基于逆向地月转移的月地入射控制方法  

Trans-Earth insertion method based on the reversed Earth-to-Moon transformation

作　　者：刘勇[1,2] 曹鹏飞 马传令 陈莉丹[1,2] LIU Yong;CAO PengFei;MA ChuanLing;CHEN LiDan(Beijing Aerospace Flight Control Center,Beijing 100094,China;Aerospace Flight Dynamics Laboratory,Beijing 100094,China)

机构地区：[1]北京航天飞行控制中心,北京100094 [2]航天飞行动力学技术重点实验室,北京100094

出　　处：《中国科学：物理学、力学、天文学》2021年第11期11-21,共11页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金(编号:11773004);装备预研重点实验室基金(编号:6142210190105);探月工程重大专项资助项目。

摘　　要：月地转移是地月转移的相反过程,本文提出以再入点参数修正近月点B平面参数的逆向月地转移轨道计算方法,然后利用月地转移轨道与环月轨道求交线和近月点高度等比修正的方法得到月地入射参数,并根据速度增量最小条件推导了月地入射最优倾角的解析解,通过倾角遍历证明了解析解的正确性.基于月地转移轨道的升交点经度给出了入射窗口初值的解析公式.在脉冲月地入射参数的基础上,给出了有限推力下的月地入射参数计算方法,特别是给出了最优俯仰角的解析公式.最后以一条环月轨道为初始轨道计算了月地入射参数,分析了月地入射参数的规律,得出偏航角为0入射速度增量不一定最小的结论,并证明了文章给出的解析计算方法的最优性.The Moon-to-Earth transformation is the reversed procession of the Earth-to-Moon transformation. Thus, the trans-Earth insertion method based on reversing the Earth-to-Moon transformation is proposed. The trans-Earth insertion is obtained by using the intersection of the low lunar orbit and Moon-to-Earth transformation orbit and adjusting the scale for the height of the low lunar orbit’s perigee. The optimal inclination of the trans-Earth insertion orbit is analytically obtained by minimizing the velocity increment and is proven by numerical searching. Based on the pulse results, the finite-force control parameter is also proposed for determining the optimal pitch angle. Finally, the trans-Earth insertion parameter is calculated by using a low lunar orbit, and the minimized velocity increment is found to not always be present for instances when the yaw angle is zero.

关 键 词：逆向 地月转移 月地入射 轨道控制 解析解 

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]