同一平面气动力辅助变轨的近似解及分析

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.

Approximate Solutions of the Optimal AeroassistedCoplanar Transfer of Space Vehicle

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.