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Kepler motion on single-sheet hyperboloid

Journal Article · · Physics of Atomic Nuclei
The classical Kepler–Coulomb problem on the single-sheeted hyperboloid H{sup 3}{sub 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.
OSTI ID:
22759668
Journal Information:
Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 4 Vol. 80; ISSN 1063-7788; ISSN PANUEO
Country of Publication:
United States
Language:
English

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