Variational minimizing parabolic and hyperbolic orbits for the restricted 3-body problems

DOI10.1007/S11425-011-4311-9zbMath1322.70006OpenAlexW2255602429MaRDI QIDQ424329

Zhang, Shiqing

Publication date: 31 May 2012

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4311-9

zbMATH Keywords

existenceodd hyperbolic orbitsodd parabolic orbitsweak forces

Mathematics Subject Classification ID

Three-body problems (70F07)

Related Items (3)

Connecting orbits for Newtonian-like \(N\)-body problems ⋮ Nonplanar periodic solutions for spatial restricted 3-body and 4-body problems ⋮ Variational minimizing parabolic orbits for 2-fixed center problems

Cites Work

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• Homoclinic orbits for a singular second order Hamiltonian system
• The principle of symmetric criticality
• The existence of homoclinic motions
• Critical point theory and Hamiltonian systems
• Collisionless periodic solutions to some three-body problems
• Periodic solutions of singular Lagrangian systems
• Index theory for symplectic paths with applications
• Stable and Random Motions in Dynamical Systems
• Periodic orbits of the restricted three-body problem
• Homoclinic orbits for a class of Hamiltonian systems

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