Trajectory and stability of Lagrangian point L _2 in the Sun-Earth system

摘要

This paper describes design of the trajectory and analysis of the stability of collinear point L_2 in the Sun-Earth system. The modified restricted three body problem with additional gravitational potential from the belt is used as the model for the Sun-Earth system. The effect of radiation pressure of the Sun and oblate shape of the Earth are considered. The point L_2 is asymptotically stable up to a specific value of time t correspond to each set of values of parameters and initial conditions. The results obtained from this study would be applicable to locate a satellite, a telescope or a space station around the point L_2.