Splendid isolation: local uniqueness of the centered co-circular relative equilibria in the \(N\)-body problem

DOI10.1007/s10569-015-9656-xzbMath1333.70017OpenAlexW1948036342MaRDI QIDQ264915

Marshall Hampton

Publication date: 1 April 2016

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

Full work available at URL: https://doi.org/10.1007/s10569-015-9656-x

zbMATH Keywords

relative equilibria\(N\)-body problemcentral configurationschoreographiesco-circular configurationsequal mass regular polygon

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Celestial mechanics (70F15) (n)-body problems (70F10)

Related Items (5)

On the centered co-circular central configurations for the n-body problem ⋮ Central configurations of four bodies with an axis of symmetry ⋮ Planar \(N\)-body central configurations with a homogeneous potential ⋮ On the uniqueness of co-circular four body central configurations ⋮ On centered co-circular central configurations of the \(n\)-body problem

Cites Work

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• Simple Choreographic Motions of N Bodies: A Preliminary Study
• Action minimizing orbits in then-body problem with simple choreography constraint
• Minima of the action integral in the Newtonian problem of 4 bodies with equal masses: `Hip-hop' orbits
• A remarkable periodic solution of the three-body problem in the case of equal masses
• Action-minimizing orbits in the parallelogram four-body problem with equal masses

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