同一平面气动力辅助变轨的近似解及分析  

Approximate Solutions of the Optimal Aeroassisted Coplanar Transfer of Space Vehicle

作　　者：南英[1] 肖业伦[1] 陈士橹[2] 

机构地区：[1]北京航空航天大学宇航学院 [2]西北工业大学

出　　处：《北京航空航天大学学报》1998年第1期120-123,共4页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国家自然科学基金;航天科学基金

摘　　要：采用格林函数法，给出了同一平面气动力辅助变轨飞行的３种过程约束（气动加热率、动压、升力约束）条件之间关系的近似定量描述形成的飞行包络线．由此求解了航天器同时受３种约束条件时，各种性能指标下的同一平面气动力辅助变轨轨迹的近似解及相应的最优控制规律．文中对近似解与控制规律的内部结构作了细致的分析，得到了一些有益的结论．Green's theorem is employed to find the quantity relationship among the constraints of heating rate,dynamic pressure and lift in reentry flight.The paper deduced the approximate solution of the optimal aeroassisted coplanar trajectories under the three typical constraints.The performance index to be minimized are either heat input,the total dynamic pressure,time during the atmospheric flight,the time integral of the square of the path inclination;or maximize the time of flight during the atmospheric portion of the trajetory.An important conclusion is firstly obtained:under the three constraints above,the optimal aeroassisted coplanar transfers with the first forth kinds payoffs have the same optimal control laws.

关 键 词：航天器 轨道力学 最佳化 气动力变轨 近似解 

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]