Effects of Radiation and Triaxiality of Primaries on Existence and Stability of Collinear Equilibrium Points in Elliptical Restricted Three Body Problem

Authors

  • Krishna Kumar Pandey Department of Mathematics, Shri Shankaracharya Institute of Technology and Management, Bhilai 490020
  • Ashutosh Narayan Department of Mathematics, Bhilai Institute of Technology, Durg 491001
  • Sandip Kumar Shrivastava Department of Mathematics, Shri Shankaracharya Institute of Technology and Management, Bhilai 490020

DOI:

https://doi.org/10.26713/jims.v12i1.1094

Keywords:

ER3BP, Lagrangian points, Triaxiality, Dynamical system, Collinear points

Abstract

This paper deals with the motion of infinitesimal mass around primaries whose are radiating and triaxial. They are moving around each other in elliptic orbits about the common barycenter in the neighborhood of collinear equilibrium points. It is observed that location and stability of collinear points are effected by radiation and triaxiality of primaries. The results shows that collinear points \(L_1\) and \(L_2\) are having unstable behavior, while \(L_3\) is showing stable behavior for some values of radiation and triaxiality.

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Published

2020-03-31
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How to Cite

Pandey, K. K., Narayan, A., & Shrivastava, S. K. (2020). Effects of Radiation and Triaxiality of Primaries on Existence and Stability of Collinear Equilibrium Points in Elliptical Restricted Three Body Problem. Journal of Informatics and Mathematical Sciences, 12(1), 83–98. https://doi.org/10.26713/jims.v12i1.1094

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Research Articles