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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.

Article Information
(1) Serkan Araci, Hasan Kalyoncu University, Turkey.
(1) Jagdish Prakash, University of Botswana, Botswana.
(2) Abdullah Sonmezoglu, Bozok University, Turkey.
Complete Peer review History: http://www.sciencedomain.org/review-history/18799


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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