Fitting hyperbolic pants to a three-body problem

DOI10.1017/S0143385704000653zbMath1069.70006arXivmath/0405014MaRDI QIDQ5461988

Richard Montgomery

Publication date: 27 July 2005

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405014

zbMATH Keywords

negative curvatureJacobi-Maupertuis metricthrice-punctured spherebounded zero-angular-momentum solutions

Mathematics Subject Classification ID

Three-body problems (70F07) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Dynamical systems in classical and celestial mechanics (37N05)

Related Items (13)

Loose ends in a strong force 3-body problem ⋮ Hyperbolic shirts fit a 4-body problem ⋮ Periodic three-body orbits with vanishing angular momentum in the Jacobi–Poincaré ‘strong’ potential ⋮ The three-body problem and equivariant Riemannian geometry ⋮ The hyperbolic plane, three-body problems, and Mnëv's universality theorem ⋮ The three-body problem as a geodesic billiard map with singularities ⋮ Projective dynamics and classical gravitation ⋮ On the sectional curvature along central configurations ⋮ RELATIONAL QUADRILATERALLAND I: THE CLASSICAL THEORY ⋮ Periodic solutions for a prescribed-energy problem of singular Hamiltonian systems ⋮ The zero angular momentum, three-body problem: All but one solution has syzygies ⋮ Symmetry groups of the planar three-body problem and action-minimizing trajectories ⋮ Curvature and geodesic instabilities in a geometrical approach to the planar three-body problem

This page was built for publication: Fitting hyperbolic pants to a three-body problem