Tangent bundle geometry from dynamics: Application to the Kepler problem
From MaRDI portal
Publication:2980103
DOI10.1142/S0219887817500475zbMath1367.37051arXiv1612.07484OpenAlexW3103067020MaRDI QIDQ2980103
J. A. Jover-Galtier, José F. Cariñena, Giuseppe Marmo, Jesús Clemente-Gallardo
Publication date: 27 April 2017
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.07484
complete vector fieldKepler dynamics\(f\)-oscillatorsecond-order vector fieldtangent bundle structure
Two-body problems (70F05) Periodic orbits of vector fields and flows (37C27) Lagrange's equations (70H03)
Related Items (2)
Sundman transformation and alternative tangent structures ⋮ Infinitesimal time reparametrisation and its applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the global symmetry of the classical Kepler problem
- Structure of dynamical systems. A symplectic view of physics. Transl. from the French by C. H. Cushman-de Vries. Transl. ed.: R. H. Cushman a. G. M. Tuynman
- A property of conformally Hamiltonian vector fields; application to the Kepler problem
- The Hopf fibration --- seven times in physics
- Structure presque tangente et connexions. I
- Structure presque tangente et connexions. II
- Tangent bundle geometry Lagrangian dynamics
- REDUCTION PROCEDURES IN CLASSICAL AND QUANTUM MECHANICS
- Affine bundles and integrable almost tangent structures
- A characterization of the Ligon-Schaaf regularization map
- Conservative Dynamical Systems Involving Strong Forces
- REDUCTION AND UNFOLDING: THE KEPLER PROBLEM
- Geometry from Dynamics, Classical and Quantum
- Perturbation theory of Kepler motion based on spinor regularization.
- A global formulation of the Lie theory of transformation groups
- REDUCTION AND UNFOLDING FOR QUANTUM SYSTEMS: THE HYDROGEN ATOM
- Families of Periodic Solutions of Systems having Relatively Invariant Line Integrals
This page was built for publication: Tangent bundle geometry from dynamics: Application to the Kepler problem
