Restricted three-body problem with stokes drag effect when less massive primary is an ellipsoid

Authors

  • M Javed Idrisi School of Physical and Molecular SciencesDepartment of MathematicsAl-Falah UniversityFaridabad (Haryana) - 121004
  • Mamta Jain Department of Mathematics, Shri Venkateshwara University, U.P. – 244236

DOI:

https://doi.org/10.14419/ijaa.v4i1.6140

Published:

2016-05-27

Keywords:

Restricted Three Body Problem, Libration Points, Linear Stability, Stokes Drag.

Abstract

The present paper deals with the effect of Stokes drag force on the existence and stability of collinear and non-collinear libration points in circular restricted three-body problem when less massive primary is an ellipsoid. During the investigation, it is found that there exist five libration points Li (i = 1, 2… 5) out of which three are collinear and two are non-collinear. We observed that the Stokes drag force does not affect the collinear libration points while non-collinear libration points are affected by it and all the libration points either collinear or non-collinear are unstable in Lyapunov sense for the given range of dissipative constant k and mass parameter µ.

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