Periodic solutions of symmetric perturbations of the Kepler problem

DOI10.1006/JDEQ.1999.3733zbMath0956.70011OpenAlexW2092043824MaRDI QIDQ1566829

Claudio Vidal, Hildeberto E. Cabral

Publication date: 12 March 2001

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1999.3733

zbMATH Keywords

periodic solutionreduced dynamicscircular solutionsymmetric perturbation of Kepler problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Perturbations of ordinary differential equations (34D10) Two-body problems (70F05)

Related Items (9)

Periodic motions in a gravitational central field with a rotating external force ⋮ Radial periodic perturbations of the Kepler problem ⋮ Symmetric periodic orbits in the Hamiltonian galactic-tidal models ⋮ Periodic perturbations with rotational symmetry of planar systems driven by a central force ⋮ First kind symmetric periodic solutions and their stability for the Kepler problem and anisotropic Kepler problem plus generalized anisotropic perturbation ⋮ Periodic Solutions to a Perturbed Relativistic Kepler Problem ⋮ Periodic solutions to a forced Kepler problem in the plane ⋮ Periodic solutions of symmetric Kepler perturbations and applications ⋮ Periodic solutions of symmetric perturbation of gravitational potentials

Cites Work

• Topology and mechanics. II: The planar \(n\)-body problem
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