Bifurcations of Central Configurations in the Four-Body Problem with Some Equal Masses

DOI10.1137/151002484zbMath1333.70020arXiv1412.6443OpenAlexW2276976576MaRDI QIDQ2797742

David Rusu, Manuele Santoprete

Publication date: 31 March 2016

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.6443

zbMATH Keywords

bifurcations\(n\)-body problemcelestial mechanicscentral configurations

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) (n)-body problems (70F10)

Related Items (5)

Some enumeration problems on central configurations at the bifurcation points ⋮ Four-body central configurations with one pair of opposite sides parallel ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Bifurcation of relative equilibria for vortices and general homogeneous potentials ⋮ Chebyshev–Taylor Parameterization of Stable/Unstable Manifolds for Periodic Orbits: Implementation and Applications

Uses Software

• HOM4PS
• MPFI
• SageMath

Cites Work

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• Bifurcations and Enumeration of Classes of Relative Equilibria in the Planar Restricted Four-Body Problem
• Elements of applied bifurcation theory

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