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

Authors

DOI:

https://doi.org/10.26713/jims.v14i1.1947

Abstract

This paper deals with the motion of oblate infinitesimal mass around the triaxial primaries in the framework of elliptical restricted three body problem. The triaxial primaries are moving around each other in elliptic orbits about the common barycentre and the oblate infinitesimal is moving in the neighbourhood of collinear equilibrium points. It is observed that location and stability of the oblate infinitesimal around the collinear points are affected by the triaxiality of primaries.\ Furthermore, the results shown that the behaviour of infinitesimal mass around the collinear points \(L_1\) and \(L_2\) are unstable, while the behaviour of infinitesimal mass around \(L_3\) is shown stable for some parameters of triaxiality of primaries.

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Published

2022-12-30
CITATION

How to Cite

Dewangan, S., Duggad, P. ., & A. Narayan. (2022). Effects of Triaxiality of Primaries on Existence and Stability of Collinear Equilibrium Points in Elliptical Restricted Three Body Problem. Journal of Informatics and Mathematical Sciences, 14(1), 21–36. https://doi.org/10.26713/jims.v14i1.1947

Issue

Vol. 14 No. 1 (2022)

Section

Research Articles

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