Restricted Three-Body Problem with Albedo effect when Smaller Primary is an Oblate Spheroid
Keywords:
restricted three-body problem, radiation pressure, albedo effect, libration points, stability
Abstract
The present paper deals with the existence and stability of libra- tion points in restricted three-body problem with Albedo effect when less mas- sive 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 investi- gated 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 < ? ? ?c where ?c = 0.0385208965 ... - (0.00891747 + 0.222579k) ? - 0.0627796 ? 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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Published
2017-03-15
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