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Table B.2

Quasi-periodic decomposition of Uranus’s inclination and longitude of ascending node (variable ζ).

k vk (″ yr−1) Sk × 109 (°)
1 0.00000 13773646 107.59
2 −3.00557 8871413 320.33
3 −0.69189 563042 203.96
4 −26.33023 347710 307.29
5 −2.35835 299979 224.75
6 −4.16482 187859 231.66
7 −1.84625 182575 224.56
8 −3.11725 59252 146.97
9 −1.19906 25881 313.99
10 11.50319 18941 101.01
11 10. 34389 11930 11.68
12 −26.97744 10362 225.10
13 −5.61755 10270 348.70
14 20.96631 7346 237.78
15 −0.58033 5474 197.32
16 −5.50098 3662 342.89
17 −50.30212 2748 29.83
18 −7.07963 2372 273.81
19 0.46547 1575 106.88
20 82.77163 1514 308.95
21 −5.85017 1238 165 . 47
22 −7.19493 1177 105.12
23 −6.96094 1120 97.96
24 −17.74818 1109 303.28
25 −5.21610 927 18.91
26 −5.37178 922 35.48
27 −5.10025 903 195.38
28 58.80017 887 32.90
29 −6.84091 826 109.96
30 −7.33264 810 196.75
31 34.82788 701 114.12
32 0.57829 545 283.72
33 −5.96899 529 350.64
34 −18.85115 463 240.24
35 −27.48935 449 38.53
36 −25.17116 425 35.94
37 −6.15490 383 89.77
38 9.18847 310 181.15
39 −28.13656 282 134.07
40 −6.73842 265 44.50
41 −7.40536 245 233.35
42 −7.48780 228 47.95
43 −6.56016 214 303.47
44 −8.42342 178 211 .21
45 18. 14984 139 111.19
46 −19.40256 122 28.16
47 −17.19656 119 153.99
48 −18.01114 84 62.09
49 −17.66094 80 318.93
50 −17.83857 65 109.13
51 −17.54636 58 66.71
52 −17.94404 41 32.26
53 −18.59563 37 278.11
54 −19.13075 15 125.90
55 −18.30007 11 78.29
56 −18.97001 6 253.36
57 −18.69743 3 41 .70
58 −18.77933 3 42.83
59 −18.22681 3 226.30
60 −19.06544 3 230.21

Notes. This solution has been directly obtained from Laskar (1990) as explained in the text. The phases are given at time J2000.

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