基于共面圆轨道假设的木卫引力辅助捕获轨道设计  

Capture Trajectory Using Multiple Gravity Assists of Galilean Moons withCoplanar Circular Assumption

作　　者：孟雅哲 胡海霞[1,2] 郭建新[1,2] 韩冬[1,2] 孟斌[1,2] MENG Yazhe;HU Haixia;GUO Jianxin;HAN Dong;MENG Bin(Beijing Institute of Control Engineering,Beijing 100190,China;Science and Technology on Space Intelligent Control Laboratory,Beijing 100190,China)

机构地区：[1]北京控制工程研究所,北京100190 [2]空间智能控制技术重点实验室,北京100190

出　　处：《控制与信息技术》2023年第5期40-46,共7页CONTROL AND INFORMATION TECHNOLOGY

摘　　要：为得到木星赤道附近引力辅助捕获轨道的存在规律,文章假设伽利略木卫运行在共面圆轨道上,并在轨道平面上查找经连续多次引力辅助所捕获的航天器轨道。根据共面圆轨道的对称性并应用木卫相位差,可以计算出引力辅助时间窗口;而后通过轨道几何旋转,使得航天器位置和时间窗口吻合。文章通过分析设定引力辅助序列,遍历使得引力辅助后的航天器轨道与借力木卫轨道相交的入射速度,对每个入射速度进行广度优先搜索,确定各次引力辅助中相对速度的转角,得到连续引力辅助的最大次数和捕获效果。算例设定两种引力辅助序列,研究入射速度在11.5~12 km/s时,经过1~4次引力辅助,捕获轨道周期为0~200天的轨道的分布情况。搜索结果显示,各入射速度对应的捕获轨道最小周期均小于50天。此方法可提升引力辅助捕获轨道的设计效率。To determine the existence of gravity assist capture trajectories in the vicinity of Jupiter's equator,the paper assumes that the Galilean moons orbit in coplanar circles.Capture trajectories obtained by repeatedly using gravity assists are examined on the orbital plane.Due to the symmetry of coplanar circular orbits and applying phase differences between the moons,the gravity assist time windows can be calculated.Then,orbital geometry rotation is applied to match the spacecraft's position and the time windows.Through analyzing various gravity assist sequences and employing a breadth-first search strategy for each incoming velocity that intersects with the spacecraft's orbit post gravity assist,the rotation angles of relative velocity in each gravity assist are determined.This process helps estimate the maximum number of continuous gravity assists and their capture effects.The examples set two kinds of gravity assist sequences to study the distribution of capture orbits with periods ranging from 0 to 200 days,after 1 to 4 gravity assists,when the incoming velocity ranges from 11.5 to 12 km/s.The search results show that the minimum period of the capture orbits corresponding to each incoming velocity is less than 50 days,enhancing the design efficiency of gravity assist capture orbits.

关 键 词：引力辅助 伽利略木卫 共面圆轨道 广度优先搜索 

分 类 号：V412.4[航空宇航科学与技术—航空宇航推进理论与工程]