Non regularizability of the anisotropic Kepler problem

DOI10.1016/0022-0396(78)90124-9zbMath0351.58003OpenAlexW2023168984MaRDI QIDQ1235437

Robert L. Devaney

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0022-0396(78)90124-9

Mathematics Subject Classification ID

Two-body problems (70F05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (8)

Symbolic dynamics for the anisotropic \(N\)-centre problem at negative energies ⋮ Generalized Emden-Fowler equations in noncentral curl forces and first integrals ⋮ Higher-order saddle potentials, nonlinear curl forces, trapping and dynamics ⋮ Exponential instability of collision orbit in the anisotropic Kepler problem ⋮ Generalized Emden-Fowler equations related to constant curvature surfaces and noncentral curl forces ⋮ Hamiltonian description of nonlinear curl forces from cofactor systems ⋮ Multifractal measures and stability islands in the anisotropic Kepler problem ⋮ Relativistic formulation of noncentral curl force and relativistic Emden-Fowler type equations

Cites Work

• Double collisions for a classical particle system with nongravitational interactions
• Collision orbits in the anisotropic Kepler problem
• Regularization of vector fields by surgery
• Regularization of kepler's problem and the averaging method on a manifold
• Unnamed Item

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