Open Access
Table B.1
Quasi-periodic decomposition of Uranus’s eccentricity and longitude of perihelion (variable z).
| k | µk (″ yr−1) | Ek × 109 |  (°) |
|---|---|---|---|
| 1 | 4.24882 | 37351497 | 210.67 |
| 2 | 3.08952 | 29110713 | 121.36 |
| 3 | 0.66708 | 1640609 | 73.98 |
| 4 | 28.22069 | 1540208 | 308.11 |
| 5 | 1.93168 | 423140 | 208.85 |
| 6 | 5.40817 | 411981 | 301.79 |
| 7 | 2.97706 | 75968 | 306.81 |
| 8 | 27.06140 | 53352 | 218.76 |
| 9 | 4.89647 | 47827 | 115.82 |
| 10 | 52.19257 | 39627 | 45.83 |
| 11 | −20.88236 | 35859 | 203.93 |
| 12 | 1.82121 | 28918 | 154.92 |
| 13 | 0.77840 | 28310 | 65.10 |
| 14 | −19.72306 | 27851 | 293.24 |
| 15 | 28.86795 | 10506 | 32.64 |
| 16 | 27.57346 | 9228 | 43.74 |
| 17 | −0.49216 | 8225 | 164.74 |
| 18 | 29.37998 | 7279 | 38.31 |
| 19 | 53.35188 | 7234 | 314.93 |
| 20 | 3.60029 | 4594 | 301.39 |
| 21 | −56.90922 | 4109 | 224.11 |
| 22 | 5.59644 | 3787 | 110.35 |
| 23 | 7.45592 | 3521 | 200.24 |
| 24 | 17.91550 | 2648 | 335.34 |
| 25 | 76.16447 | 2387 | 143.03 |
| 26 | 5.47449 | 1426 | 275.01 |
| 27 | 51.03334 | 1325 | 316.29 |
| 28 | 5.71670 | 1082 | 120.52 |
| 29 | 5.35823 | 582 | 94.89 |
| 30 | 6.93423 | 536 | 168.90 |
| 31 | 7.05595 | 423 | 358.70 |
| 32 | 17. 36469 | 409 | 303.95 |
| 33 | 7.34103 | 297 | 207.85 |
| 34 | 4.36906 | 221 | 220.83 |
| 35 | 5.99227 | 214 | 113.56 |
| 36 | 7.57299 | 207 | 11 . 47 |
| 37 | 5.65485 | 206 | 39.22 |
| 38 | 5.23841 | 171 | 272.97 |
| 39 | 17.08266 | 114 | 359.38 |
| 40 | 16.81285 | 98 | 93.77 |
| 41 | 6.82468 | 97 | 194.53 |
| 42 | 7.20563 | 61 | 143.91 |
| 43 | 17.63081 | 42 | 10.70 |
| 44 | 19.01870 | 41 | 39.75 |
| 45 | 17.15752 | 39 | 145.02 |
| 46 | 7.71663 | 38 | 93.52 |
| 47 | 17.81084 | 33 | 238.56 |
| 48 | 18.18553 | 30 | 237.28 |
| 49 | 17.72293 | 25 | 228.46 |
| 50 | 16.52731 | 24 | 311.91 |
| 51 | 18.01611 | 21 | 224.83 |
| 52 | 17.47683 | 21 | 80.26 |
| 53 | 17.55234 | 17 | 17.65 |
| 54 | 18. 46794 | 15 | 183.15 |
| 55 | 16.26122 | 15 | 238.89 |
| 56 | 18.08627 | 12 | 176.17 |
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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