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

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 a...

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Veröffentlicht in:Astrophysics and space science 2014, Vol.349 (1), p.125-135
Hauptverfasser: Abd El-Salam, F. A., Abd El-Bar, S. E.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0004-640X
1572-946X
DOI:10.1007/s10509-013-1629-5