Photogravitational restricted three-body problem with variable mass

The photogravitational restricted three-body problem with variable mass has been studied. The problem is photogravitational in the sense that the more massive primary is a source of radiation and the variable that the mass of the third body varies with time. It has been seen that the equations of motion of the problem differ from the equations of the classical, restricted problem by additional terms. The triangular points form ordinary triangles with the primaries and the collinear points remain collinear and lie on the line joining the primaries. The triangular points are stable for 0<mu<mu(C) and unstable for mu(c)<mu<1/2 where the critical value of the mass parameter mu(c) depends upon the radiation factor q(1) ans beta the constant due to the variation in mass governed by Jeans law. It is further seen that the collinear points are in general unstable.