https://doi.org/10.1140/epjp/i2015-15054-0
Regular Article
On the equilibrium point L1 in the photogravitational oblate relativistic R3BP with application on Sun-planet systems
1
Department of Applied Math, Faculty of Science, Taibah University, Al-Madinah, KSA
2
Department of Mathematics, Faculty of Science, Tanta University, 31527, Tanta, Egypt
* e-mail: f.a.abdelsalam@gmail.com
Received:
18
May
2014
Revised:
15
September
2014
Accepted:
14
February
2015
Published online:
27
March
2015
In the present article the effects of the relativistic, photogravitational and oblateness perturbations in restricted three-body problem, in brief R3BP are investigated. The relativistic effects and the dynamical shape of both radiant primaries are taken into account. The perturbed location of the collinear point L 1 is computed. Series forms of this location are obtained as new analytical results. In order to introduce a semi-analytical view, a mathematica code, using the Mathematica9 package software, is constructed so as to draw the location of collinear point L 1 versus the mass ratio μ ∈ (0, 0.5), taking into account one or more of the considered perturbations. All the obtained figures are analyzed. Some specific systems of R3BP formed of the Sun as the massive primary and a planet as the less massive primary are studied.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015