Doubly symmetric periodic orbits around one oblate primary in the restricted three-body problem

DOI10.1007/S10569-019-9889-1zbMath1448.70023OpenAlexW2915450818MaRDI QIDQ2005598

Xingbo Xu

Publication date: 8 October 2020

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

Full work available at URL: https://doi.org/10.1007/s10569-019-9889-1

zbMATH Keywords

analytic continuationrestricted three-body problemaveragingoblatenesssymmetric periodic orbits

Mathematics Subject Classification ID

Three-body problems (70F07)

Related Items (1)

Determination of the doubly symmetric periodic orbits in the restricted three-body problem and Hill's lunar problem

Cites Work

• Unnamed Item
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• Doubly-symmetric periodic solutions of the spatial restricted three-body problem
• Analytic continuation in the case of non-regular dependency on a small parameter with an application to celestial mechanics
• Variational constructions for some satellite orbits in periodic gravitational force fields
• Periodic orbits around an oblate spheroid
• Periodic elliptic motions in a planar restricted (N+1)-body problem
• A Minimizing Property of Keplerian Orbits
• Explicit expansion of the three-body disturbing function for arbitrary eccentricities and inclinations
• A Mathematical Theory of the Orbits About an Oblate Planet
• A remarkable periodic solution of the three-body problem in the case of equal masses

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