期刊
ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES
卷 227, 期 2, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.3847/0067-0049/227/2/13
关键词
celestial mechanics
We consider a modification of the restricted three-body problem where the primary (more massive body) is a triaxial rigid body and the secondary (less massive body) is an oblate spheroid and study periodic motions around the collinear equilibrium points. The locations of these points are first determined for 10 combinations of the parameters of the problem. In all 10 cases, the collinear equilibrium points are found to be unstable, as in the classical problem, and the Lyapunov periodic orbits around them have been computed accurately by applying known corrector-predictor algorithms. An extensive study on the families of three-dimensional periodic orbits emanating from these points has also been done. To find suitable starting points, for all the computed families, semianalytical solutions have been obtained, for both two- and three-dimensional cases, around the collinear equilibrium points using the Lindstedt-Poincare method. Finally, the stability of all computed periodic orbits has been studied.
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