Table 1
First twenty terms of Saturn’s inclination and longitude of ascending node in the J2000 ecliptic and equinox reference frame.
| k | Identification(*) |  |
Sk × 108 |  |
|---|---|---|---|---|
| 1 | s5 | 0.00000 | 1 377 395 | 107.59 |
| 2 | s6 | −26.33023 | 785 009 | 127.29 |
| 3 | s8 | −0.69189 | 55 969 | 23.96 |
| 4 | s7 | −3.00557 | 39 101 | 140.33 |
| 5 | g5 − g6 + s7 | −26.97744 | 5889 | 43.05 |
| 6 | 2g6 − s6 | 82.77163 | 3417 | 128.95 |
| 7 | g5 + g6 − s6 | 58.80017 | 2003 | 212.90 |
| 8 | 2g5 − s6 | 34.82788 | 1583 | 294.12 |
| 9 | s1 | −5.61755 | 1373 | 168.70 |
| 10 | s4 | −17.74818 | 1269 | 123.28 |
| 11 | − g5 + g7 + s6 | −27.48935 | 1014 | 218.53 |
| 12 | g5 − g7 + s6 | −25.17116 | 958 | 215.94 |
| 13 | g5 − g6 + s6 | −50.30212 | 943 | 209.84 |
| 14 | g5 − g7 + s7 | −1.84625 | 943 | 35.32 |
| 15 | − g5 + g6 + s6 | −2.35835 | 825 | 225.04 |
| 16 | − g5 + g7 + s7 | −4.16482 | 756 | 51.51 |
| 17 | s2 | −47.07963 | 668 | 273.79 |
| 18 | − g6 + g7 + s7 | −28.13656 | 637 | 314.07 |
| 19 | g7 − g8 + s7 | −0.58033 | 544 | 17.32 |
| 20 | s1 + γ | −5.50098 | 490 | 162.89 |
Notes. Due to the secular resonance (g1 − g5) − (s1 − s2), an additional fundamental frequency γ appears in term 20 (see Laskar 1990). (*)There are typographical errors in Laskar (1990) in the identification of the 14th and 16th terms.
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