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Kepler motion on single-sheet hyperboloid |
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| Authors: | Yu. A. Kurochkin V. S. Otchik L. G. Mardoyan D. R. Petrosyan G. S. Pogosyan |
| Affiliation: | 1.B.I. Stepanov Institute of Physics,Minsk,Belarus;2.Joint Institute for Nuclear Research,Dubna, Moscow oblast,Russia;3.Yerevan State University,Yerevan,Armenia;4.Departamento de Matematicas, CUCEI,Universidad de Guadalajara,Guadalajara,México |
| Abstract: | 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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