Abstract: According to the analysis of satellite orbit dynamics,the mathematic description of the trajectory tracking control problem is formulated based on the state space representation of trajectory tracking control systems.A parametric approach is proposed for the satellite trajectory tracking problem by using the eigenstructure assignment theory and the model reference theory of linear systems.A feedback stabilizing controller and a feed-forward tracking controller are built.The designed controllers are applied to the satellite control system and simulation results are given under the hovering over and flying around command signals,which show the effect of the proposed method.

Key words: satellite trajectory tracking, parametric approach, model reference, flying around