https://doi.org/10.1140/epjp/i2015-15234-x
Regular Article
On the collinear point L3 in the generalized relativistic R3BP
1
Department of Mathematics, Faculty of Science, Taibah University, Madina, Kingdom of Saudi Arabia
2
Department of Astronomy, Faculty of Science, Cairo University, 12613, Cairo, Egypt
3
Department of Mathematics, Faculty of Science, Tanta University, 31527, Tanta, Egypt
* e-mail: f.a.abdelsalam@gmail.com
Received:
22
May
2014
Accepted:
11
October
2015
Published online:
23
November
2015
The photogravitational oblate restricted three-body problem is carried out within the post-Newtonian framework. The primaries are assumed to be oblate as well as radiant sources. The perturbed location of the collinear point is computed. A series form of location is obtained as a new analytical results. In order to introduce a semi-analytical view, a Mathematica program is constructed so as to draw the locations of collinear point versus the mass ratio taking into account one or more of the considered perturbations. All the obtained figures are analyzed.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015