Geometric characterization for the least Lagrangian action of \(n\)-body problems

DOI10.1007/BF02872278zbMath1028.70011MaRDI QIDQ1609577

Qing Zhou, Zhang, Shiqing

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

\(n\)-body problemhomographic solutionregular simplexquasihomogeneous potentialsminimum of Lagrangian action integralzero mean loop space

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (1)

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

Cites Work

• Unnamed Item
• Periodic solutions for N-body type problems
• Collisionless periodic solutions to some three-body problems
• Periodic solutions of singular Lagrangian systems
• Near-collision dynamics for particle systems with quasihomogeneous potentials
• Geometric characterization for variational minimization solutions of the 3-body problem with fixed energy
• A Minimizing Property of Keplerian Orbits
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem

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