摘要
以变轨能量消耗最小为优化目标,应用极大值原理研究了飞行过程受热流限制和升力系数约束下的气动力辅助共面变轨问题。飞行过程分成第一自由弧段、约束弧段、第二自由弧段三个部分,讨论了升力系数的最优表达式,分析了飞行过程中两种约束的相互作用,给出了约束弧段起始位置的角点条件和终端的横截条件,对不同的初值选取方法讨论了三种计算策略,并给出了数值算例。
This paper studied minimum fuel coplanar orbital transfer with heat flow constraint and lift coefficient constraint by applying Pontryagin maximum principle. Flying arc is divided into three subarcs: first free, constrained and second free. The optimal expression of lift coefficient and relations between two constraints during flight are derived. Corner conditions at the beginning and the end of the constrained subarc, and the transverse conditions at the end of flight are also discussed. Three computational trajectories are proposed according to different selections of initial values.
出处
《上海航天》
1999年第4期6-11,共6页
Aerospace Shanghai
基金
国家自然科学基金
关键词
热流限制
气动力辅助变轨
极大值原理
优化
Heat flow constraint
Aero assisted orbital transfer
Maximum principle
Optimization