Locations of Lagrangian points and periodic orbits around triangular points in the photo gravitational elliptic restricted three-body problem with oblateness

  • Authors

    • Ancy Johnson Department of Aerospace EngineeringKarunya UniversityCoimbatore-641114Tamilnadu, India
    • Ram Krishan Sharma
    2019-09-04
    https://doi.org/10.14419/ijaa.v7i2.29377
  • Critical Mass, ER3BP, Oblateness, Oblate Spheroid, Lagrangian Points, Photogravitational, Radiation Pressure, Transition Curve, Tadpole Orbits.

  • Abstract

    Locations of the Lagrangian points are computed and periodic orbits are studied around the triangular points in the photogravitational elliptic restricted three-body problem (ER3BP) by considering the more massive primary as the source of radiation and smaller primary as an oblate spheroid. A new mean motion taken from Sharma et al. [13] is used to study the effect of radiation pressure and oblateness of the primaries. The critical mass parameter  that bifurcates periodic orbits from non-periodic orbits tends to reduce with radiation pressure and oblateness. The transition curves defining stable region of orbits are drawn for different values of radiation pressure and oblateness using the analytical method of Bennet [14]. Tadpole orbits with long- and short- periodic oscillations are obtained for Sun-Jupiter and Sun-Saturn systems.

     

     

    Author Biography

    • Ancy Johnson, Department of Aerospace EngineeringKarunya UniversityCoimbatore-641114Tamilnadu, India
      Professor

  • References

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      [8] Isravel, H. and Sharma, R. K. (2017). “Effect of Oblateness on Transition Curves in Elliptic Restricted Three-body Problemâ€. First International Conference on Recent Advances in Aerospace Engineering (ICRAAE). https://doi.org/10.1109/ICRAAE.2017.8297237.

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  • How to Cite

    Johnson, A., & Krishan Sharma, R. (2019). Locations of Lagrangian points and periodic orbits around triangular points in the photo gravitational elliptic restricted three-body problem with oblateness. International Journal of Advanced Astronomy, 7(2), 25-38. https://doi.org/10.14419/ijaa.v7i2.29377

    Received date: 2019-05-27

    Accepted date: 2019-08-23

    Published date: 2019-09-04