Abstract
The model of restricted three-body is generalized to include the effects of the oblateness, the radiation pressure and fictitious forces. The positions of libration points, their stability, the critical mass ratio and periodic orbits emanating from these points are analyzed under the influence of these effects. The results obtained are more generalized. In addition the locations of the out of plane equilibrium points are studied. We also observe that there is no explicit effect for the perturbation of Coriolis force on the positions of the out of plane equilibrium points. It is worth mentioning that this model can be degraded into 128 special cases.
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Acknowledgement
This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under grant No. (857-003-D1433). The authors, therefore, acknowledge with thanks DSR technical and financial support.
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Abouelmagd, E.I. The effect of photogravitational force and oblateness in the perturbed restricted three-body problem. Astrophys Space Sci 346, 51–69 (2013). https://doi.org/10.1007/s10509-013-1439-9
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DOI: https://doi.org/10.1007/s10509-013-1439-9