VSOP87 Theory A, B, C, D and E Series Terms Data
Summaries for the Planets Mercury to Neptune
VSOP87 Theory A, B, C, D and E Series Summaries for the Planet Mercury
MERCURY - VSOP87 SERIES A - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 1449
X1 792
X2 299
X3 54
X4 15
X5 10
X total = 2619 terms
Y0 1438
Y1 782
Y2 299
Y3 59
Y4 15
Y5 10
Y total = 2603 terms
Z0 598
Z1 351
Z2 143
Z3 28
Z4 10
Z5 7
Z total = 1137 terms
Total Terms Count = 6359
MERCURY - VSOP87 SERIES B - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
L0 1583
L1 931
L2 438
L3 162
L4 23
L5 12
L total = 3149 terms
B0 818
B1 492
B2 231
B3 39
B4 13
B5 10
B total = 1603 terms
R0 1209
R1 706
R2 318
R3 111
R4 17
R5 10
R total = 2371 terms
Total Terms Count = 7123
MERCURY - VSOP87 SERIES C - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
X0 1853
X1 1023
X2 413
X3 135
X4 42
X5 16
X total = 3482 terms
Y0 1853
Y1 1023
Y2 413
Y3 135
Y4 42
Y5 16
Y total = 3482 terms
Z0 598
Z1 360
Z2 167
Z3 47
Z4 12
Z5 7
Z total = 1191 terms
Total Terms Count = 8155
MERCURY - VSOP87 SERIES D - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
L0 1380
L1 839
L2 395
L3 153
L4 28
L5 13
L total = 2808 terms
B0 818
B1 494
B2 230
B3 53
B4 15
B5 10
B total = 1620 terms
R0 1215
R1 711
R2 326
R3 119
R4 18
R5 10
R total = 2399 terms
Total Terms Count = 6827
MERCURY - VSOP87 SERIES E - RECTANGULAR (XYZ) COORDINATES
BARYCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 1553
X1 948
X2 473
X3 187
X4 95
X5 43
X total = 3299 terms
Y0 1553
Y1 946
Y2 478
Y3 186
Y4 98
Y5 43
Y total = 3304 terms
Z0 625
Z1 363
Z2 178
Z3 63
Z4 34
Z5 14
Z total = 1277 terms
Total Terms Count = 7880
VSOP87 Theory A, B, C, D and E Series Summaries for the Planet Venus
VENUS - VSOP87 SERIES A - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 548
X1 338
X2 99
X3 5
X4 4
X5 3
X total = 997 terms
Y0 565
Y1 325
Y2 99
Y3 5
Y4 4
Y5 3
Y total = 1001 terms
Z0 190
Z1 108
Z2 45
Z3 10
Z4 3
Z5 3
Z total = 359 terms
Total Terms Count = 2357
VENUS - VSOP87 SERIES B - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
L0 416
L1 235
L2 72
L3 7
L4 4
L5 2
L total = 736 terms
B0 210
B1 121
B2 51
B3 12
B4 4
B5 4
B total = 402 terms
R0 323
R1 174
R2 62
R3 8
R4 3
R5 2
R total = 572 terms
Total Terms Count = 1710
VENUS - VSOP87 SERIES C - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
X0 685
X1 406
X2 133
X3 25
X4 12
X5 4
X total = 1265 terms
Y0 685
Y1 406
Y2 133
Y3 25
Y4 12
Y5 4
Y total = 1265 terms
Z0 190
Z1 117
Z2 49
Z3 12
Z4 3
Z5 3
Z total = 374 terms
Total Terms Count = 2904
VENUS - VSOP87 SERIES D - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
L0 367
L1 215
L2 70
L3 9
L4 5
L5 5
L total = 671 terms
B0 210
B1 133
B2 59
B3 15
B4 5
B5 4
B total = 426 terms
R0 330
R1 180
R2 63
R3 7
R4 3
R5 2
R total = 585 terms
Total Terms Count = 1682
VENUS - VSOP87 SERIES E - RECTANGULAR (XYZ) COORDINATES
BARYCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 956
X1 583
X2 266
X3 106
X4 61
X5 32
X total = 2004 terms
Y0 972
Y1 574
Y2 264
Y3 106
Y4 59
Y5 31
Y total = 2006 terms
Z0 288
Z1 186
Z2 100
Z3 42
Z4 20
Z5 11
Z total = 647 terms
