Cases of a star's planar motion integrated in the gravitational field of a rotating system

Astronomy and Astrophysics – Astronomy

Scientific paper

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Orbit Calculation, Orbits, Rotation, Stellar Motions, Trajectories, Trajectory Analysis, Gravitational Fields, Potential Fields

Scientific paper

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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