Symmetric periodic orbits of the many-body problem. Resonance and parade of planets

DOI10.1016/0021-8928(95)00040-VzbMath0903.70011OpenAlexW1972128148MaRDI QIDQ1369999

V. N. Tkhai

Publication date: 4 November 1997

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(95)00040-v

zbMATH Keywords

small parameterlinear transformationsNewton's lawSun-planet-satellites system

Mathematics Subject Classification ID

Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (4)

A study of the plane unrestricted three-body problem ⋮ A mechanical system containing weakly coupled subsystems ⋮ Invariant sets and symmetric periodic motions of reversible mechanical systems. ⋮ Global regularization of the orbits of relative motion in a version of the many-body problem

Cites Work

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• Nonlinear oscillations of reversible systems
• Some problems of the stability of a reversible system with a small parameter
• Periodic Solutions for Differential Systems with Symmetries

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