Table 3
Exoplanets from http://exoplanet.eu on 2018-03-07 classified non-resonant with the method detailed in this study.
| Name | j∕N | a | αmax |  |
max[Si] |
|---|---|---|---|---|---|
| (au) | (″ yr−1) | (×104) | |||
| HD 113538 b | 1/2 | 1.24 | 233.0382 | 1.0 | 1815 |
| HD 134987 c | 2/2 | 5.80 | 4.0960 | 1.2 | 763 |
| HD 163607 c | 2/2 | 2.42 | 31.3391 | 1.2 | 626 |
| HD 89744 c | 1/2 | 0.44 | 5497.1869 | 1.2 | 6954 |
| WASP-53 c | 2/2 | 3.73 | 2.0657 | 1.3 | 221 |
| HD 65216 b | 2/2 | 1.30 | 242.7438 | 1.4 | 596 |
| HD 85390 c | 2/2 | 4.23 | 6.5843 | 1.4 | 726 |
| HD 183263 b | 1/2 | 1.51 | 104.8361 | 1.5 | 2031 |
| HD 204313 b | 2/3 | 3.17 | 9.2689 | 1.5 | 588 |
| HD 27894 d | 3/3 | 5.45 | 1.2133 | 1.6 | 268 |
| HD 204313 d | 3/3 | 3.93 | 8.4220 | 1.7 | 1343 |
| HD 37605 c | 2/2 | 3.81 | 5.8515 | 1.8 | 850 |
| HD 45364 b | 1/2 | 0.68 | 1672.3835 | 2.0 | 1165 |
| HD 7449 b | 1/2 | 2.30 | 53.9106 | 2.1 | 6921 |
| GJ 676A b | 3/4 | 1.81 | 25.8112 | 2.2 | 1731 |
| TYC+1422-614-1 b | 1/2 | 0.69 | 1363.7143 | 2.7 | 630 |
| HD 155358 c | 2/2 | 1.02 | 647.5095 | 2.8 | 754 |
| HD 34445 g | 6/6 | 6.36 | 3.2020 | 2.8 | 162 |
| HD 47366 b | 1/2 | 1.21 | 483.1022 | 2.8 | 1270 |
| HD 73526 b | 1/2 | 0.65 | 1619.2167 | 2.8 | 1647 |
| HD 37124 d | 3/3 | 2.81 | 30.8760 | 2.9 | 585 |
| 55 Cnc d | 5/5 | 5.45 | 1.6778 | 3.0 | 34 |
| 24 Sex b | 1/2 | 1.33 | 287.8167 | 3.0 | 702 |
| HD 133131A c | 2/2 | 4.36 | 9.3548 | 3.4 | 2688 |
| HD 45364 c | 2/2 | 0.90 | 965.6966 | 3.5 | 289 |
| HD 102272 c | 2/2 | 1.57 | 185.6220 | 3.9 | 3092 |
| HD 108874 c | 2/2 | 2.68 | 34.1534 | 3.9 | 885 |
| HD 147873 c | 2/2 | 1.36 | 222.9728 | 3.9 | 1300 |
| HIP 67851 c | 2/2 | 3.82 | 6.7632 | 4.0 | 234 |
| HD 125612 d | 3/3 | 4.20 | 3.0777 | 4.1 | 844 |
| HD 147018 c | 2/2 | 1.92 | 28.5927 | 4.2 | 357 |
| HD 12661 c | 2/2 | 2.56 | 32.4707 | 4.4 | 1213 |
| HD 74156 c | 2/2 | 3.82 | 4.3343 | 4.7 | 581 |
| HD 11506 b | 2/2 | 2.43 | 26.5808 | 5.0 | 462 |
| HD 141399 e | 4/4 | 5.00 | 7.2669 | 5.0 | 1144 |
| HD 4732 c | 2/2 | 4.60 | 7.1381 | 5.4 | 730 |
| HD 38529 c | 2/2 | 3.70 | 3.0111 | 5.7 | 86 |
| WASP-81 c | 2/2 | 2.43 | 4.6451 | 5.9 | 22 |
| HD 154857 c | 2/2 | 5.36 | 4.2372 | 6.6 | 898 |
| nu Oph b | 1/2 | 1.90 | 45.1541 | 6.7 | 1183 |
| 24 Sex c | 2/2 | 2.08 | 124.2755 | 6.9 | 1300 |
| Kepler-419 c | 2/2 | 1.68 | 52.9030 | 7.0 | 1024 |
| eta Cet b | 1/2 | 1.27 | 317.3862 | 7.1 | 716 |
| HD 159868 b | 2/2 | 2.25 | 41.0373 | 7.4 | 159 |
| HD 82943 c | 1/3 | 0.75 | 391.5783 | 7.9 | 1902 |
| mu Ara e | 4/4 | 5.24 | 3.5196 | 8.2 | 405 |
| HD 169830 c | 2/2 | 3.60 | 8.7471 | 8.4 | 984 |
| HD 92788 c | 1/2 | 0.60 | 3698.5423 | 8.5 | 10293 |
| HD 113538 c | 2/2 | 2.44 | 27.9248 | 8.6 | 501 |
| HD 33844 b | 1/2 | 1.60 | 190.8341 | 8.8 | 725 |
| Uranus | 7/8 | 19.2 | 0.0682 | 9.9 | 1009 |
| HD 47366 c | 2/2 | 1.85 | 131.0535 | 10.5 | 967 |
