编队重构的双脉冲燃料最优控制

基于Hill方程导出了四种典型编队重构的双脉冲控制算法，并揭示了编队重构时具有如下性质：椭圆编队膨胀或收缩时，在燃料最优脉冲作用下伴随卫星期望的相对位置矢量与同一时刻不施加冲量时的相对位置矢量方向相同；不同膨胀系数时施加脉冲的时刻不变，最优的燃料消耗与膨胀变化量成正比；钟摆式编队膨胀时转移轨迹在参考轨道平面内是轴对称的。最后用仿真验证了算法的有效性。

Double Impulse Fuel-Optimal Control for Formation Reconfiguration

Two-impulse control algorithms were suggested for four typical formation reconfigurations based on the Hill's equations and the following conclusions were proved.First,under the fuel-optimal impulse control scheme of the elliptical formation expansion,the direction of the desired relative position vector is the same as that of the same instant without using impulses.Second,the initial point and transfer time are same for different object relative orbit,and the minimum consumption of fuel is proportional to the expansion deflection.Third,the in-plane transfer trajectory is axisymmetric when the pendulum formation is expanding.The effectiveness of these presented algorithms was verified by the simulation results.