A noncollision periodic solution for \(N\)-body problems

DOI10.1006/JMAA.2000.7349zbMath0991.70011OpenAlexW2067639203MaRDI QIDQ5935546

Zhang, Shiqing, Qing Zhou

Publication date: 28 August 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7349

zbMATH Keywords

existence of noncollision periodic solutionhomogeneous potentialsN-body problemvariational minimization method

Mathematics Subject Classification ID

(n)-body problems (70F10)

Cites Work

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• Periodic solutions for N-body type problems
• Periodic solutions of Hamiltonian systems of 3-body type
• Collisionless periodic solutions to some three-body problems
• Geometric characterization for the least Lagrangian action of \(n\)-body problems
• Geometric characterization for variational minimization solutions of the 3-body problem with fixed energy
• Symmetries and noncollision closed orbits for planar N-body-type problems
• Periodic solutions of hamiltonian systems
• A Minimizing Property of Keplerian Orbits
• Minima de l'intégrale d'action et équilibres relatifs de n corps
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem
• A minimizing property of Lagrangian solutions

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