First order planetary perturbations with elliptic functions

DOI10.1007/BF01235853zbMath0652.70010OpenAlexW1976268155MaRDI QIDQ3798315

Carol A. Williams, Thomas van Flandern, Edward A. Wright

Publication date: 1987

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01235853

zbMATH Keywords

resonanceselliptic integralsJacobian elliptic functionsresonant orbitsplanetary theory

Mathematics Subject Classification ID

Celestial mechanics (70F15) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (4)

General planetary theory in elliptic functions ⋮ Numerical computation of incomplete elliptic integrals of a general form ⋮ Planetary theories with the aid of the expansions of elliptic functions ⋮ On the expansions of intermediate orbit for general planetary theory

Cites Work

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• Families of periodic planetary-type orbits in the three-body problem and their stability
• Motions of the perihelions of Neptune and Pluto
• Approximation methods in celestial mechanics. Application to Pluto's motion
• A third-order intermediate orbit for planetary theory
• Expansions of the negative powers of mutual distances between bodies

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