【作者】 尚海滨； 崔平远； 栾恩杰；

【Author】 Shang Haibin , Cui Pingyuan , Luan Enjie Deep Space Exploration Research Center, Harbin Institute of Technology, Harbin 150001 Commission of Science Technology and Industry for National Defence, Lunar Exploration Engineering Center, Beijing 100080

【机构】 哈尔滨工业大学深空探测基础研究中心； 国防科工委月球探测工程中心；

【摘要】 小推力轨道的优化问题一直是小推力技术研究中的重点和难点。本文针对燃料最省小推力轨道转移问题,基于平均化方法推导了一组解析控制律。首先对航天器运动方程进行变量代换,将方程中的小参量分离;然后利用平均化方法,通过积分运算对变换后的运动方程进行平均化处理,然后并结合庞德里亚金最大值原理,得到了最优控制律的解析表达式。最后,本文利用该方法优化了从低轨道到高轨道的燃料最省小推力转移。更多还原

【Abstract】 Optimization of low-thrust transfer trajectory is one of the most difficult problems in low-thrust technique research. In this paper, based on the averaging method, an analytical control law has been developed for optimal-fuel transfer trajectory. Firstly, the small parameters have been divided from the motion equation by variable substitution. Secondly, averaging method is utilized to calculate the increment of orbital parameters in an orbital period by integral operation, then based on the pontryagin’s theory, the analytical control law is presented. Finally, numerical result is presented for optimal - fuel mission transfer from LEO to GEO.更多还原