Effect of elliptic angle φ on the existence and stability of libration points in restricted three-body problem in earth-moon system considering earth as an ellipsoid

 
 
 
  • Abstract
  • Keywords
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  • Abstract


    This paper deals with the existence and the stability of the earth-moon libration points in the restricted three-body problem. In this paper we have considered the bigger primary as an ellipsoid while the smaller one as a point-mass. This is observed that the collinear and non-collinear libration points exist only in the interval 0˚<φ < 45˚. There exist three collinear libration points and the non-collinear libration points are forming a right triangle with the primaries. Further observed that the libration points either collinear or non-collinear all are unstable in 0˚<φ < 45˚.


  • Keywords


    Restricted Three-Body Problem; Libration Points; Linear Stability; Elliptic Integrals; Newton-Raphson Method.

  • References


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Article ID: 5313
 
DOI: 10.14419/ijaa.v3i2.5313




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