Computation of the Locations of the Libration Points in the Relativistic Restricted Three-Body Problem
- 1 Department of Applied Math., Faculty of Applied Science, Taibah University, Al-Madeenah Al-Munawwarah, Saudi Arabia
- 2 Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
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.
DOI: https://doi.org/10.3844/ajassp.2012.659.665
Copyright: © 2012 S.E. Abd El-Bar and F.A. Abd El-Salam. This is an open access article distributed under the terms of the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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Keywords
- Relativistic restricted three body problem
- location of the libration points
- classical limit