On the global dynamics of the anisotropic Manev problem

DOI10.1016/j.physd.2004.01.039zbMath1076.70005arXivnlin/0208012OpenAlexW2613972672MaRDI QIDQ1885893

Manuele Santoprete, Florin Nicolae Diacu

Publication date: 12 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0208012

zbMATH Keywords

heteroclinic orbitshomoclinic orbitsPoincaré-Melnikov method

Mathematics Subject Classification ID

Two-body problems (70F05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Dynamical systems in classical and celestial mechanics (37N05) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items

Collision and escape orbits in a generalized Hénon-Heiles model ⋮ Satellite motion in a Manev potential with drag ⋮ Unnamed Item ⋮ Stability in a rhomboidal 5-body problem with generalized central forces ⋮ On the periodic structure of the anisotropic Manev problem ⋮ A simple family of exceptional maps with chaotic behavior ⋮ New families of symmetric periodic solutions of the spatial anisotropic Manev problem ⋮ The Kepler problem with anisotropic perturbations ⋮ Periodic orbits of the spatial anisotropic Manev problem ⋮ Symmetric periodic orbits in the anisotropic Schwarzschild-type problem

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