| HD 60532 b | 1/2 | 0.77 | 565.4395 | 11.1 | 1291 |
| HD 73526 c | 2/2 | 1.03 | 406.9428 | 11.1 | 1309 |
| HD 128311 b | 1/2 | 1.10 | 265.4641 | 12.2 | 1563 |
| HD 110014 b | 2/2 | 2.31 | 28.8866 | 13.0 | 604 |
| HD 75784 c | 2/2 | 6.50 | 1.2344 | 16.4 | 515 |
| HD 89744 b | 2/2 | 0.88 | 375.7932 | 17.2 | 1771 |
| HD 67087 c | 2/2 | 3.86 | 6.1887 | 18.9 | 2256 |
| HD 142 c | 2/2 | 6.80 | 0.8689 | 20.2 | 317 |
| HD 1605 c | 2/2 | 3.52 | 9.5614 | 20.7 | 202 |
| HD 33844 c | 2/2 | 2.24 | 74.3551 | 22.5 | 687 |
| 47 UMa d | 3/3 | 11.6 | 0.3274 | 23.4 | 569 |
| GJ 317 c | 2/2 | 30.0 | 0.0069 | 23.9 | 2182 |
| ups And d | 3/4 | 2.55 | 7.8848 | 23.7 | 768 |
| HD 200964 b | 1/2 | 1.60 | 162.1684 | 28.6 | 412 |
| eta Cet c | 2/2 | 1.93 | 77.3953 | 28.9 | 446 |
| HD 7449 c | 2/2 | 4.96 | 3.7979 | 29.7 | 2617 |
| HD 87646A c | 2/2 | 1.58 | 17.3656 | 31.5 | 619 |
| HD 82943 b | 2/3 | 1.19 | 96.0380 | 32.1 | 1498 |
| ups And e | 4/4 | 5.25 | 5.6512 | 33.1 | 6502 |
| HD 200964 c | 2/2 | 1.95 | 137.7501 | 33.7 | 771 |
| HD 183263 c | 2/2 | 4.25 | 4.5921 | 35.0 | 1163 |
| HD 82943 d | 3/3 | 2.15 | 86.0321 | 35.8 | 10947 |
| Neptune | 8/8 | 30.1 | 0.0156 | 43.4 | 810 |
| HD 5319 b | 1/2 | 1.75 | 130.8026 | 47.8 | 536 |
| HD 202206 B | 1/2 | 0.83 | 90.1987 | 49.0 | 1183 |
| TYC+1422-614-1 c | 2/2 | 1.39 | 72.4459 | 51.0 | 110 |
| HD 168443 c | 2/2 | 2.84 | 3.9323 | 53.8 | 401 |
| HD 5319 c | 2/2 | 2.07 | 107.4439 | 58.2 | 831 |
| HD 30177 b | 1/2 | 3.58 | 4.4350 | 63.2 | 941 |
| HD 128311 c | 2/2 | 1.76 | 43.9586 | 73.5 | 643 |
| GJ 676 A c | 4/4 | 6.60 | 0.5295 | 107.0 | 901 |
| HIP 5158 c | 2/2 | 7.70 | 0.2293 | 134.4 | 168 |
| BD+202457 b | 1/2 | 1.45 | 100.0644 | 148.1 | 682 |
| NN Ser (AB) d | 1/2 | 3.39 | 6.7742 | 155.6 | 902 |
| HD 60532 c | 2/2 | 1.58 | 39.3544 | 159.1 | 382 |
| nu Oph c | 2/2 | 6.10 | 1.2729 | 237.0 | 587 |
| HD 30177 c | 2/2 | 6.99 | 1.0682 | 262.5 | 1808 |
| HD 92788 b | 2/2 | 0.97 | 115.8082 | 272.2 | 266 |
| BD+202457 c | 2/2 | 2.01 | 51.6913 | 286.7 | 994 |
| HIP 57050 c | 2/2 | 0.91 | 24.6886 | 407.6 | 24 |
| HD 202206 c | 2/2 | 2.41 | 9.7781 | 452.1 | 3521 |
| NN Ser (AB) c | 2/2 | 5.38 | 0.8811 | 1196.6 | 237 |
Notes. The first column gives the name of the exoplanet; the second column gives the rank of the exoplanet (sorted by increasing semi-major axis) and the total number of planets in the system; the third column gives the semi-major axis value; the fourth column gives the maximum value of the precession constant estimated from Eq. (54); the fifth column gives the minimum ratio of the eigenfrequencies of the Lagrange-Laplace system and αmax in absolute value (γ parameter of Colombo’s top); the sixth column gives the maximum amplitude of the series decomposition obtained from the maximisation (Eq. (50)), allowing to obtain a maximum bound for the β parameter of Colombo’s top.
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