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On the triangular equilibrium points in the photogravitational relativistic restricted three body problem

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Abstract

The photogravitational restricted three body within the framework of the post-Newtonian approximation is carried out. The mass of the primaries are assumed changed under the effect of continuous radiation process. The locations of the triangular points are computed. Series forms of these locations are obtained as new analytical results. In order to introduce a semi-analytical view, a Mathematica program is constructed so as to draw the locations of triangular points versus the whole range of the mass ratio μ taking into account the photogravitational effects and/or the relativistic corrections. All the obtained figures are analyzed. The size of relativistic effects of about.08 normalized distance unit is observed.

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Author notes

  1. F. A. Abd El-Salam

    Present address: Department of Mathematics, Faculty of Science, Taibah University, Al-Madinah, Saudi Arabia

  2. S. E. Abd El-Bar

    Present address: Department of Applied Mathematics, Faculty of Applied Science, Taibah University, Al-Madinah, Saudi Arabia

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

    S. E. Abd El-Bar

  2. Department of Astronomy, Faculty of Science, Cairo University, Cairo, 12613, Egypt

    F. A. Abd El-Salam

Authors
  1. F. A. Abd El-Salam
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  2. S. E. Abd El-Bar
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Correspondence to F. A. Abd El-Salam.

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Abd El-Salam, F.A., Abd El-Bar, S.E. On the triangular equilibrium points in the photogravitational relativistic restricted three body problem. Astrophys Space Sci 349, 125–135 (2014). https://doi.org/10.1007/s10509-013-1629-5

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  • DOI: https://doi.org/10.1007/s10509-013-1629-5

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