Computation of the Locations of the Libration Points in the Relativistic Restricted Three-Body Problem | Science Publications

American Journal of Applied Sciences

S. E.A. El-Bar¹  F. A.A. El-Salam¹ 

关键词: Relativistic restricted three body problem;    location of the libration points;    classical limit;   

DOI  :  10.3844/ajassp.2012.659.665

学科分类：自然科学（综合）

来源: Science Publications

【 摘 要 】

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 Y 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.

【 授权许可】

Unknown