Periodic solutions for any planar symmetric perturbation of the Kepler problem

DOI10.1023/A:1011998806932zbMath1021.70004MaRDI QIDQ5955272

Claudio Vidal

Publication date: 18 March 2003

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

zbMATH Keywords

periodic solutionKepler problemfirst integral of motionPoincaré continuation methodsymmetric perturbation

Mathematics Subject Classification ID

Two-body problems (70F05)

Related Items (14)

Periodic motions in a gravitational central field with a rotating external force ⋮ Symmetric periodic solutions of the anisotropic Manev problem ⋮ Radial periodic perturbations of the Kepler problem ⋮ Symmetric periodic orbits in the Hamiltonian galactic-tidal models ⋮ Unnamed Item ⋮ 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 orbits of the planar anisotropic generalized Kepler problem ⋮ Periodic Orbits of the Planar Anisotropic Kepler Problem ⋮ Continuous symmetric perturbations of planar power law forces ⋮ On the periodic structure of the anisotropic Manev problem ⋮ Periodic solutions of symmetric Kepler perturbations and applications ⋮ New families of symmetric periodic solutions of the spatial anisotropic Manev problem ⋮ Periodic solutions of symmetric perturbation of gravitational potentials

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