Cases of a star's planar motion integrated in the gravitational field of a rotating system |
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| Authors: | Vadim A Antonov Faziliddin T Shamshiev |
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| Institution: | (1) Institute of Theoretical Astronomy, 10, Kutuzov Quay, 191187 St. Petersburg, Russia;(2) Astronomy Department of Tashkent University, 700095 TashGU, Tashkent-95, Uzbekistan |
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| Abstract: | The paper deals with some special cases of the existence of a local integral of motion in a two-dimensional potential field rotating with constant angular velocity. In this case the trajectories may be completely determined, which is not always possible in other cases with a local integral, in contrast to the cases with a true integral. Some cases where the trajectories can be determined analytically are trivial but there are also some new nontrivial cases. |
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| Keywords: | Local integral planar motion rotating system integrability trajectories |
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