Table 1
First twenty terms of Uranus’s inclination and longitude of ascending node in the J2000 ecliptic and equinox reference frame.
| k | Identification(*) | vk (″ yr−1) | Sk × 109 |  (°) |
|---|---|---|---|---|
| 1 | s5 | 0.00000 | 13.773 646 | 107.59 |
| 2 | s7 | −3.00557 | 8.871 413 | 320.33 |
| 3 | s8 | −0.69189 | 563 042 | 203.96 |
| 4 | s6 | −26.33023 | 347 710 | 307.29 |
| 5 | − 𝒢5 + 𝒢6 + s6 | −2.35835 | 299979 | 224.75 |
| 6 | − 𝒢5 + 𝒢7 + s7 | −4.16482 | 187859 | 231.66 |
| 7 | 𝒢5 − 𝒢7 + s7 | −1.84625 | 182575 | 224.56 |
| 8 | − 𝒢7 + 𝒢8 + s8 | −3.11725 | 59252 | 146.97 |
| 9 | 𝒢6 + 𝒢7 + s6 | −1.19906 | 25 881 | 313.99 |
| 10 | 2𝒢5 − s7 | 11.50319 | 18 941 | 101.01 |
| 11 | 𝒢5 + 𝒢7 − s7 | 10.34389 | 11930 | 11.68 |
| 12 | 𝒢5 − 𝒢6 + s7 | −26.97744 | 10362 | 225.10 |
| 13 | s1 | −5.61755 | 10270 | 348.70 |
| 14 | − 𝒢5 + 𝒢6 + s7 | 20.96631 | 7346 | 237.78 |
| 15 | 𝒢7 − 𝒢8 + s7 | −0.58033 | 5474 | 197.32 |
| 16 | s1 + γ | −5.50098 | 3662 | 342.89 |
| 17 | 𝒢5 − 𝒢6 + s6 | −50.30212 | 2748 | 29.83 |
| 18 | s2 | −7.07963 | 2372 | 273.81 |
| 19 | 𝒢5 − 𝒢7 + s8 | 0.46547 | 1575 | 106.88 |
| 20 | 2𝒢6 − s6 | 82.77163 | 1514 | 308.95 |
Notes. Due to the secular resonance (𝒢1 − 𝒢5) − (s1 − s2), an additional fundamental frequency γ appears in term 16 (see Laskar 1990). (*)There are typographical errors in Laskar (1990) in the identification of the 6th and 7th terms.
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