Kepler motion on single-sheet hyperboloid

Kepler motion on single-sheet hyperboloid

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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Veröffentlicht in:Physics of atomic nuclei 2017-07, Vol.80 (4), p.739-746
Hauptverfasser: Kurochkin, Yu. A., Otchik, V. S., Mardoyan, L. G., Petrosyan, D. R., Pogosyan, G. S.
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
COULOMB FIELD
Elementary Particles and Fields
EUCLIDEAN SPACE
HAMILTON-JACOBI EQUATIONS
HYPERBOLIC CONFIGURATION
Particle and Nuclear Physics
PERIODICITY
Physics
Physics and Astronomy
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Beschreibung
Zusammenfassung: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.
ISSN:1063-7788
1562-692X
DOI:10.1134/S1063778817040147