Emphasizing Location of Collinear Equilibrium Points in the Generalized Photogravitational Elliptic Restricted Three Body Problem

Abstract

We attempted to find the location of collinear equilibrium points in the generalized photogravitational elliptic restricted three body problem. The problem is generalized in the sense that both the primaries are considered as oblate spheroids. By photogravitational we mean both primaries are radiating as well. We have found the solution for the location of collinear point L₁. We found that location of collinear point L₁ is affected by oblateness, eccentricity and radiation factor terms. Also, when these terms are neglected, we get the same terms as in classical elliptical restricted three body problem. The same method may be applied for the location of collinear points L₂ and L₃.