Analytic Approximation Solutions of Lyapunov Orbits around the Collinear Equilibrium Points for Binary -Centuari System: The Planar Case
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 22, Issue 1
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 -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.
Authors and Affiliations
Jagadish Singh, Jessica Mrumun Gyegwe
Keywords
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- EP ID EP322501
- DOI 10.9734/BJMCS/2017/33168
- Views 68
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