Expansion of the first order planetary disturbing function by Smart's method. II - Indirect part

Statistics – Computation

Scientific paper

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Computational Astrophysics, Disturbing Functions, Planetary Systems, Series Expansion, Eccentricity, Partial Differential Equations, Taylor Series

Scientific paper

The Taylor expansion of the indirect part of the planetary perturbation function of celestial mechanics is presented. The method of Smart (1960) is applied, as in the expansion for the principal part of the function (Kamel and Soliman, 1989). Terms of degree five or greater with respect to the eccentricities and the tangents of the inclinations are neglected.

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