Email this article Kepler motion on single-sheet hyperboloid
- Authors: Kurochkin Y.A.1, Otchik V.S.1, Mardoyan L.G.2,3, Petrosyan D.R.2, Pogosyan G.S.2,3,4
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Affiliations:
- B.I. Stepanov Institute of Physics
- Joint Institute for Nuclear Research
- Yerevan State University
- Departamento de Matematicas, CUCEI
- Issue: Vol 80, No 4 (2017)
- Pages: 739-746
- Section: Elementary Particles and Fields
- URL: https://journals.rcsi.science/1063-7788/article/view/192237
- DOI: https://doi.org/10.1134/S1063778817040147
- ID: 192237
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Abstract
The classical Kepler–Coulomb problem on the single-sheeted hyperboloid H31 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.
About the authors
Yu. A. Kurochkin
B.I. Stepanov Institute of Physics
Author for correspondence.
Email: yukuroch@bas-net.by
Belarus, Minsk
V. S. Otchik
B.I. Stepanov Institute of Physics
Email: yukuroch@bas-net.by
Belarus, Minsk
L. G. Mardoyan
Joint Institute for Nuclear Research; Yerevan State University
Email: yukuroch@bas-net.by
Russian Federation, Dubna, Moscow oblast; Yerevan
D. R. Petrosyan
Joint Institute for Nuclear Research
Email: yukuroch@bas-net.by
Russian Federation, Dubna, Moscow oblast
G. S. Pogosyan
Joint Institute for Nuclear Research; Yerevan State University; Departamento de Matematicas, CUCEI
Email: yukuroch@bas-net.by
Russian Federation, Dubna, Moscow oblast; Yerevan; Guadalajara
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