Open Access
Table A.2.
Coefficients of Chebyshev expansion ∑mcmTm approximating the major fundamental frequencies (g1, …, g8, s1, …, s8) (arcsec yr−1) of the solar system over the time interval from −35 Myr to 5 Myr with origin at J2000.
| m | cm | m | cm | ||
|---|---|---|---|---|---|
| g1 | 0 | 5.59436858 | s1 | 0 | −5.61412432 |
| 1 | −0.02916946 | 1 | 0.01897975 | ||
| 2 | 0.00259949 | 2 | 0.00616405 | ||
| 3 | −0.00858191 | 3 | −0.00967633 | ||
| 4 | −0.00538351 | 4 | −0.00048289 | ||
| 5 | −0.00216691 | 5 | −0.00405450 | ||
| 6 | −0.00311006 | 6 | −0.00319098 | ||
| 7 | 0.00137912 | 7 | 0.00116236 | ||
| 8 | −0.00225709 | 8 | −0.00048593 | ||
| 9 | 0.00318074 | 9 | 0.00207233 | ||
| 10 | 0.00431717 | 10 | 0.00194425 | ||
| 11 | −0.00288184 | 11 | −0.00103824 | ||
| 12 | −0.00189708 | 12 | −0.00117501 | ||
| 13 | 0.00127879 | 13 | 0.00006311 | ||
| 14 | 0.00065723 | 14 | 0.00030964 | ||
| 15 | −0.00017362 | 15 | −0.00037496 | ||
| g2 | 0 | 7.45660678 | s2 | 0 | −7.07313208 |
| 1 | −0.00276205 | 1 | 0.04218433 | ||
| 2 | 0.00177713 | 2 | −0.00001315 | ||
| 3 | 0.00056064 | 3 | −0.00225169 | ||
| 4 | −0.00002096 | 4 | 0.00386256 | ||
| 5 | 0.00090782 | 5 | −0.00280878 | ||
| 6 | 0.00096229 | 6 | 0.00247914 | ||
| 7 | −0.00024908 | 7 | 0.00109449 | ||
| 8 | 0.00042855 | 8 | −0.00064733 | ||
| 9 | −0.00071228 | 9 | 0.00229722 | ||
| 10 | −0.00091971 | 10 | −0.00000725 | ||
| 11 | 0.00061668 | 11 | −0.00193901 | ||
| 12 | 0.00047006 | 12 | 0.00088350 | ||
| 13 | −0.00024111 | 13 | 0.00053257 | ||
| 14 | −0.00015053 | 14 | 0.00024897 | ||
| 15 | 0.00007778 | 15 | 0.00024128 | ||
| g3 | 0 | 17.36445990 | s3 | 0 | −18.84810087 |
| 1 | 0.01585020 | 1 | −0.00165582 | ||
| 2 | −0.00496995 | 2 | 0.00007105 | ||
| 3 | 0.00540088 | 3 | −0.00140634 | ||
| 4 | 0.00496032 | 4 | 0.00050744 | ||
| 5 | −0.00226103 | 5 | 0.00039039 | ||
| 6 | −0.00004476 | 6 | 0.00135948 | ||
| 7 | 0.00006943 | 7 | 0.00065306 | ||
| 8 | 0.00007190 | 8 | −0.00041702 | ||
| 9 | −0.00037475 | 9 | −0.00026792 | ||
| 10 | −0.00059252 | 10 | −0.00018687 | ||
| 11 | 0.00025574 | 11 | 0.00004492 | ||
| 12 | 0.00035119 | 12 | 0.00013288 | ||
| 13 | −0.00020600 | 13 | 0.00001794 | ||
| 14 | −0.00000042 | 14 | −0.00005746 | ||
| 15 | 0.00011279 | ||||
| g4 | 0 | 17.91086281 | s4 | 0 | −17.75496646 |
| 1 | 0.02044603 | 1 | 0.00670633 | ||
| 2 | −0.00851446 | 2 | −0.00717162 | ||
| 3 | 0.00812180 | 3 | 0.00313019 | ||
| 4 | 0.00866961 | 4 | 0.00807398 | ||
| 5 | −0.00482118 | 5 | −0.00498282 | ||
| 6 | −0.00137335 | 6 | −0.00116638 | ||
| 7 | 0.00011721 | 7 | 0.00058378 | ||
| 8 | 0.00083465 | 8 | 0.00021726 | ||
| 9 | −0.00041179 | 9 | 0.00016650 | ||
| 10 | −0.00109334 | 10 | −0.00060643 | ||
| 11 | 0.00069484 | 11 | 0.00014173 | ||
| 12 | 0.00045529 | 12 | 0.00039520 | ||
| 13 | −0.00029042 | 13 | −0.00024600 | ||
| 14 | −0.00014170 | 14 | −0.00006598 | ||
| 15 | 0.00008189 | 15 | 0.00012665 | ||
| g5 | 0 | 4.25745185 | s5 | 0 | 0.00000015 |
| g6 | 0 | 28.24498422 | s6 | 0 | −26.34785292 |
| 1 | 0.00010582 | 1 | 0.00000053 | ||
| 2 | 0.00011695 | 2 | −0.00000514 | ||
| 3 | −0.00002698 | ||||
| 4 | −0.00001157 | ||||
| g7 | 0 | 3.08795246 | s7 | 0 | −2.99252583 |
| 1 | −0.00000017 | ||||
| g8 | 0 | 0.67302182 | s8 | 0 | −0.69173649 |
| 1 | 0.00000001 | ||||
| r1 | 0 | 0.251085 | r2 | 0 | 0.117222 |
Notes. Also listed are the used constant libration frequencies r1 and r2 (arcsec yr−1).
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