Bifurcation of central configuration in the \(2N+1\) body problem

DOI10.1007/s10569-004-1991-2zbMath1138.70008OpenAlexW2053297396MaRDI QIDQ1766270

Masayoshi Sekiguchi

Publication date: 28 February 2005

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

Full work available at URL: https://doi.org/10.1007/s10569-004-1991-2

zbMATH Keywords

relative equilibriumrosette configuration

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) (n)-body problems (70F10)

Related Items

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 ⋮ Particle dynamics in a Maxwell's ring-type configuration with a radiating central primary ⋮ Symmetric planar central configurations of five bodies: Euler plus two ⋮ Seven-body central configurations: a family of central configurations in the spatial seven-body problem ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ Particle motions in Maxwell's ring dynamical systems ⋮ Rosette central configurations, degenerate central configurations and bifurcations ⋮ A note on the relative equilibria bifurcations in the \((2N+1)\)-body problem

Cites Work

• Topology and mechanics. II: The planar \(n\)-body problem
• LINEAR STABILITY IN THE 1 + N-GON RELATIVE EQUILIBRIUM
• Bifurcation of a central configuration
• Bifurcations of relative equilibria in the 4- and 5-body problem
• Bifurcations of Relative Equilibria in the N-Body and Kirchhoff Problems
• Relative equilibrium solutions in the four body problem
• Central configurations of four bodies with one inferior mass
• Bifurcation of Spatial Central Configurations from Planar Ones