Abstract
This paper studies the motion of an infinitesimal body near the out-of-plane equilibrium points, L 6,7, in the perturbed restricted three-body problem. The problem is perturbed in the sense that the primaries of the system are oblate spheroids as well as sources of radiation and small perturbations are give to the Coriolis and centrifugal forces. It locates the positions and examines the stability of L 6,7 with a particular application to the binary system Struve 2398. It is observed that their positions are affected by the radiation, oblateness and a small perturbation in the centrifugal force, but is unaffected by that of the Coriolis force. They are also found to be unstable.
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Acknowledgements
The author acknowledges the assistance of Mrs. Aishetu Umar of the Department of Mathematics Ahmadu Bello University Zaria, Nigeria.
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Singh, J. Motion around the out-of-plane equilibrium points of the perturbed restricted three-body problem. Astrophys Space Sci 342, 303–308 (2012). https://doi.org/10.1007/s10509-012-1187-2
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DOI: https://doi.org/10.1007/s10509-012-1187-2