Dynamics in the circular restricted three body problem with perturbations

  • Authors

    • Abdullah Abduljabar Ansari Majmaah University
    • Mehtab Alam Hamdard University
    2017-02-08
    https://doi.org/10.14419/ijaa.v5i1.7102
  • Restricted Problem, Variable Masses, Oblate Body, Solar Radiation Pressure, Zero Velocity Curves, Poincare Surface of Sections.

  • Abstract

    This paper presents the dynamics in the restricted problem with perturbations i.e. the circular restricted three body problem by considering one of the primaries as oblate and other one having the solar radiation pressure and all the masses are variable (primaries and infinitesimal body). For finding the autonomized equations of motion, we have used the Meshcherskii transformation. We have drawn the libration points, the time series, the zero velocity curves and Poincare surface of sections for the different values of the oblateness and solar radiation pressure. Finally, we have examined the stability and found that all the libration points are unstable.

  • References

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  • How to Cite

    Abduljabar Ansari, A., & Alam, M. (2017). Dynamics in the circular restricted three body problem with perturbations. International Journal of Advanced Astronomy, 5(1), 19-25. https://doi.org/10.14419/ijaa.v5i1.7102

    Received date: 2016-12-14

    Accepted date: 2017-01-11

    Published date: 2017-02-08