A Study of Libration Points in Modified CR3BP Under Albedo Effect when Smaller Primary is an Ellipsoid

Abstract

As we know that the Sun is a source of radiation in our solar system, the other planets or asteroids absorb some of the radiations incident on it and some reflected back into the space, these reflected radiations are called Albedo. The spacecraft is affected by both radiations i.e direct radiations as well as albedo. In this paper this is investigated how albedo perturbed the libration points and its stability in restricted three-body problem when less massive primary is an ellipsoid? 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 μ≤μ c , where μ c= 0.0385208965 …− (0.00891747 + 0.222579k) α– 0.02206859 σ 1 – 0.04071097 σ 2 but collinear libration points are still unstable. Also, an example of Sun-Earth system is taken in the last as a real application.