Geodesic flow on an hyperboloid model and the two-body motion under repulsive Coulomb forces

DOI10.1063/1.532272zbMath1002.37018OpenAlexW2082414051MaRDI QIDQ4260541

Fernando Vericat, Alejandro M. Mesón

Publication date: 16 December 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532272

Mathematics Subject Classification ID

Two-body problems (70F05) Motion of charged particles (78A35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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The classical Kepler problem and geodesic motion on spaces of constant curvature

Cites Work

• Two-body motion under the inverse square central force and equivalent geodesic flows
• The Kepler problem and geodesic flows in spaces of constant curvature
• Regularization of kepler's problem and the averaging method on a manifold