: 11,2632           43014                           CLEAR    BOF                                   
052231,000188: 11,2633           04260                                    RPQFLAG                               
052232,000189: 11,2634           00343                                    MOONFLAG                              
052233,000190: 11,2635           22642                                    +5                                    
052234,000191: 11,2636           53261                           VSR      VAD                                   
052235,000192: 11,2637           20612                                    9D                                    
052236,000193: 11,2640           02122                                    RPSV                                  
052237,000194: 11,2641           02122                           STORE    RPSV                                  
052238,000195: 11,2642           77624                           CALL                                           
052239,000196: 11,2643           22655                                    GAMCOMP                               
052240,000197: 11,2644           62174                           AXT,2    INCR,1                                
052241,000198: 11,2645           00004                                    4                                     
052242,000199: 11,2646           00004                                    4                                     
052243,000200: 11,2647           77775                           VLOAD                                          
052244,000201: 11,2650           02122                                    RPSV                                  
052245,000202: 11,2651           36040                           STCALL   BETAV                                 
052246,000203: 11,2652           22655                                    GAMCOMP                               
052247,000204: 11,2653           77650                           GOTO                                           
052248,000205: 11,2654           23026                                    OBLATE                                
052249,000206: 11,2655           74575        GAMCOMP            VLOAD    VSR1                                  
052250,000207: 11,2656           02040                                    BETAV                                 
052251,000208: 11,2657           40236                           VSQ      SETPD                                 
052252,000209: 11,2660           00001                                    0                                     
052253,000210: 11,2661           61501                           NORM     ROUND                                 
052254,000211: 11,2662           00040                                    31D                                   
052255,000212: 11,2663           60325                           PDDL     NORM                                  #  NORMED B SQUARED TO PD LIST
052256,000213: 11,2664           02070                                    ALPHAM                                #  NORMALIZE (LESS ONE) LENGTH OF ALPHA
052257,000214: 11,2665           00041                                    32D                                   #  SAVING NORM SCALE FACTOR IN X1

Page 1222

052259,000216: 11,2666           63342                           SR1      PDVL                                  
052260,000217: 11,2667           02040                                    BETAV                                 #  C(PDL+2) = ALMOST NORMED ALPHA
052261,000218: 11,2670           77656                           UNIT                                           
052262,000219: 11,2671           16040                           STODL    BETAV                                 
052263,000220: 11,2672           00045                                    36D                                   
052264,000221: 11,2673           02072                           STORE    BETAM                                 
052265,000222: 11,2674           55301                           NORM     BDDV                                  #  FORM NORMALIZED QUOTIENT ALPHAM/BETAM
052266,000223: 11,2675           00042                                    33D                                   
052267,000224: 11,2676           41562                           SR1R     PUSH                                  #  C(PDL+2) = ALMOST NORMALIZED RHO.
052268,000225: 11,2677           77743                           DLOAD*                                         
052269,000226: 11,2700           27731                                    ASCALE,1                              
052270,000227: 11,2701           00051                           STORE    S1                                    
052271,000228: 11,2702           57124                           XCHX,2   XAD,2                                 
052272,000229: 11,2703           00050                                    S1                                    
052273,000230: 11,2704           00040                                    32D                                   
052274,000231: 11,2705           71264                           XSU,2    DLOAD                                 
052275,000232: 11,2706           00041                                    33D                                   
052276,000233: 11,2707           00003                                    2D                                    
052277,000234: 11,2710           65057                           SR*      XCHX,2                                
052278,000235: 11,2711           57177                                    0          -1,2                       
052279,000236: 11,2712           00050                                    S1                                    
052280,000237: 11,2713           74406                           PUSH     SR1R                                  #  RHO/4 TO 4D
052281,000238: 11,2714           50315                           PDVL     DOT                                   
052282,000239: 11,2715           02032                                    ALPHAV                                
052283,000240: 11,2716           02040                                    BETAV                                 
052284,000241: 11,2717           44372                           SL1R     BDSU                                  #  (RHO/4) - 2(ALPHAV/2.BETAV/2)
052285,000242: 11,2720           57206                           PUSH     DMPR                                  #  TO PDL+6
052286,000243: 11,2721           00005                                    4                                     
052287,000244: 11,2722           77752                           SL1                                            
052288,000245: 11,2723           43206                           PUSH     DAD                                   
052289,000246: 11,2724           25766                                    DQUARTER                              
052290,000247: 11,2725           75406                           PUSH     SQRT                                  
052291,000248: 11,2726           41475                           DMPR     PUSH                                  
052292,000249: 11,2727           00013                                    10D                                   
052293,000250: 11,2730           43352                           SL1      DAD                                   
052294,000251: 11,2731           25766                                    DQUARTER                              
052295,000252: 11,2732           43325                           PDDL     DAD                                   #  (1/4)+2((Q+1)/4)    TO PD+14D
052296,000253: 11,2733           00013                                    10D                                   
052297,000254: 11,2734           24005                                    HALFDP                                
052298,000255: 11,2735           72475                           DMPR     SL1                                   
052299,000256: 11,2736           00011                                    8D                                    
052300,000257: 11,2737           56215                           DAD      DDV                                   
052301,000258: 11,2740           25760                                    THREE/8                               
052302,000259: 11,2741           00017                                    14D                                   
052303,000260: 11,2742           74275                           DMPR     VXSC                                  
052304,000261: 11,2743           00007                                    6                                     
052305,000262: 11,2744           02040                                    BETAV                                 #                -
052306,000263: 11,2745           64515                           PDVL     VSR3                                  #  (G/2)(C(PD+4))B/2 TO PD+16D
052307,000264: 11,2746           02032                                    ALPHAV                                
052308,000265: 11,2747           41455                           VAD      PUSH                                  #  A12 + C(PD+16D) TO PD+16D

