Abstract
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.
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