Dynamics of Oblate Test Particle under the Influence of Oblate and Radiating Primaries in Elliptic Restricted Three Body Problem

Authors

  • A. Narayan Department of Mathematics, Bhilai Institute of Technology, Durg, Chattish Garh 491001
  • A. Chakraborty Department of Mathematics, Bhilai Institute of Technology, Durg, Chattish Garh 491001
  • A. Dewangan Department of Mathematics, Bhilai Institute of Technology, Durg, Chattish Garh 491001

DOI:

https://doi.org/10.26713/jims.v10i1-2.678

Keywords:

Elliptical Restricted Three Body Problem, Oblateness, Binary system, Triangular and Collinear equilibrium points

Abstract

This paper presents a generalized problem of the photogravitational restricted three body, where both the primaries are radiating; in the sense that the eccentricity of the orbits and the oblateness due to both the primaries and infinitesimal are considered. The positions and stability of the equilibrium points of this problem are studied. The stability analysis ensures that, the collinear equilibrium points are unstable in the linear sense while the stability condition for the triangular points is obtained. For illustrative numerical exploration four binary system: Luyten-726, Kruger-60 and Alpha-Centauri are considered, the location and stability of their planar equilibrium points are studied semi-analytically.

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Published

2018-04-30
CITATION

How to Cite

Narayan, A., Chakraborty, A., & Dewangan, A. (2018). Dynamics of Oblate Test Particle under the Influence of Oblate and Radiating Primaries in Elliptic Restricted Three Body Problem. Journal of Informatics and Mathematical Sciences, 10(1-2), 73–92. https://doi.org/10.26713/jims.v10i1-2.678

Issue

Vol. 10 No. 1-2 (2018)

Section

Research Articles

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