Page 1223

052310,000267: 11,2750           41345                           DLOAD    DMP                                   
052311,000268: 11,2751           00001                                    0                                     
052312,000269: 11,2752           00015                                    12D                                   #  -
052313,000270: 11,2753           61501                           NORM     ROUND                                 
052314,000271: 11,2754           00037                                    30D                                   
052315,000272: 11,2755           40665                           BDDV     DMP*                                  
052316,000273: 11,2756           00003                                    2                                     
052317,000274: 11,2757           51770                                    MUEARTH,2                             
052318,000275: 11,2760           74276                           DCOMP    VXSC                                  
052319,000276: 11,2761           57124                           XCHX,2   XAD,2                                 
052320,000277: 11,2762           00050                                    S1                                    
052321,000278: 11,2763           00051                                    S2                                    
052322,000279: 11,2764           55064                           XSU,2    XSU,2                                 
052323,000280: 11,2765           00036                                    30D                                   
052324,000281: 11,2766           00037                                    31D                                   
052325,000282: 11,2767           53604                           BOVB     VSR*                                  
052326,000283: 11,2770           57754                                    TCDANZIG                              
052327,000284: 11,2771           57177                                    0          -1,2                       
052328,000285: 11,2772           53324                           XCHX,2   VAD                                   
052329,000286: 11,2773           00050                                    S1                                    
052330,000287: 11,2774           02062                                    FV                                    
052331,000288: 11,2775           02062                           STORE    FV                                    
052332,000289: 11,2776           43400                           BOV      RVQ                                   #  RETURN IF NO OVERFLOW
052333,000290: 11,2777           23000                                    +1                                    
052334,000291: 11,3000           51575        GOBAQUE            VLOAD    ABVAL                                 
052335,000292: 11,3001           01521                                    TDELTAV                               
052336,000293: 11,3002           77654                           BZE                                            
052337,000294: 11,3003           23023                                    INT-ABRT                              
052338,000295: 11,3004           54345                           DLOAD    SR                                    
052339,000296: 11,3005           02100                                    H                                     
052340,000297: 11,3006           20612                                    9D                                    
052341,000298: 11,3007           44206                           PUSH     BDSU                                  
052342,000299: 11,3010           01551                                    TC                                    
052343,000300: 11,3011           16074                           STODL    TAU.                                  
052344,000301: 11,3012           01517                                    TET                                   
052345,000302: 11,3013           45425                           DSU      STADR                                 
052346,000303: 11,3014           42260                           STCALL   TET                                   
052347,000304: 11,3015           22404                                    KEPPREP                               
052348,000305: 11,3016           77624                           CALL                                           
052349,000306: 11,3017           27671                                    RECTIFY                               
052350,000307: 11,3020           77614                           SETGO                                          
052351,000308: 11,3021           04020                                    RPQFLAG                               
052352,000309: 11,3022           27256                                    TESTLOOP                              
052353,000310: 
052354,000311: 11,3023           77776        INT-ABRT           EXIT                                           
052355,000312: 11,3024           05653                           TC       POODOO                                
052356,000313: 11,3025           20430                           OCT      20430                                 
052357,000314: 

Page 1224

052359,000316:                                                                                                  #  THE OBLATE ROUTINE COMPUTES THE ACCELERATION DUE TO OBLATENESS. IT USES THE UNIT OF THE VEHICLE
052360,000317:                                                                                                  #  POSITION VECTOR FOUND IN ALPHAV AND THE DISTANCE TO THE CENTER IN ALPHAM. THIS IS ADDED TO THE SUM OF THE
052361,000318:                                                                                                  #  DISTURBING ACCELERATIONS IN FV AND THE PROPER DIFEQ STAGE IS CALLED VIA X1.
052362,000319: 11,3026           71354        OBLATE             LXA,2    DLOAD                                 
052363,000320: 11,3027           02030                                    PBODY                                 
052364,000321: 11,3030           02070                                    ALPHAM                                
052365,000322: 11,3031           44601                           SETPD    DSU*                                  
052366,000323: 11,3032           00001                                    0                                     
052367,000324: 11,3033           50032                                    RDE,2                                 
052368,000325: 11,3034           43044                           BPL      BOF                                   #  GET URPV
052369,000326: 11,3035           23264                                    NBRANCH                               
052370,000327: 11,3036           00343                                    MOONFLAG                              
052371,000328: 11,3037           23273                                    COSPHIE                               
052372,000329: 11,3040           65375                           VLOAD    PDDL                                  
052373,000330: 11,3041           02032                                    ALPHAV                                
052374,000331: 11,3042           01517                                    TET                                   
052375,000332: 11,3043           45125                           PDDL     CALL                                  
052376,000333: 11,3044           25756                                    3/5                                   
052377,000334: 11,3045           51642                                    R-TO-RP                               
052378,000335: 11,3046           24017                           STOVL    URPV                                  #  RP/R  B-1 IN PLANETARY COORDINATES
052379,000336: 11,3047           24001                                    ZUNIT                                 
052380,000337: 11,3050           45006                           PUSH     CALL                                  #  ZUNIT B-1 IN PLANETARY COORDL AT 00D
052381,000338: 11,3051           23301                                    MATRIX                                
052382,000339: 11,3052           77715                           PDVL                                           #  UZ    B-2 IN INERT COORD      AT 00D
052383,000340: 11,3053           24005                                    XUNIT                                 
052384,000341: 11,3054           45006                           PUSH     CALL                                  #  XUNIT B-1 IN PLANETARY COORD. AT 06D
052385,000342: 11,3055           23301                                    MATRIX                                
052386,000343: 11,3056           77772                           VSL1                                           
052387,000344: 11,3057           24041                           STOVL    32D                                   #  UX    B-1 IN INERT. COORD     AT 32D
052388,000345: 11,3060           77772                           VSL1                                           
052389,000346: 11,3061           14025        COMTERM            STODL    UZ                                    #  UZ  B-1 IN INERTIAL COORD        AT 20D
052390,000347: 11,3062           00023                                    COSPHI/2                              #   '      Z-COMPONENT OF URPV
052391,000348: 11,3063           65275                           DMPR     PDDL                                  #  P   B-6   ,  3COSPHI/64          AT 00D
052392,000349: 11,3064           25770                                    3/32                                  #   2
052393,000350: 11,3065           00023                                    COSPHI/2                              
052394,000351: 11,3066           57316                           DSQ      DMPR                                  
052395,000352: 11,3067           25772                                    15/16                                 #   '                       2
052396,000353: 11,3070           41425                           DSU      PUSH                                  #  P   B-5   ,(1/2)(15COSPHI -3)    AT 02D
052397,000354: 11,3071           25764                                    3/64                                  #   3
052398,000355: 11,3072           41275                           DMPR     DMP                                   
052399,000356: 11,3073           00023                                    COSPHI/2                              
052400,000357: 11,3074           11230                                    7/12                                  
052401,000358: 11,3075           65372                           SL1R     PDDL                                  
052402,000359: 11,3076           00001                                    0D                                    
052403,000360: 11,3077           44275                           DMPR     BDSU                                  
052404,000361: 11,3100           11236                                    2/3                                   #   '                     '    '
052405,000362: 11,3101           57206                           PUSH     DMPR                                  #  P   B-7,(1/3)(7COSPHI P  -4P )   AT 04D
052406,000363: 11,3102           00023                                    COSPHI/2                              #   4                     3    2
052407,000364: 11,3103           65275                           DMPR     PDDL                                  
052408,000365: 11,3104           11232                                    9/16                                  

