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Table A.3

Coefficients of Fourier and Poisson series for the effects of Ceres on ΩMars.

Period Period SIN COS T SIN T COS Amplitud Asteroid
(Day) (Year)  × 10-4  × 10-4  × 10-4  × 10-7  × 10-7  × 10-7  × 10-2

17237.30 47.19 –254.868 163.129 302.603 120.532 –84.520 119.529 0.126 1_ Ceres
10945.54 29.97 3.333 13.201 13.616 –1.550 –6.445 9.114 0.116 1_ Ceres
7586.87 20.77 –3.312 –4.891 5.907 1.250 2.352 3.326 0.054 1_ Ceres
4921.78 13.48 7.651 –0.338 7.658 –3.232 0.853 1.207 0.036 1_ Ceres
3754.45 10.28 1.482 –1.680 2.241 2.192 0.170 0.241 0.078 1_ Ceres
3045.26 8.34 0.149 5.993 5.995 –2.205 –4.246 6.005 0.056 1_ Ceres
1877.72 5.14 –6.977 1.328 7.102 4.562 –0.518 0.733 0.030 1_ Ceres
1681.32 4.60 –0.203 –3.210 3.216 –1.143 1.428 2.019 0.029 1_ Ceres
1521.01 4.16 3.786 –0.861 3.882 –1.957 0.150 0.212 0.006 1_ Ceres
1252.35 3.43 –0.665 0.300 0.729 0.284 0.253 0.357 0.014 1_ Ceres
1161.48 3.18 –2.464 1.778 3.038 0.017 –1.536 2.172 0.031 1_ Ceres
1083.21 2.97 –1.423 –0.137 1.429 1.120 0.322 0.456 0.010 1_ Ceres
887.02 2.43 5.332 –2.557 5.913 –3.223 1.151 1.628 0.018 1_ Ceres
840.68 2.30 –0.150 –0.303 0.338 0.904 0.412 0.582 0.019 1_ Ceres
717.62 1.96 3.271 1.048 3.435 –1.827 –0.739 1.045 0.009 1_ Ceres
686.93 1.88 0.479 –5.096 5.119 0.187 2.734 3.866 0.012 1_ Ceres
580.74 1.59 –3.886 –1.628 4.214 2.118 1.406 1.989 0.016 1_ Ceres
560.52 1.53 0.764 1.457 1.645 –0.390 –0.971 1.374 0.006 1_ Ceres
502.94 1.38 –1.693 –1.005 1.969 1.027 0.679 0.960 0.007 1_ Ceres
487.69 1.34 –2.055 1.376 2.473 0.739 –0.930 1.316 0.008 1_ Ceres
431.64 1.18 2.216 3.012 3.739 –1.231 –1.633 2.309 0.006 1_ Ceres
387.16 1.06 0.068 3.096 3.097 –0.005 –1.781 2.519 0.006 1_ Ceres
343.47 0.94 –1.495 –3.287 3.611 0.833 1.882 2.661 0.008 1_ Ceres

AMPLITUDE Before = 0.005407 After = 0.000974

Notes. Bias:  − 0.811114; linear: 0.427426 × 10-3; T2:  − 0.121763 × 10-7. The next-to-last column indicates the peak-to-peak amplitude of the total mixed component for the 100 y time interval.

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