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本文研究了在共面圆轨道HEO-LEO的过程中,气动辅助轨道转移飞行器(AOTV)在大气内飞行的极小时间控制问题。应用Pontriagin极大值原理导出了AOTV在大气内飞行的极小时间控制规律。以AOTV从地球同步轨道向同平面500公里高度圆轨道过渡为例,大气密度采用US.62标准大气密度,仿真结果表明,按照极小时间控制规律,AOTV一次经过大气层进入LEO需要的特征速度增量仅为纯推力Hohmann转移所需特征速度增量的43.8%,大气内飞行的时间约20分钟。
In this paper, we study the minimal time control of AOTV flying in the atmosphere during the coplanar circular orbit HEO-LEO. The principle of Pontriagin maximum is used to derive the minimum time control law of AOTV flying in the atmosphere. Take the AOTV transition from geostationary orbit to a 500 km-high circular orbit in the same plane as an example, the atmospheric density adopts the standard atmospheric density of US.62. The simulation results show that according to the minimum-time control law, the characteristic velocity of the AOTV once entering the LEO through the atmosphere increases The amount is only 43.8% of the feature velocity increase required for pure thrust Hohmann transfer, and the flight time in the atmosphere is about 20 minutes.