A study of non-collinear libration points in restricted three body problem with stokes drag effect when smaller primary is an oblate spheroid

Abstract

The existence of non-collinear libration points and their stability (in linear sense) are examined in the circular restricted three body problem, in which we have considered the smaller primary as an oblate spheroid and bigger one a point mass including the effect of dissipative force specially Stokes drag. Two non-collinear libration points are found but they are unstable for the given range of dissipative constant \(k\) and oblateness factor \(A\) (i.e. \(0 < k < 1\) and \(0 < A < 1\) respectively). Stability of non-collinear libration points are discussed using a different analytical approach. We have also shown analytically the non-existence of collinear libration points due to effect of Stokes drag.

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Correspondence to Rajiv Aggarwal.

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Jain, M., Aggarwal, R. A study of non-collinear libration points in restricted three body problem with stokes drag effect when smaller primary is an oblate spheroid. Astrophys Space Sci 358, 51 (2015). https://doi.org/10.1007/s10509-015-2457-6

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Keywords

  • Restricted three body problem
  • Libration points
  • Oblateness
  • Linear stability
  • Dissipative forces
  • Stokes drag