• Stability of Triangular Equilibrium Points in the Photogravitational Restricted Three-Body Problem with Oblateness and Potential from a Belt

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      https://www.ias.ac.in/article/fulltext/joaa/035/02/0107-0119

    • Keywords

       

      Restricted three-body problem; photogravitational; zonal harmonic effect; potential from the belt.

    • Abstract

       

      We have examined the effects of oblateness up to 𝐽4 of the less massive primary and gravitational potential from a circum-binary belt on the linear stability of triangular equilibrium points in the circular restricted three-body problem, when the more massive primary emits electromagnetic radiation impinging on the other bodies of the system. Using analytical and numerical methods, we have found the triangular equilibrium points and examined their linear stability. The triangular equilibrium points move towards the line joining the primaries in the presence of any of these perturbations, except in the presence of oblateness up to 𝐽4 where the points move away from the line joining the primaries. It is observed that the triangular points are stable for 0 < 𝜇 < 𝜇c and unstable for 𝜇c ≤ 𝜇 ≤ $\frac{1}{2}$, where 𝜇c is the critical mass ratio affected by the oblateness up to 𝐽4 of the less massive primary, electromagnetic radiation of the more massive primary and potential from the belt, all of which have destabilizing tendencies, except the coefficient 𝐽4 and the potential from the belt. A practical application of this model could be the study of motion of a dust particle near a radiating star and an oblate body surrounded by a belt.

    • Author Affiliations

       

      Jagadish Singh1 Joel John Taura2

      1. Department of Mathematics, Faculty of Science, Ahmadu Bello University, Zaria, Nigeria.
      2. Department of Mathematics and Computer Science, Faculty of Science, Federal University, Kashere, Gombe State, Nigeria.
    • Dates

       
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