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British Journal of Mathematics & Computer Science

British Journal of Mathematics & Computer Science, ISSN: 2231-0851,Vol.: 22, Issue.: 1


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


Jagadish Singh1 and Jessica Mrumun Gyegwe2*

1Department of Mathematics, Ahmadu Bello University, Zaria, Nigeria.

2Department of Mathematical Sciences, Federal University Lokoja, Lokoja, Kogi State, Nigeria.




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.


Full Article - PDF    Page 1-18    Article Metrics


DOI : 10.9734/BJMCS/2017/33168

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