等质量立体五星库仑编队飞行的分析与控制

分析了立体五星编队在静电力和万有引力作用下的静态构型。分别讨论了五星编队在共线和平面情况下的静态构型，着重研究了五星构成立体双直角六棱锥构型时各个卫星所带的静电荷量。由于地球同步轨道的卫星所受到的作用力不仅是万有引力与静电库仑力，还有空气阻力等摄动力，因此只有对其施加控制，卫星才能在静态平衡点保持编队构型的稳定性。本文采用线性二次型最优控制方法来保持编队的静态构型稳定，并通过Matlab实现了五星立体库伦编队飞行控制仿真。

Analysis and Control for Three Dimensional Five Satellite Coulomb Formation Flight in geostationary earth orbit

The static configuration of five satellite formation in the geosynchronous orbit (GEO) under the gravity and electrostatic Coulomb force is analyzed. The collinear and planar configurations are discussed. The study is focused on the pyramid three-dimensional static configuration. The net charge of each satellite is calculated according to the charge condition and configuration conditions. Because satellites in geosynchronous orbit sufferboth gravitational force and electrostatic Coulomb force, as well as air resistance and other perturbations,the static configuration must be controlled in order to maintain the stability of the satellite formation in equilibrium point. The linear quadratic optimal control is used to sustain the stable five satellite 3-dimensional formation of the static configuration, and simulation is executed by using Matlab.