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Kepler motion on single-sheet hyperboloid (1603.08139v1)
Published 26 Mar 2016 in math-ph and math.MP
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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