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

  • Authors

    • M Javed Idrisi School of Physical and Molecular SciencesDepartment of MathematicsAl-Falah UniversityFaridabad (Haryana) - 121004
    • Muhammad Amjad School of Physical and Molecular SciencesDepartment of MathematicsAl-Falah UniversityFaridabad (Haryana) - 121004
    2015-10-09
    https://doi.org/10.14419/ijaa.v3i2.5313
  • Restricted Three-Body Problem, Libration Points, Linear Stability, Elliptic Integrals, Newton-Raphson Method.

  • 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˚.

  • References

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  • How to Cite

    Idrisi, M. J., & Amjad, M. (2015). 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. International Journal of Advanced Astronomy, 3(2), 87-96. https://doi.org/10.14419/ijaa.v3i2.5313

    Received date: 2015-09-11

    Accepted date: 2015-10-04

    Published date: 2015-10-09