Astronomy and Astrophysics – Astronomy
Scientific paper
Jul 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994cemda..59..209a&link_type=abstract
Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 59, no. 3, p. 209-219
Astronomy and Astrophysics
Astronomy
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.
Antonov Vadim A.
Shamshiev Faziliddin T.
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