Table 6
Fundamental secular period and frequencies.
| k | Period | gk (num) | gk (ana) |
|
| yr | deg yr-1 | deg yr-1 | yr-1 | |
|
|
||||
| 1 | 1029.34 | 0.349739 | 0.358991 | −3.68 × 10-07 |
| 2 | 1453.39 | 0.247696 | 0.245229 | −3.40 × 10-09 |
| 3 | 3020.08 | 0.119202 | 0.118471 | −1.11 × 10-09 |
| 4 | 4339.70 | 0.082955 | 0.079644 | −1.43 × 10-10 |
| 5 | 13 509.96 | 0.026647 | 0.025290 | −5.16 × 10-12 |
| 6 | 61 517.43 | 0.005852 | 0.005581 | −3.93 × 10-15 |
| 7 | 473 061.76 | 0.000761 | 0.000663 | −8.14 × 10-17 |
Notes. The period and gk
(num) are computed numerically from the integrated solution of Table 7 through frequency analysis.
gk (ana) are the corresponding
frequencies computed from the Laplace-Lagrange linear approximation (Eq. (2)), and
is the value of the damping term in
the proper mode amplitudes resulting from the tidal dissipation of planet
b (
).
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