Kepler motion on single-sheet hyperboloid
Mathematical Physics
2017-09-13 v1 math.MP
Abstract
The classical Kepler-Coulomb problem on the single-sheeted hyperboloid 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.
Keywords
Cite
@article{arxiv.1603.08139,
title = {Kepler motion on single-sheet hyperboloid},
author = {Yu. A. Kurochkin and V. S. Otchik and L. G. Mardoyan and D. R. Petrosyan and G. S. Pogosyan},
journal= {arXiv preprint arXiv:1603.08139},
year = {2017}
}