Table 2
Quasi-periodic decomposition of the orbital forcing function x for the outer planet in the KOI-1599 system (Eq. (8)).
| k ⋅ν | νk∕n − 1 | |xk| |  |
||
|---|---|---|---|---|---|
| n | υ | g | |||
| 2 | 0 | 0 | 0.000000 | 0.93142 | 173.21 |
| 2 | 1 | 0 | 0.003316 | 0.25878 | 79.54 |
| 2 | − 1 | 0 | − 0.003316 | 0.24821 | 86.87 |
| 2 | − 2 | 0 | − 0.006632 | 0.04461 | 0.54 |
| 3 | − 1 | − 1 | 0.498128 | 0.04138 | 150.57 |
| 3 | 0 | − 1 | 0.501445 | 0.03730 | − 123.10 |
| 2 | 2 | 0 | 0.006632 | 0.02197 | − 14.13 |
| 3 | − 2 | − 1 | 0.494812 | 0.01212 | 64.24 |
| 3 | 1 | − 1 | 0.504761 | 0.01070 | 143.24 |
| 1 | 0 | 1 | − 0.501445 | 0.00753 | − 70.49 |
| 2 | − 3 | 0 | − 0.009949 | 0.00676 | − 85.79 |
Notes. We provide the dominating terms of x by decreasing amplitude (|xk| > 5 × 10−3). We have 
(Eq. (10)), and φk = arg xk. ν = (n, υ, g) is the fundamental frequencies vector of the orbital motion, where
n = 112.305 rad yr−1 is the mean motion, υ = 0.744857 rad yr−1 the libration frequency, and g = −0.324472 rad yr−1 the precession rate.
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