TY  - JOUR
AU  - El-Bar, S.E. Abd 
AU  - El-Salam, F.A. Abd 
PY  - 2012
TI  - Computation of the Locations of the Libration Points in the Relativistic Restricted Three-Body Problem
JF  - American Journal of Applied Sciences
VL  - 9
IS  - 5
DO  - 10.3844/ajassp.2012.659.665
UR  - https://thescipub.com/abstract/ajassp.2012.659.665
AB  - Problem statement: In this study, the effects of Relativistic Restricted three-Body Problem (in brief RRTBP) on the equilibrium points of both triangular and collinear is considered. The approximate locations of the collinear and triangular points are determined. Series expansions are used to develope in µ and 1/c2 as small parameters. To check the validity of our solution, when ignoring 1/c2 terms we get directly the classical results of the restricted three-body problem. Conclusion/Recommendations: A MATHEMATICA program is constructed to give a numerical application of the relativistic perturbations in the locations of the equilibrium points of the three body problem.