alexa The equilibrium points in the perturbed R3BP with triaxial and luminous primaries


Journal of Astrophysics & Aerospace Technology

Author(s): Jagadish Singh

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This study explores the effects of small perturbations in the Coriolis and centrifugal forces, radiation pressures and triaxiality of the two stars (primaries) on the position and stability of an infinitesimal mass (third body) in the framework of the planar circular restricted three-body problem (R3BP). it is observed that the positions of the usual five (three collinear and two triangular) equilibrium points are affected by the radiation, triaxiality and a small perturbation in the centrifugal force, but are unaffected by that of the Coriolis force. The collinear points are found to remain unstable, while the triangular points are seen to be stable for 0< μ< μ and unstable for $\mu_{c} \le\mu\le\frac{1}{2}$, where μ is the critical mass ratio influenced by the small perturbations in the Coriolis and centrifugal forces, radiation and triaxiality. It is also noticed that the former one and all the latter three posses stabilizing and destabilizing behavior respectively. Therefore, the overall effect is that the size of the region of stability decreases with increase in the values of the parameters involved.

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This article was published in Astrophysics & Space Science and referenced in Journal of Astrophysics & Aerospace Technology

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