Computation of the Locations of the Libration Points in the Relativistic Restricted Three-Body Problem
S.E. Abd El-Bar1 & F.A. Abd El-Salam2 Show affiliations
- Department of Applied Math., Faculty of Applied Science, Taibah University, Al-Madeenah Al-Munawwarah, Saudi Arabia
- Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
American Journal of Applied Sciences, Volume 9, Issue 5, pp. 659–665 · doi.org/10.3844/ajassp.2012.659.665
Abstract
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.
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El-Bar, S. A. & El-Salam, F. A. (2012). Computation of the Locations of the Libration Points in the Relativistic Restricted Three-Body Problem. American Journal of Applied Sciences, 9(5), 659–665. https://doi.org/10.3844/ajassp.2012.659.665
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