Page 1225

052410,000367: 11,3105           00003                                    2D                                    #   '                      '    '
052411,000368: 11,3106           44275                           DMPR     BDSU                                  #  P   B-10,(1/4)(9COSPHI P  -5P )
052412,000369: 11,3107           11234                                    5/128                                 #   5                      4    3
052413,000370: 11,3110           56203                           DMP*     DDV                                   #                      '
052414,000371: 11,3111           51764                                    J4REQ/J3,2                            #      B- , (J RP/J R)P
052415,000372: 11,3112           02070                                    ALPHAM                                #             4    3   5
052416,000373: 11,3113           56615                           DAD      DMPR*                                 
052417,000374: 11,3114           00005                                    4D                                    #                2     2  '              '
052418,000375: 11,3115           51760                                    2J3RE/J2,2                            #      B  ,(2J RP /J2 R )P  +(2J RP/J2R)P
052419,000376: 11,3116           43271                           DDV      DAD                                   #             4           5     3        4
052420,000377: 11,3117           02070                                    ALPHAM                                #     -        2 '  2         '        '
052421,000378: 11,3120           00003                                    2D                                    #    (R/R)(J RP P /R + 2J RP P /  + J P )
052422,000379: 11,3121           77761                           VXSC                                           #           4    5       3    4  2   2 3
052423,000380: 11,3122           02032                                    ALPHAV                                #            4       2  '           -
052424,000381: 11,3123           14033                           STODL    TVEC                                  #      B-6,(SUM((J /R )P   (COSPHI))UR)
052425,000382: 11,3124           70403                           DMP*     SR1                                   #           I=2   I     I+1
052426,000383: 11,3125           51764                                    J4REQ/J3,2                            #                    '
052427,000384: 11,3126           43271                           DDV      DAD                                   #         (J RP/J R)P
052428,000385: 11,3127           02070                                    ALPHAM                                #           4    3   4
052429,000386: 11,3130           50473                           DMPR*    SR3                                   #              2    2  '              '
052430,000387: 11,3131           51760                                    2J3RE/J2,2                            #        (2J RP /J R )P  +(2J RP/J R)P
052431,000388: 11,3132           43271                           DDV      DAD                                   #           4     2    4     3    2   3
052432,000389: 11,3133           02070                                    ALPHAM                                
052433,000390: 11,3134           76561                           VXSC     VSL1                                  #            4   '        -
052434,000391: 11,3135           00025                                    UZ                                    #      B-6  SUM(P(COSPHI))UZ
052435,000392: 11,3136           77645                           BVSU                                           #           I=2  I
052436,000393: 11,3137           00033                                    TVEC                                  #    4              I-2   '          -
052437,000394: 11,3140           14033                           STODL    TVEC                                  #   SUM((MU J (RP/R)   )(P   (COSPHI)UR -
052438,000395: 11,3141           02070                                    ALPHAM                                #   I=2      I            I+2
052439,000396: 11,3142           63501                           NORM     DSQ                                   #               P (COSPHI)UZ))  B-6 AT 20D
052440,000397: 11,3143           00047                                    X1                                    #                I
052441,000398: 11,3144           60316                           DSQ      NORM                                  
052442,000399: 11,3145           00051                                    S1                                    #               4
052443,000400: 11,3146           54606                           PUSH     BDDV*                                 #  NORMALIZED  R                    AT 00D
052444,000401: 11,3147           51754                                    J2REQSQ,2                             
052445,000402: 11,3150           40161                           VXSC     BOV                                   
052446,000403: 11,3151           00033                                    TVEC                                  
052447,000404: 11,3152           23153                                    +1                                    #   B+38 FOR EARTH , B+42 FOR MOON
052448,000405: 11,3153           56070                           XAD,1    XAD,1                                 
052449,000406: 11,3154           00046                                    X1                                    
052450,000407: 11,3155           00046                                    X1                                    
052451,000408: 11,3156           53670                           XAD,1    VSL*                                  
052452,000409: 11,3157           00050                                    S1                                    
052453,000410: 11,3160           20153                                    0          -22D,1                     
052454,000411: 11,3161           40055                           VAD      BOV                                   
052455,000412: 11,3162           02062                                    FV                                    
052456,000413: 11,3163           23000                                    GOBAQUE                               
052457,000414: 11,3164           16062                           STODL    FV                                    #   B+16 FOR EARTH , B+20 FOR MOON
052458,000415: 11,3165           00017                                    URPV                                  #   B-1  X-COMPONENT OF POSITION  IN
052459,000416: 11,3166           41414                           BOF      PUSH                                  #             PLANETORY COORD.      AT 02D

Page 1226

052461,000418: 11,3167           00343                                    MOONFLAG                              
052462,000419: 11,3170           23264                                    NBRANCH                               #          2
052463,000420: 11,3171           65316                           DSQ      PDDL                                  #   B-2   X                         AT 04D
052464,000421: 11,3172           00021                                    URPV       +2                         #   B-1  Y-COMPONENT
052465,000422: 11,3173           45316                           DSQ      DSU                                   
052466,000423: 11,3174           74205                           DMP      VXSC                                  
052467,000424: 11,3175           27733                                    5/8                                   #           2  2 -
052468,000425: 11,3176           02032                                    ALPHAV                                #   B-6  5(Y -X )UR    2  2 -
052469,000426: 11,3177           65332                           VSL3     PDDL                                  #   B-3             5(Y -X )UR      AT 02D
052470,000427: 11,3200           53361                           VXSC     VAD                                   
052471,000428: 11,3201           00041                                    32D                                   #         2  2 -   2         -
052472,000429: 11,3202           47315                           PDVL     VXV                                   #     (5(Y.-X )UR/R ) +(2X/R)UX     AT 02D
052473,000430: 11,3203           00041                                    32D                                   #      B-1   UX
052474,000431: 11,3204           00025                                    UZ                                    #      B-2  -UY =(UX * UZ)
052475,000432: 11,3205           74372                           VSL1     VXSC                                  #      B-3   -(2Y/R)UY
052476,000433: 11,3206           00021                                    URPV       +2                         #              2  2 -   2        -
052477,000434: 11,3207           41455                           VAD      PUSH                                  #      B-3 (5(X -Y )UR/R )+(2X/R)UX -(
052478,000435: 11,3210           77745                           DLOAD                                          #               -
052479,000436: 11,3211           00023                                    COSPHI/2                              #          2Y/R)UY                  AT 02D
052480,000437: 11,3212           41516                           DSQ      PUSH                                  #      B-2 (Z.COMPONENT)            AT 08D
052481,000438: 11,3213           65205                           DMP      PDDL                                  #                   2
052482,000439: 11,3214           27733                                    5/8                                   #      B-5  5COSPHI/2               AT 08D
052483,000440: 11,3215           43302                           SR2      DAD                                   
052484,000441: 11,3216           00011                                    08D                                   
052485,000442: 11,3217           41221                           BDSU     DMP                                   #                       2
052486,000443: 11,3220           11015                                    D1/32                                 #      B-5  (1 - 7COSPHI )
052487,000444: 11,3221           00017                                    URPV                                  
052488,000445: 11,3222           74205                           DMP      VXSC                                  
052489,000446: 11,3223           27733                                    5/8                                   
052490,000447: 11,3224           02032                                    ALPHAV                                #                          2 -
052491,000448: 11,3225           65272                           VSL5     PDDL                                  #      B-5 (5X/R)(1-7COSPHI )UR     AT 08D
052492,000449: 11,3226           74225                           DSU      VXSC                                  
052493,000450: 11,3227           11015                                    D1/32                                 
052494,000451: 11,3230           00041                                    32D                                   
052495,000452: 11,3231           53372                           VSL1     VAD                                   #                          2 -           -
052496,000453: 11,3232           41325                           PDDL     DMP                                   #      B-5 (5X/R)(1-7COSPHI )UR +(5COSPHI
052497,000454: 11,3233           00017                                    URPV                                  #         -
052498,000455: 11,3234           00023                                    URPV       +4                         #      -1)UX                        AT 08D
052499,000456: 11,3235           74205                           DMP      VXSC                                  
052500,000457: 11,3236           27733                                    5/8                                   #      B-5   5X Y
052501,000458: 11,3237           00025                                    UZ                                    #              M M
052502,000459: 11,3240           53352                           VSL2     VAD                                   #                          2 -           2
052503,000460: 11,3241           60325                           PDDL     NORM                                  #      B-5 (5X/R)(1-7COSPHI )UR +(5COSPHI
052504,000461: 11,3242           02070                                    ALPHAM                                #         -          2 -
052505,000462: 11,3243           00050                                    X2                                    #      -1)UX +(10XZ/R )UZ           AT 08D
052506,000463: 11,3244           67206                           PUSH     SLOAD                                 
052507,000464: 11,3245           01351                                    E32C31RM                              
052508,000465: 11,3246           74271                           DDV      VXSC                                  
052509,000466: 11,3247           63257                           VSL*     PDVL                                  
052510,000467: 11,3250           57601                                    0          -3,2                       

