Table 2.
First 30 resonant harmonics of 
along the nominal solution 
spanning 5 Gyr.
| i | Fourier harmonic [ℱi] | ωhyp | τres | ωell | τlibr | Δω | |
|---|---|---|---|---|---|---|---|
| 1 | ⋆ | g3 − g4 − s3 + s4 |
 |
12% |
 |
18% |
 |
| 2 | † | g1 − g2 + s1 − s2 |
 |
19% |
 |
26% |
 |
| 3 | † | g2 − g5 − 2s1 + 2s2 |
 |
23% |
 |
56% |
 |
| 4 | ⋆ | 2g3 − 2g4 − s3 + s4 |
 |
70% |
 |
74% |
 |
| 5 | † | g1 − g5 − s1 + s2 |
 |
10% |
 |
63% |
 |
| 6 | g2 − g4 + s2 − s4 |
 |
6% |
 |
70% |
 |
|
| 7 | g1 − 2g2 + g4 + s1 − 2s2 + s4 |
 |
5% |
 |
69% |
 |
|
| 8 | g1 − g3 + s2 − s3 |
 |
17% |
 |
60% |
 |
|
| 9 | g1 + g3 − 2g4 + s2 − s3 |
 |
5% |
 |
55% |
 |
|
| 10 | ⋆ | 3g3 − 3g4 − s3 + s4 |
 |
9% |
 |
40% |
 |
| 11 | g2 − g3 − s1 + 2s2 − s3 |
 |
5% |
 |
50% |
 |
|
| 12 | g1 − 2g3 + g4 + s2 − s4 |
 |
36% |
 |
51% |
 |
|
| 13 | 2g1 − g3 − g5 + s2 − s4 |
 |
5% |
 |
52% |
 |
|
| 14 | g4 − g5 − s2 + 2s3 − s4 |
 |
2% |
 |
56% |
 |
|
| 15 | g1 − 2g3 + g4 + s1 + s3 − 2s4 |
 |
25% |
 |
61% |
 |
|
| 16 | g1 − g4 + s1 − s4 |
 |
23% |
 |
57% |
 |
|
| 17 | † | g1 − 2g2 + g5 + 3s1 − 3s2 |
 |
6% |
 |
56% |
 |
| 18 | g1 − g4 + s2 − s3 |
 |
18% |
 |
61% |
 |
|
| 19 | 3g1 − g2 − g4 − g5 + s1 − s3 |
 |
2% |
 |
46% |
 |
|
| 20 | 2g1 − g2 − g3 + s1 − s3 |
 |
29% |
 |
55% |
 |
|
| 21 | 2g1 − g2 − g4 + s1 − s3 |
 |
3% |
 |
48% |
 |
|
| 22 | ⋆ | 3g3 − 3g4 − 2s3 + 2s4 |
 |
8% |
 |
47% |
 |
| 23 | 2g1 − g2 − 2g3 + g4 + s1 − s4 |
 |
3% |
 |
38% |
 |
|
| 24 | 2g3 − g4 − g5 − s1 + s4 |
 |
16% |
 |
51% |
 |
|
| 25 | g1 − 3g3 + 2g4 + s2 − s4 |
 |
7% |
 |
53% |
 |
|
| 26 | g1 − g2 − g3 + g4 + s1 − s2 |
 |
6% |
 |
57% |
 |
|
| 27 | g1 + g3 − 2g4 + s1 − s4 |
 |
3% |
 |
42% |
 |
|
| 28 | † | g1 + g2 − 2g5 − 3s1 + 3s2 |
 |
4% |
 |
42% |
 |
| 29 | 3g1 − g2 − g4 − g5 + s2 − s3 |
 |
4% |
 |
54% |
 |
|
| 30 | 2g1 − g4 − g5 + s2 − s4 |
 |
7% |
 |
55% |
 |
Notes. Time median of the fixed point frequencies ωhyp, ωell and of the resonance half-width Δω in arcsec yr−1. The 5th and 95th percentiles are reported as subscripts and superscripts, respectively. The fraction of time the harmonic is resonant is τres, and τlibr represents the fraction of libration states in the resonant case. The resonances are ranked according to their median half-width.
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