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Table 3:

Quasi-periodic decomposition of the resonant angle $\theta = \lambda _b - 3 \lambda _c + 2 \omega _b$ for the orbital solution  ${\cal S}_1$ (Table 1).
Combination $\nu_i$ Ai $\phi_i$
nb nc g1 g2 $l_\theta$ (deg/yr) (deg) (deg)
0 0 -1 1 0 0.4674 63.652 -81.114
0 0 0 0 1 9.0158 38.138 168.018
0 0 1 -1 1 8.5484 35.869 159.131
0 0 2 -2 1 8.0811 25.845 -29.755
0 0 3 -3 1 7.6137 16.868 141.358
0 0 4 -4 1 7.1464 10.622 -47.528
0 0 5 -5 1 6.6790 6.325 123.585
0 0 6 -6 1 6.2116 3.509 -65.301
0 0 -2 2 0 0.9347 2.697 107.773
0 0 -1 1 1 9.4832 2.366 176.904
0 0 7 -7 1 5.7443 1.872 105.812
0 0 3 -3 2 16.6295 1.156 39.376
0 0 2 -2 2 17.0969 0.874 -131.738
0 0 -2 2 1 9.9505 0.874 5.791
0 0 0 0 2 18.0316 0.828 66.035
0 0 8 -8 1 5.2769 0.964 -83.074
0 0 4 -4 2 16.1622 0.805 -149.510
0 0 1 -1 2 17.5642 0.499 -122.851
0 0 -3 3 1 10.4179 0.517 -165.323
0 0 -3 3 0 1.4021 0.433 -63.341
0 0 9 -9 1 4.8096 0.482 88.040
1 -1 0 0 0 436.0820 0.395 -173.181
We have $\theta(t) = 180+\sum_{i=1}^N A_i \cos(\nu_i~ t + \phi_i)$. All terms are identified as integer combinations of the fundamental frequencies given in Table 2, which is the signature of a regular motion.

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