Page 1227

052512,000469: 11,3251           67206                           PUSH     SLOAD                                 
052513,000470: 11,3252           01350                                    E3J22R2M                              
052514,000471: 11,3253           53361                           VXSC     VAD                                   
052515,000472: 11,3254           70257                           VSL*     V/SC                                  
052516,000473: 11,3255           20146                                    0          -27D,1                     #      B+16 OR B+20 (J   + C  )
052517,000474: 11,3256           40055                           VAD      BOV                                   #                     22    31
052518,000475: 11,3257           02062                                    FV                                    
052519,000476: 11,3260           23000                                    GOBAQUE                               
052520,000477: 11,3261           02062                           STORE    FV                                    
052521,000478: 11,3262           77754                           LXA,2                                          
052522,000479: 11,3263           02030                                    PBODY                                 
052523,000480: 11,3264           72135        NBRANCH            SLOAD    LXA,1                                 
052524,000481: 11,3265           01501                                    DIFEQCNT                              
052525,000482: 11,3266           00154                                    MPAC                                  
052526,000483: 11,3267           73205                           DMP      CGOTO                                 
052527,000484: 11,3270           27735                                    -1/12                                 
052528,000485: 11,3271           00155                                    MPAC                                  
052529,000486: 11,3272           23306                                    DIFEQTAB                              
052530,000487: 11,3273           77745        COSPHIE            DLOAD                                          
052531,000488: 11,3274           02036                                    ALPHAV     +4                         
052532,000489: 11,3275           24023                           STOVL    COSPHI/2                              
052533,000490: 11,3276           24001                                    ZUNIT                                 
052534,000491: 11,3277           77650                           GOTO                                           
052535,000492: 11,3300           23061                                    COMTERM                               
052536,000493: 11,3301           57435        MATRIX             VXV      VCOMP                                 
052537,000494: 11,3302           02013                                    504LM                                 #  ROUTINE TRANSLATES FROM PLANETARY
052538,000495: 11,3303           77655                           VAD                                            #  TO INERTIAL COORDINATES
052539,000496: 11,3304           43505                           VXM      RVQ                                   
052540,000497: 11,3305           00025                                    MMATRIX                               
052541,000498: 11,3306           23475        DIFEQTAB           CADR     DIFEQ+0                               
052542,000499: 11,3307           23501                           CADR     DIFEQ+1                               
052543,000500: 11,3310           23512                           CADR     DIFEQ+2                               
052544,000501: 11,3311           77214        TIMESTEP           BOF      VLOAD                                 
052545,000502: 11,3312           00342                                    MIDFLAG                               
052546,000503: 11,3313           23342                                    RECTEST                               
052547,000504: 11,3314           01535                                    RCV                                   
052548,000505: 11,3315           41241                           DOT      DMP                                   
052549,000506: 11,3316           01543                                    VCV                                   
052550,000507: 11,3317           02076                                    DT/2                                  #  (R.V) X (DELTA T)
052551,000508: 11,3320           77640                           BMN                                            
052552,000509: 11,3321           23342                                    RECTEST                               
052553,000510: 11,3322           43014                           BON      BOF                                   
052554,000511: 11,3323           00303                                    MOONFLAG                              
052555,000512: 11,3324           23417                                    LUNSPH                                
052556,000513: 11,3325           04340                                    RPQFLAG                               
052557,000514: 11,3326           23414                                    EARSPH                                
052558,000515: 11,3327           45145                           DLOAD    CALL                                  
052559,000516: 11,3330           01517                                    TET                                   
052560,000517: 11,3331           33660                                    LSPOS                                 #  RPQV IN MPAC
052561,000518: 11,3332           02105                           STORE    RPQV                                  #  RPQV

