New relationships for Laplace coefficients

Statistics – Computation

Scientific paper

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Computational Astrophysics, Laplace Equation, Planetology, Accuracy, Distribution Functions, Perturbation Theory

Scientific paper

Formulas expressing the Laplace coefficients with arbitrary indices
through coefficients of an expansion of a disturbing function of the
coplanar circular planetary problem are determined. Some inequalities
and estimates which are of practical use are presented. The limits on
the guaranteed accuracy of the coefficients are found.

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