J2摄动下编队构形保持脉冲控制方法

针对卫星编队轨道构形在J2摄动干扰作用下被破坏的问题，给出了两种构形保持脉冲控制策略。首先，分析J2摄动对编队卫星相对轨道要素的影响，即J2摄动使相对升交点赤经、近地点辐角和平近点角产生长期漂移。然后，结合高斯摄动方程，分别设计了切向加法向脉冲和径向加法向脉冲两种控制方法修正从星升交点赤经、近地点辐角和平近点角的偏差，从而实现卫星编队的构形保持。数值仿真结果表明，两种方法都能够有效地修正编队构形偏差，且采取切向加法向脉冲的构形修正方式更有利于节省燃料消耗。

Impulsive Control Approach for Formation Keeping under J2 Perturbation

Two impulsive control strategys for formation keeping were put forward with regard to the problem that satellites formation could be destroyed under J2 perturbation. First, the influence of J2 perturbation to relative orbit elements of satellites formation was analysed. Namely, under the action of J2 perturbation, relative right ascending node, argument of perigee and mean anomaly of satellites formation will drift secularly. After that, two methods of exerting tangent with normal direction impulsive control and exerting radial with normal directin impulsive control were designed separately to correct the follower satellite's right ascending node, argument of perigee and mean anomaly error, through which the purpose of formation keeping was achieved. Mathematical simulation results show that these two approaches can both correct formation error effectively. In addition, taking the approach of exerting tangent with normal direction impulsive control is more beneficial for us to save fuel consumption.