Total Terms Count = 4657
VSOP87 Theory A, B, C, D and E Series Summaries for the Planet Earth
EARTH - VSOP87 SERIES A - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 843
X1 491
X2 204
X3 18
X4 15
X5 6
X total = 1577 terms
Y0 854
Y1 496
Y2 202
Y3 17
Y4 15
Y5 6
Y total = 1590 terms
Z0 178
Z1 120
Z2 53
Z3 12
Z4 6
Z5 2
Z total = 371 terms
Total Terms Count = 3538
EARTH - VSOP87 SERIES B - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
L0 623
L1 379
L2 144
L3 23
L4 11
L5 4
L total = 1184 terms
B0 184
B1 134
B2 62
B3 14
B4 6
B5 2
B total = 402 terms
R0 523
R1 290
R2 134
R3 20
R4 9
R5 2
R total = 978 terms
Total Terms Count = 2564
EARTH - VSOP87 SERIES C - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
X0 1007
X1 600
X2 248
X3 46
X4 20
X5 7
X total = 1928 terms
Y0 1007
Y1 600
Y2 248
Y3 46
Y4 20
Y5 7
Y total = 1928 terms
Z0 178
Z1 97
Z2 47
Z3 11
Z4 5
Z5 1
Z total = 339 terms
Total Terms Count = 4195
EARTH - VSOP87 SERIES D - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
L0 559
L1 341
L2 142
L3 22
L4 11
L5 5
L total = 1080 terms
B0 184
B1 99
B2 49
B3 11
B4 5
B5 1
B total = 349 terms
R0 526
R1 292
R2 139
R3 27
R4 10
R5 3
R total = 997 terms
Total Terms Count = 2426
EARTH - VSOP87 SERIES E - RECTANGULAR (XYZ) COORDINATES
BARYCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 1199
X1 698
X2 349
X3 112
X4 67
X5 29
X total = 2454 terms
Y0 1212
Y1 710
Y2 345
Y3 111
Y4 68
Y5 29
Y total = 2475 terms
Z0 275
Z1 186
Z2 96
Z3 40
Z4 22
Z5 8
Z total = 627 terms
Total Terms Count = 5556
VSOP87 Theory A, B, C, D and E Series Summaries for the Planet Mars
MARS - VSOP87 SERIES A - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 1584
X1 956
X2 387
X3 135
X4 41
X5 21
X total = 3124 terms
Y0 1612
Y1 969
Y2 384
Y3 136
Y4 44
Y5 21
Y total = 3166 terms
Z0 355
Z1 232
Z2 122
Z3 51
Z4 16
Z5 7
Z total = 783 terms
Total Terms Count = 7073
MARS - VSOP87 SERIES B - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
L0 1409
L1 891
L2 442
L3 194
L4 75
L5 24
L total = 3035 terms
B0 441
B1 291
B2 161
B3 64
B4 18
B5 9
B total = 984 terms
R0 1107
R1 672
R2 368
R3 160
R4 57
R5 17
R total = 2381 terms
Total Terms Count = 6400
MARS - VSOP87 SERIES C - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
X0 1907
X1 1023
X2 511
X3 192
X4 81
X5 26
X total = 3740 terms
Y0 1907
Y1 1023
Y2 511
Y3 192
Y4 81
Y5 26
Y total = 3740 terms
Z0 355
Z1 252
Z2 133
Z3 56
Z4 20
Z5 7
Z total = 823 terms
Total Terms Count = 8303
MARS - VSOP87 SERIES D - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
L0 1217
L1 686
L2 310
L3 129
L4 36
L5 15
L total = 2393 terms
B0 441
B1 287
B2 130
B3 41
B4 11
B5 5
B total = 915 terms
R0 1118
R1 596
R2 313
R3 111
R4 28
R5 9
R total = 2175 terms
Total Terms Count = 5483
MARS - VSOP87 SERIES E - RECTANGULAR (XYZ) COORDINATES
BARYCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 1572
X1 966
X2 446
X3 205
X4 74
X5 38
X total = 3301 terms
Y0 1590
Y1 993
Y2 444
Y3 203
Y4 75
Y5 38
Y total = 3343 terms
Z0 404
Z1 273
Z2 147
Z3 70
Z4 27
Z5 10
Z total = 931 terms
Total Terms Count = 7575
VSOP87 Theory A, B, C, D and E Series Summaries for the Planet Jupiter
