Effects of Triaxiality and Radiation Pressure on Existence of Resonance Stability of Triangular Equilibrium Points in Elliptical Restricted Three-Body Problem

Authors

  • Krishna Kumar Pandey Department of Mathematics, Shri Shankaracharya Institute of Technology and Management, Bhilai 490020
  • A. 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.v11i3-4.897

Keywords:

ER3BP, Triangular libration points, Resonance

Abstract

This paper deals with the effects of radiation and triaxiality on linear stability of the triangular librations points for small value of eccentricity ‘\(e\)' in presence of resonance. The study is carried out for various values of radiation pressure and Triaxiality parameter of both Primaries. It is found that the parametric resonance is only possible at the resonance frequency \(\omega_2 =1/2\) in elliptical case.

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Author Biography

Krishna Kumar Pandey, Department of Mathematics, Shri Shankaracharya Institute of Technology and Management, Bhilai 490020

Assistant Professor,Shri shankaracharya institute of technology and management, Bhilai , Chhattisgarh

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Published

2019-09-30
CITATION

How to Cite

Pandey, K. K., Narayan, A., & Shrivastava, S. K. (2019). Effects of Triaxiality and Radiation Pressure on Existence of Resonance Stability of Triangular Equilibrium Points in Elliptical Restricted Three-Body Problem. Journal of Informatics and Mathematical Sciences, 11(3-4), 345–374. https://doi.org/10.26713/jims.v11i3-4.897

Issue

Vol. 11 No. 3-4 (2019)

Section

Research Articles

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