Restricted Three-Body Problem with Albedo effect when Smaller Primary is an Oblate Spheroid
restricted three-body problem, radiation pressure, albedo effect, libration points, stability
Abstract
The present paper deals with the existence and stability of libration points in restricted three-body problem with Albedo effect when less massive primary is an oblate spheroid. Since, the spacecraft is affected by both radiations i.e radiation pressure as well as Albedo. In this paper this is investigated how Albedo perturbed the libration points and its stability? It is found that there exist five libration points, three collinear and two non-collinear, the non-collinear libration points are stable for a critical value of mass parameter 0< μ < μ c where μ c = 0.0385208965 ... -(0.00891747 + 0.222579k) α -0.0627796 σ but collinear libration points are still unstable. Also, an example of Sun-Earth system is taken in the last as a real application.
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2017-08-24
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