Instability for a family of homographic periodic solutions in the parallelogram four body problem
type: Item
instance of: scholarly article
title: Instability for a family of homographic periodic solutions in the parallelogram four body problem
zbMATH Open document ID: 1417.70009
published in: Qualitative Theory of Dynamical Systems
publication date: 2018-06-20T00:00:00Z
Mathematics Subject Classification ID: 70F10
Mathematics Subject Classification ID: 34C25
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 37N05
Mathematics Subject Classification ID: 54H20
zbMATH DE Number: 6891782
zbMATH Keywords: Hamiltonian
zbMATH Keywords: n-body problem
zbMATH Keywords: equivariant action integral
zbMATH Keywords: reduced space
zbMATH Keywords: Maslov index
author: Abdalla M. Mansur
author: Daniel C. Offin
author: M. A. Lewis
MaRDI profile type: Publication
full work available at URL: s12346-017-0232-5
OpenAlex ID: W2605995420
cites work: The Sturm theorems and symplectic geometry
cites work: Action-minimizing orbits in the parallelogram four-body problem with equal masses
cites work: A remarkable periodic solution of the three-body problem in the case of equal masses
cites work: A Minimizing Property of Keplerian Orbits
cites work: Index and stability of symmetric periodic orbits in Hamiltonian systems with application to figure-eight orbit
cites work: Q4167627
cites work: Instability of the periodic hip-hop orbit in the \(2N\)-body problem with equal masses
cites work: A minimizing property of homographic solutions
cites work: Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
cites work: Variational structure of the zones of instability.
cites work: Hyperbolic minimizing geodesics
cites work: Hyperbolicity for symmetric periodic orbits in the isosceles three-body problem
cites work: Linear stability analysis of the figure-eight orbit in the three-body problem
cites work: A minimizing property of Eulerian solutions
cites work: A minimizing property of Lagrangian solutions
DOI: 10.1007/S12346-017-0232-5
description: scientific article; zbMATH DE number 6891782