Analytic Approximation Solutions of Lyapunov Orbits around the Collinear Equilibrium Points for Binary α-Centuari System: The Planar Case

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Jagadish Singh
Jessica Mrumun Gyegwe

Abstract

A third order analytic approximation solution of Lyapunov orbits around the collinear equilibrium in the planar restricted three-body problem by utilizing the Lindstedt Poincaré method is presented. The primaries are oblate bodies and sources of radiation pressure. The theory has been applied to the binary α-Centuari system in six cases. Also, we have determined numerically the positions of the collinear equilibrium points and shown the effects of the parameters concerned with these equilibrium points.

Keywords:
Approximate solutions, periodic orbit, RTBP.

Article Details

How to Cite
Singh, J., & Gyegwe, J. (2017). Analytic Approximation Solutions of Lyapunov Orbits around the Collinear Equilibrium Points for Binary α-Centuari System: The Planar Case. Journal of Advances in Mathematics and Computer Science, 22(1), 1-18. https://doi.org/10.9734/BJMCS/2017/33168
Section
Original Research Article