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

F.A. Abd El-Salam
Organization: Cairo University
Department: Department of Astronomy
S.E. Abd El-Bar
Organization: Tanta University
Department: Department of Mathematics
Journal / Anthology

Astrophysics and Space Science
Year: 2014
Volume: 349
Issue: 1
Page range: 125-135

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.

*Science > Physics > Astrophysics

Restricted three body problem, Relativistic, corrections, Photogravitational effects, Triangular points