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

الملخص EN

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 μ taking into account the photo-gravitational effects and/or the relativistic corrections.

Analyses of these figures are addressed.