Abstract: The coupling between spacecraft attitude and orbit movement in an integrated model based on the spiral theory was analyzed.The method parameters analysis method was used,which changed the coupling parameters successively,to get the curves and the laws of coupling terms.The validity of theoretical analysis was proved.To verify the coupling impact on the control effect,the control law was designed.The result shows that the coupling seriously affects the attitude and the orbit of relative motion,and the attitude influences the orbit motion a lot,and can converge easily,while the orbit has little effect on the attitude.

Key words: Spiral theory, Parametric analysis, Dual quaternion, Attitude and orbit coupling