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基于近圆参考轨道的假设,研究处于同一入轨点多颗卫星的编队捕获方法,首先由高斯型拉格朗日轨道摄动运动方程得到轨道坐标系中控制冲量与轨道根数偏差的关系,基于近圆轨道的条件简化并带入相对运动方程,得到控制冲量与相对运动的关系表达式;通过深入分析各个方向(径向、沿迹向与轨道面法向)的控制冲量对相对运动的影响,给出了分别用径向与轨道面法向控制冲量组合和沿迹向与轨道面法向控制冲量组合实现编队捕获的两种控制策略;最后给出了一个空间圆编队捕获实例,并从燃料消耗、施加冲量次数及捕获时间等角度对比研究了两种控制策略的特点．仿真结果表明,这两种控制策略简单、实用,能够较好地解决近圆轨道卫星编队的捕获问题．
Based on the assumption of near-circular reference orbit, a method of formation-capturing at multiple orbits at the same orbit is studied. Firstly, the relationship between the control impulse and the deviation of the number of orbits in the orbital coordinate system is obtained from Gaussian Lagrange orbit perturbation equation. Based on the condition of near circular orbit, the relative motion equation is simplified and brought into account. The relationship between the control impulse and the relative motion is obtained. By analyzing the relationship between the control impulse of each direction (radial, along-track and normal) The paper gives two control strategies to realize the formation capture by the combination of the normal control impulse combination of radial and orbital planes and the normal control impulse combination along the track and orbit planes respectively. Finally, a case of space round formation capture is given The characteristics of the two control strategies are compared in terms of fuel consumption, the number of impulsive impulses and the time of capture. The simulation results show that these two control strategies are simple and practical, which can well solve the acquisition of near-circular orbit satellite formation.