Existence of Resonance Stability of Triangular Equilibrium Points in Circular Case of the Elliptical Restricted Three-Body Problem Under Radiating and Triaxial Primaries

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.v10i3.822

Keywords:

ER3BP, , Triangular Libration Points, Resonance, MATLAB 2016

Abstract

The linear stability of the triangular librations points is studied in the presence of resonance considering both the primaries as radiating and triaxial. 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 circular case.

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Published

2018-09-30
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How to Cite

Pandey, K. K., Narayan, A., & Shrivastava, S. K. (2018). Existence of Resonance Stability of Triangular Equilibrium Points in Circular Case of the Elliptical Restricted Three-Body Problem Under Radiating and Triaxial Primaries. Journal of Informatics and Mathematical Sciences, 10(3), 515–532. https://doi.org/10.26713/jims.v10i3.822

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Research Articles