CASES OF A STARS PLANAR MOTION INTEGRATED IN THE GRAVITATIONAL-FIELD OF A ROTATING SYSTEM

Citation
Va. Antonov et Ft. Shamshiev, CASES OF A STARS PLANAR MOTION INTEGRATED IN THE GRAVITATIONAL-FIELD OF A ROTATING SYSTEM, Celestial mechanics & dynamical astronomy, 59(3), 1994, pp. 209-219
Citations number
NO
Categorie Soggetti
Astronomy & Astrophysics
ISSN journal
09232958
Volume
59
Issue
3
Year of publication
1994
Pages
209 - 219
Database
ISI
SICI code
0923-2958(1994)59:3<209:COASPM>2.0.ZU;2-3
Abstract
The paper deals with some special cases of the existence of a local in tegral of motion in a two-dimensional potential field rotating with co nstant angular velocity. In this case the trajectories may be complete ly determined, which is not always possible in other cases with a loca l 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.