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在圆/近圆参考轨道下,依据含有J_2摄动的卫星相对运动动力学模型,提出将变化幅度较小的地心距及轨道倾角平均化,求解J_2摄动下卫星相对运动动力学模型,获得了适用于任意初始条件的、以相对位置和相对速度为变量的、解析形式的J_2摄动卫星相对运动方程。仿真结果表明,与经典CW方程相比,J_2摄动下卫星相对运动精度提升明显,证明了所提方法的合理性和准确性。
Under the orbital / near-circular reference orbit, based on the dynamics model of relative motion of satellites with perturbed J_2 perturbation, it is proposed to average the geocentric distances and orbital inclination with a small variation range, to solve the dynamic model of relative motion of satellites under J_2 perturbation, The relative motion equations of J_2 perturbation satellites in the analytic form with variables of relative position and relative velocity are obtained for any initial conditions. The simulation results show that compared with the classical CW equation, the relative motion accuracy of J 2 perturbed obviously, which proves the rationality and accuracy of the proposed method.