Time-dependent realization of the infinite-dimensional hydrogen algebra

We use the Hamiltonian formalism to investigate the Katzin-Levine model of a time-dependent Kepler problem. This formalism enables us to define Lie products in terms of Poisson brackets and obtain a time-dependent realization of centerless twisted (or standard) Kac-Moody algebras of so(N + 1), We also show that the classical solutions of the model are modulated conic sections and derive a generalized Kepler equation for the time dependence. (C) 2001 Published by Elsevier Science B.V.