Periodic solutions for circular restricted \(N+1\)-body problems

DOI10.1155/2013/173639zbMath1331.70034OpenAlexW2018695969WikidataQ58915431 ScholiaQ58915431MaRDI QIDQ369740

Mohammad Hasan, M. Dambrine, H. S. Yoon

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/173639

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Celestial mechanics (70F15) (n)-body problems (70F10)

Cites Work

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• The principle of symmetric criticality
• Critical point theory and Hamiltonian systems
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• New periodic solutions for 3-body problems
• How the method of minimization of action avoids singularities
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• Variational methods for the choreography solution to the three-body problem
• Une caractérisation variationnelle des solutions de Lagrange du problème plan des trois corps
• Symmetries and noncollision closed orbits for planar N-body-type problems
• A Minimizing Property of Keplerian Orbits
• Braids in classical dynamics
• Symmetric periodic noncollision solutions forN-body-type problems
• 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
• A minimizing property of Lagrangian solutions

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