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Table 3

Perturbations at the first order of the masses for the mean longitudes greater than 5 × 10-11 rad: comparison between Saturn perturbed by Jupiter and Pluto perturbed by Uranus.


Rank Argument Amplitude Argument Amplitude

1 2λ5 − 5λ6 0.013 2λ8 − 3λ9 4.56
2 λ5 − λ6 3 × 10-3 4λ8 − 6λ9 1.08
3 λ5 − 2λ6 2 × 10-3 6λ8 − 9λ9 0.40
10 3λ5 − 4λ6 1 × 10-4 20λ8 − 30λ9 1 × 10-2
100 14λ5 − 16λ6 8 × 10-8 13λ8 − 18λ9 4 × 10-5
329 17λ5 − 25λ6 5 × 10-11 82λ8 − 23λ9 5 × 10-6
1000 24λ8 − 42λ9 8 × 10-7
15 539 155λ8 − 220λ9 5 × 10-11

Notes. Units of the amplitudes are in rad.

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