REDUCTION AND UNFOLDING: THE KEPLER PROBLEM
Copyright policy )REDUCTION AND UNFOLDING: THE KEPLER PROBLEM
In this paper, we show, in a systematic way, how to relate the Kepler problem to the isotropic harmonic oscillator. Unlike previous approaches, our constructions are carried over in the Lagrangian formalism dealing, with second order vector fields. We therefore provide a tangent bundle version of the Kustaanheimo-Stiefel map.
High Energy Physics - Theory, Two-body problems, FOS: Physical sciences, Mathematical Physics (math-ph), Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, High Energy Physics - Theory (hep-th), Lagrangian formalism, Momentum maps; symplectic reduction, Kepler problem, Mathematical Physics, Reduction
High Energy Physics - Theory, Two-body problems, FOS: Physical sciences, Mathematical Physics (math-ph), Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics, High Energy Physics - Theory (hep-th), Lagrangian formalism, Momentum maps; symplectic reduction, Kepler problem, Mathematical Physics, Reduction
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