Planetary theories with the aid of the expansions of elliptic functions

DOI10.1007/BF00693412zbMath0907.70009MaRDI QIDQ1363503

Jean Chapront, Jean-Louis Simon

Publication date: 15 February 1999

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

zbMATH Keywords

convergenceperturbationsJupiterSaturncoplanar circular unperturbed orbits

Mathematics Subject Classification ID

Celestial mechanics (70F15) Elliptic functions and integrals (33E05)

Related Items (4)

On the expansions of intermediate orbit for general planetary theory ⋮ Fast computation of complete elliptic integrals and Jacobian elliptic functions ⋮ A Fractional Partial Differential Equation for Theta Functions ⋮ An improved algorithm to develop semi-analytical planetary theories using Sundman generalized variables

Cites Work

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• General planetary theory in elliptic functions
• First order planetary perturbations with elliptic functions
• Note on Lagrange's inversion formula
• BURRAU'S PROBLEM OF THREE BODIES

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