Abstract
In this paper this is investigated how albedo perturbed the libration points from its original position? It is found that there exist five libration points, three collinear and two non-collinear and all the libration points are affected by Albedo. The non-collinear libration points are stable for a critical value of mass parameter µ ≤ µc, where µc = µo − (0.00891747 + 0.222579k)α (µo is the critical mass parameter for classical case) but collinear libration points are still unstable.
Highlights
The restricted three-body problem is one of well known problem in the field of celestial mechanics in which two finite bodies called primaries move around their center of mass in circular or elliptic orbits under the influence of their mutual gravitational attraction and a third body of infinitesimal mass is moving in the plane of the primaries which is attracted by the primaries and influenced by their motion but not influencing them
The collinear libration points L1, L2 and L3 are unstable for 0 ≤ μ ≤ 1⁄2 and the non collinear libration points L4,5 are stable for a critical value of mass parameter μ < μc = 0.03852...., Szehebely [2]
The existence and stability of libration points in circular restricted three-body problem has been studied under Albedo effect
Summary
The restricted three-body problem is one of well known problem in the field of celestial mechanics in which two finite bodies called primaries move around their center of mass in circular or elliptic orbits under the influence of their mutual gravitational attraction and a third body of infinitesimal mass is moving in the plane of the primaries which is attracted by the primaries and influenced by their motion but not influencing them. He has considered only the central forces of gravitation and radiation pressure on the particle of infinitesimal mass without considering the other two components of light pressure field and studied this problem for three specific bodies; the Sun, a planet and a dust particle. V. Ershkov [46] studied the Yarkovsky effect in generalized photogravitational 3body problem and proved the existence of maximally 256 different non-planar equilibrium points when second primary is nonoblate spheroid. In this paper the Albedo effect on the existence and stability of the libration points when smaller primary is a homogeneous ellipsoid has been studied. In section-4, the stability of non-collinear and collinear libration points is discussed.
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