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Table A.2

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

Period Period SIN COS T SIN T COS Amplitud Asteroid
(Day) (Year)  × 10-5  × 10-5  × 10-5  × 10-9  × 10-9  × 10-9  × 10-4

16704.15 45.73 –30.404 –41.976 51.830 128.455 201.120 284.427 0.354 1_ Ceres
4871.57 13.34 –3.481 –0.198 3.486 16.174 2.520 3.564 0.081 1_ Ceres
3745.29 10.25 2.366 2.832 3.691 –6.410 –15.360 21.722 0.143 1_ Ceres
3043.72 8.33 0.387 0.930 1.007 –1.532 –9.749 13.788 0.111 1_ Ceres
1878.41 5.14 0.518 0.763 0.922 –1.876 –5.321 7.525 0.049 1_ Ceres
1683.67 4.61 1.111 0.683 1.304 –7.355 –4.239 5.995 0.052 1_ Ceres
1251.11 3.43 –1.761 0.037 1.762 8.127 0.333 0.471 0.026 1_ Ceres
1161.41 3.18 1.597 0.156 1.604 –5.001 –0.533 0.754 0.067 1_ Ceres
1083.47 2.97 0.253 0.348 0.430 –2.531 –1.831 2.590 0.027 1_ Ceres
887.20 2.43 0.772 –1.393 1.593 –2.531 7.513 10.625 0.043 1_ Ceres
840.94 2.30 –0.626 0.521 0.814 0.989 –3.728 5.273 0.050 1_ Ceres
687.10 1.88 –0.399 0.843 0.932 1.609 –5.043 7.132 0.024 1_ Ceres
580.74 1.59 –0.469 –0.210 0.514 0.789 0.457 0.647 0.038 1_ Ceres
560.56 1.53 –0.124 –0.154 0.198 1.263 1.183 1.673 0.017 1_ Ceres
503.00 1.38 –0.861 0.430 0.963 3.812 –2.672 3.779 0.020 1_ Ceres
487.77 1.34 0.452 –0.048 0.454 –1.446 1.033 1.462 0.023 1_ Ceres
387.16 1.06 –0.661 –0.235 0.701 3.708 1.657 2.344 0.017 1_ Ceres

AMPLITUDE Before = 0.000024 After = 0.237359  × 10-4

Notes. Bias: 0.258949 × 10-1; linear:  −0.251401 × 10-4; T2: 0.600592 × 10-8. 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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