能量最省有限推力同平面轨道转移  

MINIMUM FUEL ORBIT COPLANAR TRANSFERS WITH FINITE THRUST

作　　者：王明春[1] 荆武兴[1] 杨涤[1] 吴瑶华[1] 

机构地区：[1]哈尔滨工业大学航天学院

出　　处：《宇航学报》1992年第3期24-31,共8页Journal of Astronautics

摘　　要：本文从能量最省的角度应用极大值原理对空间飞行器采用有限推力同平面轨道转移的情况进行了分析和研究,得到了最优转移轨道及最优控制的求解条件。为了减少在解决两点边值问题时因伴随变量带来的困难,讨论了避免直接应用横截条件的非线性规划方法。并利用伴随变量与控制变量的转换关系,用控制变量的初始值来代替伴随变量的初始值,使得迭代初值具有物理意义而容易选取。应用这一思想给出了计算实例。This paper is concerned with analysis and study of minimum fuel coplanar transfer with finite thrust by applying Pontryagin maximum principle. The solution conditions for optimal trajectories and optimal controls are concerned. In order to reduce some difficulties involved in solving a two -point boundary value problem via adjoint variables, we discuss a non-linear programming method in which the direct use of transversality conditions is avoided. In this method according to the 'adjoint-control' transformations the initial value of control variables is instead of the initiial value of adjoint variables. It makes the initial iterative variable more practical and easy to be determined.

关 键 词：轨道转移 有限推力转移 极大值原理 

分 类 号：V412.41[航空宇航科学与技术—航空宇航推进理论与工程]