Nonplanar periodic solutions for spatial restricted 3-body and 4-body problems

DOI10.1186/s13661-015-0345-1zbMath1425.70026arXiv1209.3254OpenAlexW2166392631WikidataQ59431448 ScholiaQ59431448MaRDI QIDQ283152

Xiao-Xiao Zhao, Zhang, Shiqing

Publication date: 13 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3254

zbMATH Keywords

nonplanar periodic solutionsrestricted 3-body problemsrestricted 4-body problemsthe second variationvariational minimizers

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Three-body problems (70F07) Variational principles in infinite-dimensional spaces (58E30) Orbital mechanics (70M20) (n)-body problems (70F10)

Related Items (1)

The Sitnikov problem for several primary bodies configurations

Cites Work

• The characterization of the variational minimizers for spatial restricted \(N+1\)-body problems
• Variational minimizing parabolic and hyperbolic orbits for the restricted 3-body problems
• The principle of symmetric criticality
• Critical point theory and Hamiltonian systems
• Periodic orbits of the restricted three-body problem
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