三维引力辅助解析分析方法研究

贾建华; 王琪

doi:10.6052/0459-1879-12-267

三维引力辅助解析分析方法研究

doi: 10.6052/0459-1879-12-267

贾建华^,,
王琪

北京航空航天大学航空科学与工程学院, 北京100191

基金项目: 国家自然科学基金资助项目(10832004).

详细信息

通讯作者:
贾建华,博士生,主要研究方向:引力辅助技术、航天器轨道设计与优化.E-mail:jjh19870911@163.com

中图分类号: V41
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- 被引次数: 0
出版历程
- 收稿日期: 2012-09-27
- 修回日期: 2013-03-17
- 刊出日期: 2013-05-18

AN ANALYTICAL STUDY OF GRAVITY ASSIST IN THREE DIMENSIONS

Jia Jianhua^,,
Wang Qi

School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

Funds: The project was supported by the National Natural Science Foundation of China (10832004).

摘要

摘要: 针对星际探测中的引力辅助技术,基于二体问题,导出了三维引力辅助前后飞行器速度、能量、角动量和轨道倾角与引力辅助参数之间的解析公式. 以进行木星引力辅助为例,将解析公式计算的结果与基于圆型限制性三体问题的数值仿真结果进行了对比,各项绝对误差小于0.01,除极少数情况外,相对误差均小于0.7%. 分析结果表明导出的解析公式与实际情况对比具有较高的精度,可以满足引力辅助轨道初步设计的需要. 为了讨论和应用上的方便,对导出的公式进行了简化,据此进一步讨论了引力辅助参数对引力辅助效果的影响.
- 三维引力辅助 /
- 解析公式 /
- 二体问题 /
- 限制性三体问题
Abstract: New analytical equations are derived for the three-dimensional gravity assist based on the patched conics model, including the variations in velocity, angular momentum, energy and inclination of the spacecraft due to the gravity assist. The equations developed here are verified by numerical integrations, using the circular restricted three-body problem, showing a good agreement better than 0.01. The results predicted by these analytical equations and the results computed by the numerical method differ by less than 0.7% under most conditions. This is a good indication that the analytical equations are good approximations and can be used for preliminary mission design. The influence of the parameters on the orbit of spacecraft is discussed based on the simplified equations which are the approximations of the above equations.
- gravity assist in three dimensions /
- analytical equations /
- two-body problem /
- restricted three-body problem

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