Page 1228

052563,000520: 11,3333           77754                           LXA,2                                          
052564,000521: 11,3334           02030                                    PBODY                                 
052565,000522: 11,3335           51445        INLUNCHK           BVSU     ABVAL                                 
052566,000523: 11,3336           01535                                    RCV                                   
052567,000524: 11,3337           50025                           DSU      BMN                                   
052568,000525: 11,3340           27741                                    RSPHERE                               
052569,000526: 11,3341           23434                                    DOSWITCH                              
052570,000527: 11,3342           51575        RECTEST            VLOAD    ABVAL                                 #  RECTIFY IF
052571,000528: 11,3343           01521                                    TDELTAV                               
052572,000529: 11,3344           77600                           BOV                                            
052573,000530: 11,3345           23370                                    CALLRECT                              
052574,000531: 11,3346           51025                           DSU      BPL                                   #      1) EITHER TDELTAV OR TNUV EQUALS OR
052575,000532: 11,3347           11226                                    3/4                                   #         EXCEEDS 3/4 IN MAGNITUDE
052576,000533: 11,3350           23370                                    CALLRECT                              
052577,000534: 11,3351           53615                           DAD      SL*                                   #                   OR
052578,000535: 11,3352           11226                                    3/4                                   
052579,000536: 11,3353           57605                                    0          -7,2                       #      2) ABVAL(TDELTAV) EQUALS OR EXCEEDS
052580,000537: 11,3354           45271                           DDV      DSU                                   #         .01(ABVAL(RCV))
052581,000538: 11,3355           00013                                    10D                                   
052582,000539: 11,3356           27737                                    RECRATIO                              
052583,000540: 11,3357           77244                           BPL      VLOAD                                 
052584,000541: 11,3360           23370                                    CALLRECT                              
052585,000542: 11,3361           01527                                    TNUV                                  
052586,000543: 11,3362           45246                           ABVAL    DSU                                   
052587,000544: 11,3363           11226                                    3/4                                   
052588,000545: 11,3364           77600                           BOV                                            
052589,000546: 11,3365           23370                                    CALLRECT                              
052590,000547: 11,3366           77640                           BMN                                            
052591,000548: 11,3367           23372                                    INTGRATE                              
052592,000549: 11,3370           77624        CALLRECT           CALL                                           
052593,000550: 11,3371           27671                                    RECTIFY                               
052594,000551: 11,3372           77775        INTGRATE           VLOAD                                          
052595,000552: 11,3373           01527                                    TNUV                                  
052596,000553: 11,3374           25134                           STOVL    ZV                                    
052597,000554: 11,3375           01521                                    TDELTAV                               
052598,000555: 11,3376           01126                           STORE    YV                                    
052599,000556: 11,3377           77614                           CLEAR                                          
052600,000557: 11,3400           00261                                    JSWITCH                               
052601,000558: 11,3401           66375        DIFEQ0             VLOAD    SSP                                   
052602,000559: 11,3402           01126                                    YV                                    
052603,000560: 11,3403           01501                                    DIFEQCNT                              
052604,000561: 11,3404           00000                                    0                                     
052605,000562: 11,3405           16032                           STODL    ALPHAV                                
052606,000563: 11,3406           24007                                    DPZERO                                
052607,000564: 11,3407           02100                           STORE    H                                     #  START H AT ZERO. GOES 0(DELT/2)DELT.
052608,000565: 11,3410           52014                           BON      GOTO                                  
052609,000566: 11,3411           00301                                    JSWITCH                               
052610,000567: 11,3412           23714                                    DOW..                                 
052611,000568: 11,3413           22524                                    ACCOMP                                
052612,000569: 11,3414           52175        EARSPH             VLOAD    GOTO                                  

Page 1229

052614,000571: 11,3415           02105                                    RPQV                                  
052615,000572: 11,3416           23335                                    INLUNCHK                              
052616,000573: 11,3417           60545        LUNSPH             DLOAD    SR2                                   
052617,000574: 11,3420           00013                                    10D                                   
052618,000575: 11,3421           50025                           DSU      BMN                                   
052619,000576: 11,3422           27741                                    RSPHERE                               
052620,000577: 11,3423           23342                                    RECTEST                               
052621,000578: 11,3424           71214                           BOF      DLOAD                                 
052622,000579: 11,3425           04340                                    RPQFLAG                               
052623,000580: 11,3426           23434                                    DOSWITCH                              
052624,000581: 11,3427           01517                                    TET                                   
052625,000582: 11,3430           77624                           CALL                                           
052626,000583: 11,3431           33660                                    LUNPOS                                
052627,000584: 11,3432           77676                           VCOMP                                          
052628,000585: 11,3433           02105                           STORE    RPQV                                  
052629,000586: 11,3434           77624        DOSWITCH           CALL                                           
052630,000587: 11,3435           23440                                    ORIGCHNG                              
052631,000588: 11,3436           77650                           GOTO                                           
052632,000589: 11,3437           23372                                    INTGRATE                              
052633,000590: 11,3440           45020        ORIGCHNG           STQ      CALL                                  
052634,000591: 11,3441           02112                                    ORIGEX                                
052635,000592: 11,3442           27671                                    RECTIFY                               
052636,000593: 11,3443           53775                           VLOAD    VSL*                                  
052637,000594: 11,3444           01535                                    RCV                                   
052638,000595: 11,3445           57576                                    0,2                                   
052639,000596: 11,3446           53651                           VSU      VSL*                                  
052640,000597: 11,3447           02105                                    RPQV                                  
052641,000598: 11,3450           57574                                    2,2                                   
052642,000599: 11,3451           01503                           STORE    RRECT                                 
052643,000600: 11,3452           01535                           STORE    RCV                                   
052644,000601: 11,3453           57414                           BOF      VCOMP                                 
052645,000602: 11,3454           00343                                    MOONFLAG                              
052646,000603: 11,3455           23456                                    +1                                    
052647,000604: 11,3456           53715                           PDVL     VSL*                                  
052648,000605: 11,3457           01543                                    VCV                                   
052649,000606: 11,3460           57576                                    0,2                                   
052650,000607: 11,3461           77651                           VSU                                            
052651,000608: 11,3462           77657                           VSL*                                           
052652,000609: 11,3463           57574                                    0          +2,2                       
052653,000610: 11,3464           01511                           STORE    VRECT                                 
052654,000611: 11,3465           01543                           STORE    VCV                                   
052655,000612: 11,3466           67154                           LXA,2    SXA,2                                 
052656,000613: 11,3467           02112                                    ORIGEX                                
052657,000614: 11,3470           00052                                    QPRET                                 
052658,000615: 11,3471           52014                           BON      GOTO                                  
052659,000616: 11,3472           00303                                    MOONFLAG                              
052660,000617: 11,3473           26710                                    CLRMOON                               
052661,000618: 11,3474           26715                                    SETMOON                               

Page 1230

052663,000620:                                                                                                  #  THE RECTIFY SUBROUTINE IS CALLED BY THE INTEGRATION PROGRAM AND OCCASIONALLY BY THE MEASUREMENT INCORPORATION
052664,000621:                                                                                                  #  ROUTINES TO ESTABLISH A NEW CONIC.
052665,000622: 
052666,000623: 13,3671                                           BANK     13                                    
052667,000624: 13,2000                                           SETLOC   ORBITAL2                              
052668,000625: 13,2000                                           BANK                                           
052669,000626: 
052670,000627: 13,3671           77354        RECTIFY            LXA,2    VLOAD                                 
052671,000628: 13,3672           02030                                    PBODY                                 
052672,000629: 13,3673           01521                                    TDELTAV                               
052673,000630: 13,3674           53257                           VSL*     VAD                                   
052674,000631: 13,3675           57605                                    0          -7,2                       
052675,000632: 13,3676           01535                                    RCV                                   
052676,000633: 13,3677           01503                           STORE    RRECT                                 
052677,000634: 13,3700           25535                           STOVL    RCV                                   
052678,000635: 13,3701           01527                                    TNUV                                  
052679,000636: 13,3702           53257                           VSL*     VAD                                   
052680,000637: 13,3703           57602                                    0          -4,2                       
052681,000638: 13,3704           01543                                    VCV                                   
052682,000639: 13,3705           01511        MINIRECT           STORE    VRECT                                 
052683,000640: 13,3706           25543                           STOVL    VCV                                   
052684,000641: 13,3707           24007                                    ZEROVEC                               
052685,000642: 13,3710           01521                           STORE    TDELTAV                               
052686,000643: 13,3711           15527                           STODL    TNUV                                  
052687,000644: 13,3712           24007                                    ZEROVEC                               
052688,000645: 13,3713           01551                           STORE    TC                                    
052689,000646: 13,3714           01553                           STORE    XKEP                                  
052690,000647: 13,3715           77616                           RVQ                                            
052691,000648: 11,3475                                           BANK     11                                    
052692,000649: 11,2000                                           SETLOC   ORBITAL                               
052693,000650: 11,2000                                           BANK                                           

