Symmetry groups and non-planar collisionless action-minimizing solutions of the three-body problem in three-dimensional space

DOI10.1007/s00205-005-0396-zzbMath1138.70322arXivmath/0407461OpenAlexW1987066495MaRDI QIDQ818544

Davide L. Ferrario

Publication date: 21 March 2006

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407461

Mathematics Subject Classification ID

Three-body problems (70F07) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (7)

Transitive decomposition of symmetry groups for the \(n\)-body problem ⋮ A symmetric spatial periodic orbit in the \(2n\)-body problem ⋮ Symmetric trajectories for the \(2N\)-body problem with equal masses ⋮ Torus knot choreographies in the 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

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