Kepler motion on single-sheet hyperboloid
- Авторы: 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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Учреждения:
- B.I. Stepanov Institute of Physics
- Joint Institute for Nuclear Research
- Yerevan State University
- Departamento de Matematicas, CUCEI
- Выпуск: Том 80, № 4 (2017)
- Страницы: 739-746
- Раздел: Elementary Particles and Fields
- URL: https://journal-vniispk.ru/1063-7788/article/view/192237
- DOI: https://doi.org/10.1134/S1063778817040147
- ID: 192237
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Аннотация
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.
Об авторах
Yu. Kurochkin
B.I. Stepanov Institute of Physics
Автор, ответственный за переписку.
Email: yukuroch@bas-net.by
Белоруссия, Minsk
V. Otchik
B.I. Stepanov Institute of Physics
Email: yukuroch@bas-net.by
Белоруссия, Minsk
L. Mardoyan
Joint Institute for Nuclear Research; Yerevan State University
Email: yukuroch@bas-net.by
Россия, Dubna, Moscow oblast; Yerevan
D. Petrosyan
Joint Institute for Nuclear Research
Email: yukuroch@bas-net.by
Россия, Dubna, Moscow oblast
G. Pogosyan
Joint Institute for Nuclear Research; Yerevan State University; Departamento de Matematicas, CUCEI
Email: yukuroch@bas-net.by
Россия, Dubna, Moscow oblast; Yerevan; Guadalajara
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