Conformal regularization of the Kepler Problem
Copyright policy )Conformal regularization of the Kepler Problem
The classical Kepler problem has singularities because the moving particle can run into the attractive center in finite time. There are various ways to regularize the problem. The present paper clarifies and completes the previous approaches to the regularization of the Kepler problem.
70F05, classical Kepler problem, 58F05, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, regularization, extented phase space, Celestial mechanics, conservation of Lenz-Laplace vector, Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics, attractive center, generating manifold, singularities
70F05, classical Kepler problem, 58F05, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, regularization, extented phase space, Celestial mechanics, conservation of Lenz-Laplace vector, Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics, attractive center, generating manifold, singularities
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