On the figure-8 periodic solutions in the three-body problem

DOI10.1016/j.chaos.2005.11.082zbMath1217.70012OpenAlexW2002809277MaRDI QIDQ939448

Antonio Elipe, Andrés Riaguas, Roger A. Broucke

Publication date: 22 August 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.11.082

zbMATH Keywords

stabilitybifurcationisosceles symmetryrotating Jacobian frame

Mathematics Subject Classification ID

Three-body problems (70F07) Bifurcations and instability for nonlinear problems in mechanics (70K50)

Related Items (3)

A guide to hunting periodic three-body orbits with non-vanishing angular momentum ⋮ Symmetric periodic orbits in the Moulton-Copenhagen problem ⋮ Libration points in the restricted three-body problem: Euler angles, existence and stability

Cites Work

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• The stability of periodic orbits in the three-body problem
• Braids in classical dynamics
• A remarkable periodic solution of the three-body problem in the case of equal masses
• On the stability of periodic orbits of high dimensional autonomous Hamiltonian systems
• Stable orbits of planets of a binary star system in the three-dimensional restricted problem

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