Kepler motion on single-sheet hyperboloid

Abstract

The classical Kepler-Coulomb problem on the single-sheeted hyperboloid $H_1^3$ is solved in the framework of the Hamilton--Jacobi equation. We have proven that all the bounded orbits are closed and periodic. The paths are ellipses or circles for finite motion.

References in corpus (1)

• Hamiltonians for the Quantum Hall Effect on Spaces with Non-Constant Metrics