2 articles for “Relativistic restricted three body problem”

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Research ArticleOpen accessEvery word in the titleComputation of the Locations of the Libration Points in the Relativistic Restricted Three-Body ProblemS.E. Abd El-Bar, F.A. Abd El-SalamProblem 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 … …American Journal of Applied Sciences, Vol. 9, Issue 5 · 29 Feb 2012 · 7,039 accessesView PDF Cite

Research ArticleOpen accessEvery word in the titleOn the Stability of the Triangular Lagrangian Equilibrium Points in the Relativistic Restricted Three-Body ProblemM. K. Ahmed, F.A. Abd El-Salam, S.E. Abd El-BarThe restricted three body problem is treated in the framework of the post-Newtonian approximation of general relativity. The equations of motion are linear zed around the libration points L4,5. Locations of the equilibrium points L4,5 are obtained. Existence and stability of these points are investigated. The relativistic correction to the classical mass ratio is determined. …American Journal of Applied Sciences, Vol. 3, Issue 9 · 30 Sep 2006 · 7,303 accessesView PDF Cite