JUPITER - VSOP87 SERIES A - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 1055
X1 488
X2 255
X3 140
X4 58
X5 11
X total = 2007 terms
Y0 1037
Y1 499
Y2 259
Y3 136
Y4 60
Y5 11
Y total = 2002 terms
Z0 216
Z1 104
Z2 65
Z3 27
Z4 10
Z5 3
Z total = 425 terms
Total Terms Count = 4434
JUPITER - VSOP87 SERIES B - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
L0 860
L1 426
L2 225
L3 120
L4 48
L5 11
L total = 1690 terms
B0 249
B1 120
B2 82
B3 33
B4 13
B5 3
B total = 500 terms
R0 727
R1 371
R2 186
R3 97
R4 45
R5 9
R total = 1435 terms
Total Terms Count = 3625
JUPITER - VSOP87 SERIES C - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
X0 1272
X1 638
X2 358
X3 190
X4 73
X5 15
X total = 2546 terms
Y0 1272
Y1 638
Y2 358
Y3 190
Y4 73
Y5 15
Y total = 2546 terms
Z0 216
Z1 124
Z2 68
Z3 39
Z4 11
Z5 5
Z total = 463 terms
Total Terms Count = 5555
JUPITER - VSOP87 SERIES D - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
L0 760
L1 369
L2 191
L3 109
L4 45
L5 10
L total = 1484 terms
B0 249
B1 141
B2 81
B3 42
B4 12
B5 5
B total = 530 terms
R0 745
R1 381
R2 190
R3 98
R4 46
R5 9
R total = 1469 terms
Total Terms Count = 3483
JUPITER - VSOP87 SERIES E - RECTANGULAR (XYZ) COORDINATES
BARYCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 1083
X1 499
X2 258
X3 140
X4 59
X5 11
X total = 2050 terms
Y0 1064
Y1 510
Y2 262
Y3 136
Y4 61
Y5 11
Y total = 2044 terms
Z0 229
Z1 110
Z2 66
Z3 30
Z4 10
Z5 3
Z total = 448 terms
Total Terms Count = 4542
VSOP87 Theory A, B, C, D and E Series Summaries for the Planet Saturn
SATURN - VSOP87 SERIES A - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 1652
X1 892
X2 481
X3 215
X4 87
X5 31
X total = 3358 terms
Y0 1658
Y1 917
Y2 465
Y3 201
Y4 88
Y5 32
Y total = 3361 terms
Z0 420
Z1 217
Z2 87
Z3 44
Z4 19
Z5 6
Z total = 793 terms
Total Terms Count = 7512
SATURN - VSOP87 SERIES B - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
L0 1437
L1 817
L2 438
L3 192
L4 85
L5 30
L total = 2999 terms
B0 500
B1 247
B2 111
B3 54
B4 24
B5 11
B total = 947 terms
R0 1208
R1 627
R2 338
R3 154
R4 65
R5 27
R total = 2419 terms
Total Terms Count = 6365
SATURN - VSOP87 SERIES C - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
X0 2047
X1 1023
X2 511
X3 250
X4 110
X5 40
X total = 3981 terms
Y0 2047
Y1 1023
Y2 511
Y3 250
Y4 110
Y5 40
Y total = 3981 terms
Z0 420
Z1 234
Z2 91
Z3 45
Z4 22
Z5 9
Z total = 821 terms
Total Terms Count = 8783
SATURN - VSOP87 SERIES D - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
L0 1152
L1 642
L2 321
L3 148
L4 68
L5 27
L total = 2358 terms
B0 500
B1 260
B2 111
B3 58
B4 26
B5 11
B total = 966 terms
R0 1205
R1 639
R2 342
R3 157
R4 64
R5 28
R total = 2435 terms
Total Terms Count = 5759
SATURN - VSOP87 SERIES E - RECTANGULAR (XYZ) COORDINATES
BARYCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 1651
X1 896
X2 481
X3 214
X4 87
X5 31
X total = 3360 terms
Y0 1657
Y1 921
Y2 464
Y3 200
Y4 89
Y5 32
Y total = 3363 terms
Z0 424
Z1 218
Z2 87
Z3 45
Z4 19
Z5 6
Z total = 799 terms
Total Terms Count = 7522
VSOP87 Theory A, B, C, D and E Series Summaries for the Planet Uranus
