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arXiv · 1603.08139

Kepler motion on single-sheet hyperboloid

Yu. A. Kurochkin·V. S. Otchik·L. G. Mardoyan·D. R. Petrosyan·G. S. Pogosyan
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Abstract

The classical Kepler-Coulomb problem on the single-sheeted hyperboloid $H^{3}_1$ 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.

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Yu. A. Kurochkin, V. S. Otchik, L. G. Mardoyan, D. R. Petrosyan, G. S. Pogosyan. 2016-03-26. Kepler motion on single-sheet hyperboloid. https://doi.org/10.1134/s1063778817040147

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