Page 1231

052695,000652:                                                                                                  #  THE THREE DIFEQ ROUTINES - DIFEQ+0, DIFEQ+12, AND DIFEQ+24 - ARE ENTEREDTO PROCESS THE CONTRIBUTIONS AT THE
052696,000653:                                                                                                  #  BEGINNING, MIDDLE, AND END OF THE TIMESTEP, RESPECTIVELY. THE UPDATING IS DONE BY THE NYSTROM METHOD.
052697,000654: 11,3475           64575        DIFEQ+0            VLOAD    VSR3                                  
052698,000655: 11,3476           02062                                    FV                                    
052699,000656: 11,3477           36046                           STCALL   PHIV                                  
052700,000657: 11,3500           23655                                    DIFEQCOM                              
052701,000658: 11,3501           74575        DIFEQ+1            VLOAD    VSR1                                  
052702,000659: 11,3502           02062                                    FV                                    
052703,000660: 11,3503           53206                           PUSH     VAD                                   
052704,000661: 11,3504           02046                                    PHIV                                  
052705,000662: 11,3505           26054                           STOVL    PSIV                                  
052706,000663: 11,3506           53362                           VSR1     VAD                                   
052707,000664: 11,3507           02046                                    PHIV                                  
052708,000665: 11,3510           36046                           STCALL   PHIV                                  
052709,000666: 11,3511           23655                                    DIFEQCOM                              
052710,000667: 11,3512           57345        DIFEQ+2            DLOAD    DMPR                                  
052711,000668: 11,3513           02100                                    H                                     
052712,000669: 11,3514           11236                                    DP2/3                                 
052713,000670: 11,3515           74206                           PUSH     VXSC                                  
052714,000671: 11,3516           02046                                    PHIV                                  
052715,000672: 11,3517           53372                           VSL1     VAD                                   
052716,000673: 11,3520           01134                                    ZV                                    
052717,000674: 11,3521           53361                           VXSC     VAD                                   
052718,000675: 11,3522           02100                                    H                                     
052719,000676: 11,3523           01126                                    YV                                    
052720,000677: 11,3524           25126                           STOVL    YV                                    
052721,000678: 11,3525           02062                                    FV                                    
052722,000679: 11,3526           53322                           VSR3     VAD                                   
052723,000680: 11,3527           02054                                    PSIV                                  
052724,000681: 11,3530           76561                           VXSC     VSL1                                  
052725,000682: 11,3531           77655                           VAD                                            
052726,000683: 11,3532           01134                                    ZV                                    
052727,000684: 11,3533           01134                           STORE    ZV                                    
052728,000685: 11,3534           45014                           BOFF     CALL                                  
052729,000686: 11,3535           00341                                    JSWITCH                               
052730,000687: 11,3536           23606                                    ENDSTATE                              
052731,000688: 11,3537           11216                                    GRP2PC                                
052732,000689: 11,3540           77354                           LXA,2    VLOAD                                 
052733,000690: 11,3541           01116                                    COLREG                                
052734,000691: 11,3542           01134                                    ZV                                    
052735,000692: 11,3543           77732                           VSL3                                           #  ADJUST W-POSITION FOR STORAGE
052736,000693: 11,3544           12467                           STORE    W          +54D,2                     
052737,000694: 11,3545           77775                           VLOAD                                          
052738,000695: 11,3546           01126                                    YV                                    
052739,000696: 11,3547           40132                           VSL3     BOV                                   
052740,000697: 11,3550           23700                                    WMATEND                               
052741,000698: 11,3551           12401                           STORE    W,2                                   
052742,000699: 
052743,000700: 11,3552           77624                           CALL                                           
052744,000701: 11,3553           11216                                    GRP2PC                                

Page 1232

052746,000703: 11,3554           66354                           LXA,2    SSP                                   
052747,000704: 11,3555           01116                                    COLREG                                
052748,000705: 11,3556           00052                                    S2                                    
052749,000706: 11,3557           00000                                    0                                     
052750,000707: 11,3560           67114                           INCR,2   SXA,2                                 
052751,000708: 11,3561           00006                                    6                                     
052752,000709: 11,3562           01125                                    YV                                    
052753,000710: 11,3563           45104                           TIX,2    CALL                                  
052754,000711: 11,3564           23651                                    RELOADSV                              
052755,000712: 11,3565           11216                                    GRP2PC                                
052756,000713: 11,3566           67154                           LXA,2    SXA,2                                 
052757,000714: 11,3567           01125                                    YV                                    
052758,000715: 11,3570           01116                                    COLREG                                
052759,000716: 
052760,000717: 11,3571           77624        NEXTCOL            CALL                                           
052761,000718: 11,3572           11216                                    GRP2PC                                
052762,000719: 11,3573           76754                           LXA,2    VLOAD*                                
052763,000720: 11,3574           01116                                    COLREG                                
052764,000721: 11,3575           75376                                    W,2                                   
052765,000722: 11,3576           77722                           VSR3                                           #  ADJUST W-POSITION FOR INTEGRATION
052766,000723: 11,3577           01126                           STORE    YV                                    
052767,000724: 11,3600           76173                           VLOAD*   AXT,1                                 
052768,000725: 11,3601           75310                                    W          +54D,2                     
052769,000726: 11,3602           00000                                    0                                     
052770,000727: 11,3603           77722                           VSR3                                           #  ADJUST W-VELOCITY FOR INTEGRATION
052771,000728: 11,3604           35134                           STCALL   ZV                                    
052772,000729: 11,3605           23401                                    DIFEQ0                                
052773,000730: 
052774,000731: 11,3606           77200        ENDSTATE           BOV      VLOAD                                 
052775,000732: 11,3607           23000                                    GOBAQUE                               
052776,000733: 11,3610           01134                                    ZV                                    
052777,000734: 11,3611           25527                           STOVL    TNUV                                  
052778,000735: 11,3612           01126                                    YV                                    
052779,000736: 11,3613           01521                           STORE    TDELTAV                               
052780,000737: 11,3614           43014                           BON      BOFF                                  
052781,000738: 11,3615           04715                                    MIDAVFLG                              
052782,000739: 11,3616           27627                                    CKMID2                                #  CHECK FOR MID2 BEFORE GOING TO TIMEINC
052783,000740: 11,3617           01756                                    DIM0FLAG                              
052784,000741: 11,3620           27256                                    TESTLOOP                              
052785,000742: 11,3621           77776                           EXIT                                           
052786,000743: 11,3622           05364                           TC       PHASCHNG                              
052787,000744: 11,3623           04022                           OCT      04022                                 #  PHASE 1
052788,000745: 11,3624           05515                           TC       UPFLAG                                #  PHASE CHANGE HAS OCCURRED BETWEEN
052789,000746: 11,3625           00236                           ADRES    REINTFLG                              #  INTSTALL AND INTWAKE
052790,000747: 11,3626           06042                           TC       INTPRET                               
052791,000748: 11,3627           77731                           SSP                                            
052792,000749: 11,3630           00053                                    QPRET                                 
052793,000750: 11,3631           23636                                    AMOVED                                
052794,000751: 11,3632           52014                           BON      GOTO                                  
052795,000752: 11,3633           01714                                    VINTFLAG                              