URANUS - VSOP87 SERIES A - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 1464
X1 649
X2 249
X3 84
X4 12
X5 1
X total = 2459 terms
Y0 1447
Y1 659
Y2 255
Y3 80
Y4 12
Y5 1
Y total = 2454 terms
Z0 235
Z1 98
Z2 33
Z3 12
Z4 1
Z5 1
Z total = 380 terms
Total Terms Count = 5293
URANUS - VSOP87 SERIES B - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
L0 1441
L1 655
L2 259
L3 69
L4 8
L5 1
L total = 2433 terms
B0 311
B1 130
B2 39
B3 15
B4 1
B5 1
B total = 497 terms
R0 1387
R1 625
R2 249
R3 69
R4 12
R5 1
R total = 2343 terms
Total Terms Count = 5273
URANUS - VSOP87 SERIES C - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
X0 1926
X1 856
X2 341
X3 106
X4 23
X5 2
X total = 3254 terms
Y0 1926
Y1 856
Y2 341
Y3 106
Y4 23
Y5 2
Y total = 3254 terms
Z0 235
Z1 159
Z2 65
Z3 18
Z4 6
Z5 1
Z total = 484 terms
Total Terms Count = 6992
URANUS - VSOP87 SERIES D - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
L0 947
L1 426
L2 151
L3 46
L4 7
L5 1
L total = 1578 terms
B0 283
B1 154
B2 60
B3 16
B4 2
B5 1
B total = 516 terms
R0 1124
R1 514
R2 192
R3 55
R4 11
R5 1
R total = 1897 terms
Total Terms Count = 3991
URANUS - VSOP87 SERIES E - RECTANGULAR (XYZ) COORDINATES
BARYCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 1432
X1 628
X2 234
X3 79
X4 10
X5 1
X total = 2384 terms
Y0 1411
Y1 634
Y2 238
Y3 75
Y4 10
Y5 1
Y total = 2369 terms
Z0 232
Z1 97
Z2 33
Z3 12
Z4 1
Z5 1
Z total = 376 terms
Total Terms Count = 5129
VSOP87 Theory A, B, C, D and E Series Summaries for the Planet Neptune
NEPTUNE - VSOP87 SERIES A - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
X0 772
X1 330
X2 102
X3 33
X4 7
X5 1
X total = 1245 terms
Y0 746
Y1 325
Y2 97
Y3 34
Y4 7
Y5 1
Y total = 1210 terms
Z0 133
Z1 37
Z2 11
Z3 2
Z4 1
Z5 1
Z total = 185 terms
Total Terms Count = 2640
NEPTUNE - VSOP87 SERIES B - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
L0 539
L1 224
L2 59
L3 18
L4 1
L5 1
L total = 842 terms
B0 172
B1 49
B2 13
B3 2
B4 1
B5 1
B total = 238 terms
R0 596
R1 251
R2 71
R3 23
R4 7
R5 1
R total = 949 terms
Total Terms Count = 2029
NEPTUNE - VSOP87 SERIES C - RECTANGULAR (XYZ) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
X0 821
X1 342
X2 113
X3 37
X4 14
X5 1
X total = 1328 terms
Y0 821
Y1 342
Y2 113
Y3 37
Y4 14
Y5 1
Y total = 1328 terms
Z0 133
Z1 61
Z2 20
Z3 8
Z4 1
Z5 1
Z total = 224 terms
Total Terms Count = 2880
NEPTUNE - VSOP87 SERIES D - SPHERICAL (LBR) COORDINATES
HELIOCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX OF THE DATE
Var Terms
L0 423
L1 183
L2 57
L3 15
L4 2
L5 1
L total = 681 terms
B0 172
B1 82
B2 25
B3 9
B4 1
B5 1
B total = 290 terms
R0 607
R1 250
R2 72
R3 22
R4 7
R5 1
R total = 959 terms
Total Terms Count = 1930
NEPTUNE - VSOP87 SERIES E - RECTANGULAR (XYZ) COORDINATES
BARYCENTRIC DYNAMICAL ECLIPTIC AND EQUINOX J2000
Var Terms
X0 720
X1 291
X2 83
X3 27
X4 5
X5 1
X total = 1127 terms
Y0 693
Y1 287
Y2 79
Y3 28
Y4 5
Y5 1
Y total = 1093 terms
Z0 126
Z1 33
Z2 10
Z3 2
Z4 1
Z5 1
Z total = 173 terms
Total Terms Count = 2393
© Jay Tanner - PHP Science Labs - 2011
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