Unchained polygons and the \(N\) -body problem

DOI10.1134/S1560354709010079zbMath1229.70035arXiv0807.0427OpenAlexW2159820875MaRDI QIDQ653214

Alain Chenciner, Jacques Féjoz

Publication date: 9 January 2012

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.0427

zbMATH Keywords

symmetry\(n\)-body problemaction minimizationrelative equilibriumLyapunov familyperiodic and quasiperiodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) (n)-body problems (70F10)

Related Items (11)

The Lagrange reduction of the \(n\)-body problem, a survey ⋮ Mathematical algorithm for solving two-body problem ⋮ Relative periodic solutions of the \(N\)-vortex problem via the variational method ⋮ Torus knot choreographies in the n-body problem ⋮ Choreographies in the \(n\)-vortex problem ⋮ Simple choreographies of the planar Newtonian \(N\)-body problem ⋮ Connecting planar linear chains in the spatial \(N\)-body problem ⋮ Symmetries and choreographies in families that bifurcate from the polygonal relative equilibrium of the \(n\)-body problem ⋮ Spatial double choreographies of the Newtonian \(2n\)-body problem ⋮ From the Lagrange polygon to the figure eight. I: Numerical evidence extending a conjecture of Marchal ⋮ Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem

Uses Software

• GSL

Cites Work

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