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Triangular Libration Points in the CR3BP with Radiation, Triaxiality and Potential from a Belt

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Abstract

In this paper the equations of motion of the circular restricted three body problem is modified to include radiation of the bigger primary, triaxiality of the smaller primary; and gravitational potential created by a belt. We have obtained that due to the perturbations, the locations of the triangular libration points and their linear stability are affected. The points move towards the bigger primary due to the resultant effect of the perturbations. Triangular libration points are stable for \(0<\mu <\mu _c\) and unstable for \(\mu _c \le \mu \le \frac{1}{2}\), where \(\mu _c\) is the critical mass ratio affected by the perturbations. The radiation of the bigger primary and triaxiality of the smaller primary have destabilizing propensities, whereas the potential created by the belt has stabilizing propensity. This model could be applied in the study of the motion of a dust particle near radiating -triaxial binary system surrounded by a belt.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Ahmadu Bello University, Zaria, Nigeria

    Jagadish Singh

  2. Department of Mathematics and Computer Science, Federal University, Kashere, Gombe State, Nigeria

    Joel John Taura

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  1. Jagadish Singh
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  2. Joel John Taura
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Correspondence to Joel John Taura.

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Singh, J., Taura, J.J. Triangular Libration Points in the CR3BP with Radiation, Triaxiality and Potential from a Belt. Differ Equ Dyn Syst 25, 385–396 (2017). https://doi.org/10.1007/s12591-015-0243-0

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