Transitive decomposition of symmetry groups for the \(n\)-body problem
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Publication:2370616
DOI10.1016/j.aim.2007.01.009zbMath1114.70013arXivmath/0603684OpenAlexW2071696629MaRDI QIDQ2370616
Publication date: 29 June 2007
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0603684
Variational methods for problems in mechanics (70G75) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) (n)-body problems (70F10)
Related Items (9)
Symmetric constellations of satellites moving around a central body of large mass ⋮ Entire minimal parabolic trajectories: the planar anisotropic Kepler problem ⋮ Platonic polyhedra, topological constraints and periodic solutions of the classical \(N\)-body problem ⋮ New periodic solutions for some planar \(N + 3\)-body problems with Newtonian potentials ⋮ Avoiding collisions under topological constraints in variational problems coming from celestial mechanics ⋮ Platonic polyhedra, periodic orbits and chaotic motions in the \(N\)-body problem with non-Newtonian forces ⋮ CLASSIFICATION OF SYMMETRY GROUPS FOR PLANAR -BODY CHOREOGRAPHIES ⋮ Highly eccentric hip-hop solutions of the \(2N\)-body problem ⋮ Exclusion of quadruple collisions in minimizers of the planar equal-mass N-body problem
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