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Table 2

Largest terms of Saturn’s inclination series 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 g5g6 + s7 − 26.97744 5889 43.05
6 2g6s6 82.77163 3417 128.95
7 g5 + g6s6 58.80017 2003 212.90
8 2g5s6 34.82788 1583 294.12
9 s1 − 5.61755 1373 168.70
10 s4 − 17.74818 1269 123.28

Notes. Adapted from Laskar (1990). Each frequency νk is a combination of the fundamental frequencies si and gi of the planets of the Solar System. See Appendix A of Saillenfest et al. (2021b) for the full quasi-periodic decomposition with amplitudes down to 10−8.

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