On the variational approach to the periodic \(n\)-body problem

DOI10.1007/s10569-006-9025-xzbMath1219.70030OpenAlexW1992998927MaRDI QIDQ850702

Susanna Terracini

Publication date: 6 November 2006

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

Full work available at URL: https://doi.org/10.1007/s10569-006-9025-x

zbMATH Keywords

collisionssymmetric periodic orbits3-body problemminimizers of the Lagrangian action

Mathematics Subject Classification ID

Related Items (8)

Continuation of normal doubly symmetric orbits in conservative reversible systems ⋮ Platonic polyhedra, topological constraints and periodic solutions of the classical \(N\)-body problem ⋮ Braids with the symmetries of Platonic polyhedra in the Coulomb (N+1)-body problem ⋮ CLASSIFICATION OF SYMMETRY GROUPS FOR PLANAR -BODY CHOREOGRAPHIES ⋮ A continuum of periodic solutions to the planar four-body problem with two pairs of equal masses ⋮ On the stability of periodic N-body motions with the symmetry of Platonic polyhedra ⋮ Distance estimates for simple choreographic solutions of the three-body problem ⋮ Star pentagon and many stable choreographic solutions of the Newtonian 4-body problem

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