CLASSIFICATION OF SYMMETRY GROUPS FOR PLANAR -BODY CHOREOGRAPHIES

DOI10.1017/fms.2013.5zbMath1325.37017arXiv1305.0470OpenAlexW2151518681MaRDI QIDQ5401651

Katrina Steckles, James A. Montaldi

Publication date: 11 March 2014

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.0470

zbMATH Keywords

group actions\(n\)-body problemssymmetries equivariant dynamical systems

Mathematics Subject Classification ID

Related Items (8)

Braids, metallic ratios and periodic solutions of the \(2n\)-body problem ⋮ A guide to hunting periodic three-body orbits with non-vanishing angular momentum ⋮ Results on equality of masses for choreographic solutions of n-body problems ⋮ Braids of the N-body problem I: cabling a body in a central configuration ⋮ Simple choreographies of the planar Newtonian \(N\)-body problem ⋮ Symmetries and choreographies in families that bifurcate from the polygonal relative equilibrium of the \(n\)-body problem ⋮ Existence of symmetric central configurations ⋮ Transformations of measures via their generalized densities

Cites Work

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