Existence of Libration Points in the Photogravitational Elliptic Restricted Three Body Problem | Abstract

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Existence of Libration Points in the Photogravitational Elliptic Restricted Three Body Problem

Abstract

In this paper we study the effects of eccentricity, oblateness and effects due to radiation pressure on the location of Lagrangian equilibrium points of the elliptical restricted three body problem. We investigate the location of triangular equilibrium points and collinear points under the effects of photo-gravitational and the oblateness of primaries, i.e. both of the primaries are considered to be oblate spheroid and the source of radiation. We have found the solution for all five Lagrangian points. We find that the locations of the equilibrium points are affected by oblateness, radiation factor and eccentricities of both the primary and the secondary bodies.

K.V. Ravi Kumar, S.N. Hasan