Instability of the periodic hip-hop orbit in the \(2N\)-body problem with equal masses

DOI10.3934/DCDS.2013.33.1137zbMath1332.70014OpenAlexW2321583851MaRDI QIDQ1946345

Mitchell Kovacic, Pietro-Luciano Buono, Daniel C. Offin, Mark A. Lewis

Publication date: 19 April 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.1137

zbMATH Keywords

HamiltonianLagrangian plane\(n\)-body problemMaslov indexreduced spaceequivariant action integralspatial and time reversing symmetry group

Mathematics Subject Classification ID

(n)-body problems (70F10) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (5)

About simple variational splines from the Hamiltonian viewpoint ⋮ Instability of closed orbits obtained by minimization* ⋮ Instability for a family of homographic periodic solutions in the parallelogram four body problem ⋮ Instability criterion for periodic solutions with spatio-temporal symmetries in Hamiltonian systems ⋮ Periodic Oscillations in a \(2{N}\) -Body Problem

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