形成三星星座的小推力变轨的时间最短控制

在研究和发展星座技术中，星座的发射是一项关键技术。本文针对形成三星星座，利用最优控制中的极小值原理，解算了用恒值、连接工作、牛顿级小推力变轨的时间最短控制问题。文中建立了最优小推力变轨的数学模型，求得了最优变轨的解析解，并通过牛顿下山法求解了三星星座变轨的小推力工作最优时间、最优方向和最优变轨轨迹。最后对星座变轨小推力最优控制工程实现的途径进行了探讨。为工程应用和研究提供参考。

OPTIMAL TIME CONTROL OF LOW-THRUST ORBIT TRANSFER FOR MAKING THREE-STATELLITE CONSTELLATION

In research and develop of satellite constellation,the launching is one of the key technologies.In the paper,considering three satellite constellation,optimal time control of orbit transfer with constant value,continue working and Newton grade thrust is studied,by means of Minimum Principle in optimal control theory.The mathematical model of optimal time control of low thrust orbit transfer is founded,the optimal analytic solutions are got,in further,the optimal time and directory of orbit transfer low thrust and the optimal transfer trajectories are solved with Newton iterated method.In addition,engineering method of optimal control of orbit transfer thrust is discussed.All of above give the references for engineering and study application.