Periodic Orbits of the Anisotropic Kepler Problem with Quasihomogeneous Potentials

DOI10.1142/S0218127415400258zbMath1334.70031OpenAlexW2239582936MaRDI QIDQ2800664

Raquel Martínez, Miguel A. López, Juan A. Vera

Publication date: 18 April 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127415400258

zbMATH Keywords

periodic solutionsaveraging theoryanisotropic Kepler problem

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Hamilton's equations (70H05) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (4)

Periodic Solutions, KAM Tori, and Bifurcations in the Planar Anisotropic Schwarzschild-Type Problem ⋮ Unnamed Item ⋮ 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 Kepler Problem

Cites Work

• Periodic orbits of Hamiltonian systems: applications to perturbed Kepler problems
• The Kepler problem. Group theoretical aspects, regularization and quantization, with application to the study of perturbations (incl. CD-ROM)
• Qualitative analysis of the anisotropic Kepler problem
• On the anisotropic Manev problem
• Symmetric periodic solutions of the anisotropic Manev problem
• Stability and instability in the anisotropic Kepler problem

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