The paper deals with the linear stability of the libration points in the restricted three body problem with variable mass when the smaller primary is an oblate spheroid. With the help of roots of the characteristic equation the nature of stability of libration points have been established. It is found that all the collinear libration points are unstable and triangular libration points are stable in linear sense.

Keywords: Restricted Three-Body Problem, Jean’s law, Space-Time-Transformation, Libration Points, Linear Stability.