Kepler Problem in Hamiltonian Formulation Discussed from Topological Viewpoint

The Kepler problem in Hamiltonian formulation is discussed from a topological viewpoint. Topological properties for a set of cases designated with conserved quantities l,e and E(l,e) (0≤e<1) are expressed with action-angle variables. The involved canonical transformations are all carried out with classical Poisson brackets. Thus it is possible to extend such a formulation to corresponding quantum-mechanical study under quasi-classical conditions.