Rosette central configurations, degenerate central configurations and bifurcations

DOI10.1007/s10569-005-5534-2zbMath1175.70013arXiv0909.4890OpenAlexW3101790793MaRDI QIDQ1019421

Manuele Santoprete, Jinzhi Lei

Publication date: 2 June 2009

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.4890

zbMATH Keywords

bifurcations\(n\)-body problemcentral configurationsdegenerate central configurations

Mathematics Subject Classification ID

(n)-body problems (70F10)

Related Items (12)

Topological bifurcations of spatial central configurations in the \(N\)-body problem ⋮ Number of central configurations and singular surfaces in the mass space in the collinear four-body problem ⋮ Central configurations for Newtonian \(N+2p+1\)-body problems ⋮ Bifurcations of critical orbits of invariant potentials with applications to bifurcations of central configurations of the \(N\)-body problem ⋮ On a class of central configurations in the planar \(3n\)-body problem ⋮ Inverse problem of central configurations and singular curve in the collinear 4-body problem ⋮ Generic finiteness for a class of symmetric planar central configurations of the six-body problem and the six-vortex problem ⋮ Seven-body central configurations: a family of central configurations in the spatial seven-body problem ⋮ The eccentric frame decomposition of central force fields ⋮ Stacked central configurations for Newtonian \({N+2p}\)-body problems ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Existence of symmetric central configurations

Cites Work

• Finiteness of relative equilibria of the four-body problem
• Bifurcation of central configuration in the \(2N+1\) body problem
• Topology and mechanics. II: The planar \(n\)-body problem
• Classifying relative equilibria. II

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