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Analytical and Semianalytical Treatment of the Collinear Points in the Photogravitational Relativistic RTBP

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  • S. E. Abd El-Bar
  • F. A. Abd El-Salam

Abstract

The problem of restricted three bodies is considered. The treatment is carried out within the framework of the post-Newtonian approximation. The primaries also are assumed to be radiant sources. The locations of the collinear points are computed. Series forms of these locations are obtained as new results. A Mathematica program is constructed so as to draw the locations of collinear points versus the whole range of the mass ratio taking into account the photo-gravitational effects and/or the relativistic corrections. Analyses of these figures are addressed.

Suggested Citation

  • S. E. Abd El-Bar & F. A. Abd El-Salam, 2013. "Analytical and Semianalytical Treatment of the Collinear Points in the Photogravitational Relativistic RTBP," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-17, September.
    • Handle: RePEc:hin:jnlmpe:794734
    DOI: 10.1155/2013/794734
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