Page 1233

052797,000754: 11,3634           26660                                    ATOPCSM                               
052798,000755: 11,3635           26733                                    ATOPLEM                               
052799,000756: 11,3636           66214        AMOVED             SET      SSP                                   
052800,000757: 11,3637           00061                                    JSWITCH                               
052801,000758: 11,3640           01117                                    COLREG                                
052802,000759: 11,3641           77741                           DEC      -30        B-14                       
052803,000760: 11,3642           66214                           BOFF     SSP                                   
052804,000761: 11,3643           01755                                    D6OR9FLG                              
052805,000762: 11,3644           23571                                    NEXTCOL                               
052806,000763: 11,3645           01117                                    COLREG                                
052807,000764: 11,3646           77717                           DEC      -48        B-14                       
052808,000765: 11,3647           77650                           GOTO                                           
052809,000766: 11,3650           23571                                    NEXTCOL                               
052810,000767: 
052811,000768: 
052812,000769: 11,3651           77745        RELOADSV           DLOAD                                          #  RELOAD TEMPORARY STATE VECTOR
052813,000770: 11,3652           01115                                    TDEC                                  #  FROM PERMANENT IN CASE OF
052814,000771: 11,3653           34041                           STCALL   TDEC1                                 
052815,000772: 11,3654           27140                                    INTEGRV2                              #  BY STARTING AT INTEGRV2.
052816,000773: 11,3655           43345        DIFEQCOM           DLOAD    DAD                                   #  INCREMENT H AND DIFEQCNT.
052817,000774: 11,3656           02076                                    DT/2                                  
052818,000775: 11,3657           02100                                    H                                     
052819,000776: 11,3660           66110                           INCR,1   SXA,1                                 
052820,000777: 11,3661           77763                           DEC      -12        B-14                       
052821,000778: 11,3662           01500                                    DIFEQCNT                              #  DIFEQCNT SET FOR NEXT ENTRY.
052822,000779: 11,3663           02100                           STORE    H                                     
052823,000780: 11,3664           74561                           VXSC     VSR1                                  
052824,000781: 11,3665           02062                                    FV                                    
052825,000782: 11,3666           74255                           VAD      VXSC                                  
052826,000783: 11,3667           01134                                    ZV                                    
052827,000784: 11,3670           02100                                    H                                     
052828,000785: 11,3671           77655                           VAD                                            
052829,000786: 11,3672           01126                                    YV                                    
052830,000787: 11,3673           02032                           STORE    ALPHAV                                
052831,000788: 11,3674           52014                           BON      GOTO                                  
052832,000789: 11,3675           00301                                    JSWITCH                               
052833,000790: 11,3676           23714                                    DOW..                                 
052834,000791: 11,3677           22504                                    FBR3                                  
052835,000792: 
052836,000793: 
052837,000794: 11,3700           43014        WMATEND            CLEAR    CLEAR                                 
052838,000795: 11,3701           01676                                    DIM0FLAG                              #  DONT INTEGRATE W THIS TIME
052839,000796: 11,3702           01671                                    ORBWFLAG                              #  INVALIDATE W
052840,000797: 11,3703           77614                           CLEAR                                          
052841,000798: 11,3704           02676                                    RENDWFLG                              
052842,000799: 11,3705           77414                           SET      EXIT                                  
052843,000800: 11,3706           01472                                    STATEFLG                              #  PICK UP STATE VECTOR UPDATE
052844,000801: 11,3707           05600                           TC       ALARM                                 
052845,000802: 11,3710           00421                           OCT      421                                   
052846,000803: 11,3711           06042                           TC       INTPRET                               

Page 1234

052848,000805: 11,3712           77650                           GOTO                                           
052849,000806: 11,3713           27256                                    TESTLOOP                              #  FINISH INTEGRATING STATE VECTOR
052850,000807: 

