Kepler motion on single-sheet hyperboloid
- Autores: 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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Afiliações:
- B.I. Stepanov Institute of Physics
- Joint Institute for Nuclear Research
- Yerevan State University
- Departamento de Matematicas, CUCEI
- Edição: Volume 80, Nº 4 (2017)
- Páginas: 739-746
- Seção: 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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Resumo
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.
Sobre autores
Yu. Kurochkin
B.I. Stepanov Institute of Physics
Autor responsável pela correspondência
Email: yukuroch@bas-net.by
Belarus, Minsk
V. Otchik
B.I. Stepanov Institute of Physics
Email: yukuroch@bas-net.by
Belarus, Minsk
L. Mardoyan
Joint Institute for Nuclear Research; Yerevan State University
Email: yukuroch@bas-net.by
Rússia, Dubna, Moscow oblast; Yerevan
D. Petrosyan
Joint Institute for Nuclear Research
Email: yukuroch@bas-net.by
Rússia, Dubna, Moscow oblast
G. Pogosyan
Joint Institute for Nuclear Research; Yerevan State University; Departamento de Matematicas, CUCEI
Email: yukuroch@bas-net.by
Rússia, Dubna, Moscow oblast; Yerevan; Guadalajara
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