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Table 4
Comparisons of the amplitude of the sinusoids found in this paper with the analytical ones of Mouret et al. (2009) of the effects of Ceres, Pallas and Vesta on aMars.
Our analysis | Mouret et al. (2009) | |||||||
Period | Amplitude | Period | Amplitude | Argument | ||||
(y) | (m) | (y) | (m) | i λM | + | j λc | ||
i | j | |||||||
|
||||||||
Ceres | ||||||||
10.280 | 59.5370 | 10.25 | 59.390 | 1 | –2 | |||
44.330 | 57.5675 | 45.77 | 60.587 | |||||
1.590 | 49.3516 | 1.59 | 49.517 | 2 | –2 | |||
2.429 | 36.2161 | 2.43 | 36.352 | 2 | –3 | |||
5.139 | 24.9480 | 5.12 | 25.132 | 2 | –4 | |||
1.118 | 19.5619 | |||||||
1.060 | 20.0837 | 1.06 | 19.897 | 3 | –3 | |||
1.377 | 18.4410 | 1.38 | 18.550 | 3 | –4 | |||
8.342 | 15.4159 | 8.37 | 15.708 | 1 | –3 | |||
3.180 | 14.8437 | 3.18 | 14.900 | 1 | –1 | |||
1.964 | 11.4949 | 1.96 | 11.369 | 3 | –5 | |||
0.961 | 9.6248 | 0.96 | 9.694 | 4 | –5 | |||
0.745 | 8.5178 | |||||||
0.795 | 8.1945 | 0.79 | 7.944 | 4 | –4 | |||
13.378 | 6.9088 | 13.20 | 7.465 | 3 | –7 | |||
3.426 | 6.7110 | 3.42 | 6.672 | 3 | –6 | |||
1.214 | 6.6896 | 1.21 | 6.627 | 4 | –6 | |||
76.553 | 5.6321 | |||||||
0.738 | 4.8935 | 0.74 | 4.952 | 5 | –6 | |||
0.862 | 4.7347 | 0.86 | 4.682 | 3 | –2 | |||
0.559 | 4.7800 | |||||||
0.879 | 4.0163 | 0.88 | 3.934 | 5 | –7 | |||
1.649 | 3.1624 | 1.65 | 3.665 | 4 | –7 | |||
0.678 | 3.4828 | 0.68 | 3.366 | 4 | –3 | |||
1.881 | 3.0392 | 1.88 | 2.992 | 1 | 0 | |||
|
||||||||
Pallas | ||||||||
49.058 | 73.5324 | 48.65 | 74.350 | 2 | –5 | |||
1.118 | 19.0229 | |||||||
12.855 | 14.7998 | 12.89 | 14.750 | 3 | –7 | |||
24.518 | 14.1215 | 24.32 | 13.883 | 4 | –10 | |||
5.093 | 13.0090 | 5.10 | 13.224 | 2 | –4 | |||
2.421 | 9.6624 | 2.42 | 9.619 | 2 | –3 | |||
17.424 | 6.2069 | 17.54 | 7.121 | 5 | –12 | |||
1.588 | 7.1841 | 1.59 | 6.537 | 2 | –2 | |||
10.185 | 6.8003 | 10.19 | 6.508 | 1 | –2 | |||
8.433 | 6.9895 | 8.43 | 6.358 | 1 | –3 | |||
3.395 | 5.7901 | 3.40 | 5.789 | 3 | –6 | |||
7.196 | 5.5975 | 7.18 | 5.505 | 3 | –8 | |||
1.956 | 4.6407 | 1.96 | 4.638 | 3 | –5 | |||
5.683 | 4.8822 | 5.69 | 4.593 | 4 | –9 | |||
27.009 | 4.4647 | 27.44 | 3.964 | 7 | –17 | |||
4.217 | 3.8491 | 4.21 | 3.934 | 2 | –6 | |||
1.374 | 3.6767 | 1.37 | 3.590 | 3 | –4 | |||
16.358 | 2.8954 | 16.22 | 3.366 | 6 | –15 | |||
2.546 | 2.9761 | 2.55 | 2.857 | 4 | –8 | |||
2.546 | 2.9761 | 1.64 | 2.423 | 4 | –7 | |||
1.058 | 2.2976 | |||||||
1.210 | 2.1458 | 1.21 | 2.035 | 4 | –6 | |||
|
||||||||
Vesta | ||||||||
25.855 | 38.9394 | 25.93 | 38.746 | 2 | –4 | |||
1.952 | 30.6734 | 1.95 | 30.368 | 2 | –2 | |||
4.223 | 25.5473 | 4.22 | 24.983 | 2 | –3 | |||
1.301 | 15.7973 | 1.30 | 15.708 | 3 | –3 | |||
2.029 | 13.9884 | 2.03 | 13.254 | 3 | –4 | |||
3.904 | 11.5442 | 3.90 | 11.325 | 1 | –1 | |||
4.598 | 10.5150 | 4.59 | 9.829 | 3 | –5 | |||
17.238 | 9.9542 | 17.29 | 9.140 | 3 | –6 | |||
0.976 | 8.5505 | 0.98 | 8.198 | 4 | –4 | |||
1.335 | 8.3356 | 1.33 | 8.078 | 4 | –5 |
Notes. Coefficients are ranged in decreasing order of amplitude.
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