A relative motion dynamics model based on the circular suspension orbit is established in this paper , we deduce the motion equations of second-order nonlinear perturbation in the C-W equation .Then the effect of nonlin-ear factors on the suspension orbit is analysed and studied based on the equations .Finally we present a method for implementing the second-order nonlinear perturbation correction of circular suspension orbit .The simulation results and their analysis show preliminarily that , under the condition of relative motion , the second-order nonlinear cor-rection of the circular suspension orbit can eliminate the long-term perturbation in the Y-bar direction and is , we believe , of some help in future research .%基于动力学原理，首先建立了圆形悬挂轨道的相对运动动力学模型，然后在C-W方程考虑非线性扰动情况下，推导出圆形悬挂轨道基于二阶非线性扰动的运动方程，分析研究了非线性因素对悬挂轨道的影响，并给出了具体的修正方法。仿真结果表明，基于相对运动条件下，对圆形悬挂轨道进行的二阶非线性修正消除了Y-bar方向上的长期扰动，为今后的研究奠定了理论基础。
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