Periodic Orbits of the Planar Anisotropic Kepler Problem

DOI10.1142/S0218127417500390zbMath1360.70014MaRDI QIDQ2985996

Jaume Llibre, Elbaz I. Abouelmagd, Juan Luis García Guirao

Publication date: 11 May 2017

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

zbMATH Keywords

periodic orbitsaveraging theoryanisotropic Kepler problem

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Hamilton's equations (70H05) Two-body problems (70F05) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (6)

Mathematical algorithm for solving two-body problem ⋮ Unnamed Item ⋮ Perturbation of relativistic effect in the dynamics of test particle ⋮ Periodic orbits of the planar anisotropic generalized Kepler problem ⋮ Periodic orbits of the two fixed centers problem with a variational gravitational field ⋮ Periodic orbits of the planar anisotropic Manev problem and of the perturbed hydrogen atom problem

Cites Work

• Collision orbits in the anisotropic Kepler problem
• Periodic orbits for anisotropic perturbations of the Kepler problem
• Periodic solutions of nonlinear periodic differential systems with a small parameter
• Periodic Orbits of the Anisotropic Kepler Problem with Quasihomogeneous Potentials
• Qualitative analysis of the anisotropic Kepler problem
• The Kepler problem with anisotropic perturbations
• Blowing Up Singularities in Classical Mechanical Systems
• Periodic solutions for any planar symmetric perturbation of the Kepler problem
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