New periodic solutions for 2\(n\)-body problems in \(R^{3}\)

DOI10.1016/j.jmaa.2006.07.061zbMath1159.70007OpenAlexW2323402368MaRDI QIDQ874945

Chunhua Deng, Zhang, Shiqing

Publication date: 10 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.07.061

zbMATH Keywords

existencevariational methodsequal massesnoncollisional solution

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Two-body problems (70F05)

Cites Work

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• Une caractérisation variationnelle des solutions de Lagrange du problème plan des trois corps
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• A Minimizing Property of Keplerian Orbits
• Variational methods on periodic and quasi-periodic solutions for the N-body problem
• Braids in classical dynamics
• Geometric characterizations for variational minimization solutions of the 3-body problem
• A remarkable periodic solution of the three-body problem in the case of equal masses
• Action-minimizing orbits in the parallelogram four-body problem with equal masses
• A minimizing property of Lagrangian solutions

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