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