A minimizing property of homographic solutions

DOI10.1007/s10114-013-1299-9zbMath1357.70010OpenAlexW2004216343MaRDI QIDQ2440484

Abdalla M. Mansur, Daniel C. Offin

Publication date: 18 March 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1299-9

zbMATH Keywords

action functionalholonomic systems\(N\)-body problems

Mathematics Subject Classification ID

(n)-body problems (70F10) Holonomic systems related to the dynamics of a system of particles (70F20)

Related Items (2)

Instability for a family of homographic periodic solutions in the parallelogram four body problem ⋮ Extensions to Chen's minimizing equal mass parallelogram solutions

Cites Work

• Hyperbolicity for symmetric periodic orbits in the isosceles three-body problem
• A minimizing property of Eulerian solutions
• Une caractérisation variationnelle des solutions de Lagrange du problème plan des trois corps
• A Minimizing Property of Keplerian Orbits
• Action-minimizing orbits in the parallelogram four-body problem with equal masses
• A minimizing property of Lagrangian solutions

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