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Table 7

Number of terms of the solutions VSOP2013 and TOP2013 for several levels of truncation.

Planet Complete 10-14 10-12 10-10 10-8
solution

Mercury 272 360 138 226 21 399 3625 533
Venus 289 647 225 161 33 674 5135 704
EMB 294 426 281 337 51 498 7505 984
Mars 309 140 309 107 118 169 15 136 1880
Jupiter 324 596 323 738 104 894 15 889 2348
37 918 37 418 31 233 13 763 2103
Saturn 350 513 350 167 190 036 31 382 4368
62 124 56 365 49 801 26 832 4071
Uranus 330 581 330 100 211 837 36 997 5045
81 272 71 563 61 560 35 515 5890
Neptune 322 572 318 401 113 009 18 793 2712
41 026 40 475 34 441 16 647 2993
Pluto 114 088 114 088 92 500 51 886 11 421

Notes. Units used for the levels of truncation are in: au for the semi-major axis, rad for the mean longitude, and without dimension for k, h, q, p. For Jupiter, Saturn, Uranus and Neptune, the first line corresponds to VSOP2013, the second line corresponds to TOP2013.

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