Influence of Poynting-Robertson Drag and Oblateness on Existence and Stability of Out of Plane Equilibrium Points in Spatial Elliptic Restricted Three Body Problem

Authors

  • A. Chakraborty Bhilai Institute of Technology, Chhattisgarh Swami Vivekanand Technical University
  • A. Narayan Bhilai Institute of Technology, Chhattisgarh Swami Vivekanand Technical University

DOI:

https://doi.org/10.26713/jims.v10i1-2.674

Keywords:

P-R drag, Elliptic Restricted Three Body Problem, Out of plane equilibrium points, Binary systems

Abstract

This paper studies existence and stability of the out of plane equilibrium points \(L_{6,7}\) analytically and numerically in the elliptical restricted three body problem, where both the primaries are radiating oblate spheroid, incorporating the effects of Poynting-Robertson (P-R) drag of the radiating primaries as well. It is observed that consideration of PR-drag forces results in the non-zero y-coordinate of the out of plane equilibrium points. The stability of the equilibrium points is studied in presence of PR-drag forces. Also the stability is further analyzed in the case when the PR-drag forces are neglected. We have explored the existence of out of plane equilibrium points and their stability around the binary systems: Luyten-726 and Sirius.

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Published

2018-04-30
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How to Cite

Chakraborty, A., & Narayan, A. (2018). Influence of Poynting-Robertson Drag and Oblateness on Existence and Stability of Out of Plane Equilibrium Points in Spatial Elliptic Restricted Three Body Problem. Journal of Informatics and Mathematical Sciences, 10(1-2), 55 – 72. https://doi.org/10.26713/jims.v10i1-2.674

Issue

Vol. 10 No. 1-2 (2018)

Section

Research Articles

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