Page 1235

052852,000809:                                                                                                  #  ORBITAL ROUTINE FOR EXTRAPOLATION OF THE W MATRIX. IT COMPUTES THE SECOND DERIVATIVE OF EACH COLUMN POSITION
052853,000810:                                                                                                  #  VECTOR OF THE MATRIX AND CALLS THE NYSTROM INTEGRATION ROUTINES TO SOLVETHE DIFFERENTIAL EQUATIONS. THE PROGRAM
052854,000811:                                                                                                  #  USES A TABLE OF VEHICLE POSITION VECTORS COMPUTED DURING THE INTEGRATION OF THE VEHICLES POSITION AND VELOCITY.
052855,000812: 11,3714           70754        DOW..              LXA,2    DLOAD*                                
052856,000813: 11,3715           02030                                    PBODY                                 
052857,000814: 11,3716           51770                                    MUEARTH,2                             
052858,000815: 11,3717           36072                           STCALL   BETAM                                 
052859,000816: 11,3720           23742                                    DOW..1                                
052860,000817: 11,3721           02062                           STORE    FV                                    
052861,000818: 11,3722           62014                           BOF      INCR,1                                
052862,000819: 11,3723           00342                                    MIDFLAG                               
052863,000820: 11,3724           23264                                    NBRANCH                               
052864,000821: 11,3725           77771                           DEC      -6         B-14                       
052865,000822: 11,3726           70744                           LXC,2    DLOAD*                                
052866,000823: 11,3727           02030                                    PBODY                                 
052867,000824: 11,3730           51772                                    MUEARTH    -2,2                       
052868,000825: 11,3731           36072                           STCALL   BETAM                                 
052869,000826: 11,3732           23742                                    DOW..1                                
052870,000827: 11,3733           50414                           BON      VSR6                                  
052871,000828: 11,3734           00303                                    MOONFLAG                              
052872,000829: 11,3735           23736                                    +1                                    
052873,000830: 11,3736           77655                           VAD                                            
052874,000831: 11,3737           02062                                    FV                                    
052875,000832: 11,3740           36062                           STCALL   FV                                    
052876,000833: 11,3741           23264                                    NBRANCH                               
052877,000834: 11,3742           60575        DOW..1             VLOAD    VSR4                                  
052878,000835: 11,3743           02032                                    ALPHAV                                
052879,000836: 11,3744           53513                           PDVL*    UNIT                                  
052880,000837: 11,3745           02132                                    VECTAB,1                              
052881,000838: 11,3746           46315                           PDVL     VPROJ                                 
052882,000839: 11,3747           02032                                    ALPHAV                                
052883,000840: 11,3750           52361                           VXSC     VSU                                   
052884,000841: 11,3751           11226                                    3/4                                   
052885,000842: 11,3752           60325                           PDDL     NORM                                  
052886,000843: 11,3753           00045                                    36D                                   
052887,000844: 11,3754           00052                                    S2                                    
052888,000845: 11,3755           63406                           PUSH     DSQ                                   
052889,000846: 11,3756           77605                           DMP                                            
052890,000847: 11,3757           65301                           NORM     PDDL                                  
052891,000848: 11,3760           00043                                    34D                                   
052892,000849: 11,3761           02072                                    BETAM                                 
052893,000850: 11,3762           56342                           SR1      DDV                                   
052894,000851: 11,3763           77761                           VXSC                                           
052895,000852: 11,3764           57154                           LXA,2    XAD,2                                 
052896,000853: 11,3765           00051                                    S2                                    
052897,000854: 11,3766           00051                                    S2                                    
052898,000855: 11,3767           57074                           XAD,2    XAD,2                                 
052899,000856: 11,3770           00051                                    S2                                    
052900,000857: 11,3771           00042                                    34D                                   
052901,000858: 11,3772           43457                           VSL*     RVQ                                   

Page 1236

052903,000860: 11,3773           57606                                    0          -8D,2                      #  ****************************************
052904,000861: 12,2000                                           SETLOC   ORBITAL1                              
052905,000862: 12,2000                                           BANK                                           
052906,000863: 
052907,000864: 12,3755           04631 23146  3/5                2DEC     .6         B-2                        
052908,000865: 
052909,000866: 12,3757           14000 00000  THREE/8            2DEC     .375                                  
052910,000867: 
052911,000868: 12,3761           02314 31463  .3D                2DEC     .3         B-2                        
052912,000869: 
052913,000870: 12,3763           01400 00000  3/64               2DEC     3          B-6                        
052914,000871: 
052915,000872: 12,3765           10000 00000  DP1/4              2DEC     .25                                   
052916,000873: 
052917,000874: 12,3767  12,3765               DQUARTER           EQUALS   DP1/4                                 
052918,000875: 12,3767  12,3765               POS1/4             EQUALS   DP1/4                                 
052919,000876: 12,3767           03000 00000  3/32               2DEC     3          B-5                        
052920,000877: 
052921,000878: 12,3771           36000 00000  15/16              2DEC     15.        B-4                        
052922,000879: 
052923,000880: 05,3777                                           BANK     05                                    
052924,000881: 04,2000                                           SETLOC   ORBITAL3                              
052925,000882: 04,2000                                           BANK                                           
052926,000883: 
052927,000884: 04,3225           30000 00000  3/4                2DEC     3.0        B-2                        
052928,000885: 
052929,000886: 04,3227           22525 12525  7/12               2DEC     .5833333333                            
052930,000887: 
052931,000888: 04,3231           22000 00000  9/16               2DEC     9          B-4                        
052932,000889: 
052933,000890: 04,3233           01200 00000  5/128              2DEC     5          B-7                        
052934,000891: 
052935,000892: 04,3235  12,2006               DPZERO             EQUALS   ZEROVEC                               
052936,000893: 04,3235           25252 25253  DP2/3              2DEC     .6666666667                            
052937,000894: 
052938,000895: 04,3237  04,3235               2/3                EQUALS   DP2/3                                 
052939,000896: 04,3237           00027        OCT27              OCT      27                                    
052940,000897: 13,3716                                           BANK     13                                    
052941,000898: 13,2000                                           SETLOC   ORBITAL2                              
052942,000899: 13,2000                                           BANK                                           
052943,000900:                                                                                                  #  IT IS VITAL THAT THE FOLLOWING CONSTANTS NOT BE SHUFFLED
052944,000901: 13,3716           77764                           DEC      -11        B-14                       
052945,000902: 13,3717           77775                           DEC      -2         B-14                       
052946,000903: 13,3720           77766                           DEC      -9         B-14                       
052947,000904: 13,3721           77771                           DEC      -6         B-14                       
052948,000905: 13,3722           77775                           DEC      -2         B-14                       
052949,000906: 13,3723           77775                           DEC      -2         B-14                       
052950,000907: 13,3724           00000                           DEC      0          B-14                       
052951,000908: 13,3725           77763                           DEC      -12        B-14                       
052952,000909: 13,3726           77766                           DEC      -9         B-14                       

Page 1237

052954,000911: 13,3727           77773                           DEC      -4         B-14                       
052955,000912: 13,3730           77770        ASCALE             DEC      -7         B-14                       
052956,000913: 13,3731           77771                           DEC      -6         B-14                       
052957,000914: 13,3732           24000 00000  5/8                2DEC     5          B-3                        
052958,000915: 
052959,000916: 13,3734           74631 63145  -1/12              2DEC     -.1                                   
052960,000917: 
052961,000918: 13,3736           00243 32703  RECRATIO           2DEC     .01                                   
052962,000919: 
052963,000920: 13,3740           03654 21000  RSPHERE            2DEC     64373.76   E3         B-29            
052964,000921: 
052965,000922: 13,3742           03654 21000  RDM                2DEC     16093.44   E3         B-27            
052966,000923: 
052967,000924: 13,3744           04627 25200  RDE                2DEC     80467.20   E3         B-29            
052968,000925: 
052969,000926: 13,3746                        RATT               EQUALS   00                                    
052970,000927: 13,3746                        VATT               EQUALS   6D                                    
052971,000928: 13,3746                        TAT                EQUALS   12D                                   
052972,000929: 13,3746                        RATT1              EQUALS   14D                                   
052973,000930: 13,3746                        VATT1              EQUALS   20D                                   
052974,000931: 13,3746                        MU(P)              EQUALS   26D                                   
052975,000932: 13,3746                        TDEC1              EQUALS   32D                                   
052976,000933: 13,3746                        URPV               EQUALS   14D                                   
052977,000934: 13,3746     0022               COSPHI/2           EQUALS   URPV       +4                         
052978,000935: 13,3746                        UZ                 EQUALS   20D                                   
052979,000936: 13,3746                        TVEC               EQUALS   26D                                   

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