平动点轨道演化性质分析和应用研究

程潏; 袁建平; 罗建军

doi:10.6052/0459-1879-12-353

平动点轨道演化性质分析和应用研究

doi: 10.6052/0459-1879-12-353

西北工业大学航天学院, 西安 710072
航天飞行动力学技术重点实验室, 西安 710072

基金项目: 国家自然科学基金资助项目(11272255).

详细信息

通讯作者:
程潏,博士研究生,主要研究方向:航天器动力学与控制、深空探测.E-mail:cheng23yu@126.com

中图分类号: V412.4+1
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出版历程
- 收稿日期: 2012-12-11
- 修回日期: 2013-01-16
- 刊出日期: 2013-09-18

THE EVOLUTION CHARACTERIZATION OF LIBRATIN POINT ORBITS AND APPLICATION RESEARCH

School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China
National Key Laboratory of Aerospace Flight Dynamics, Xi'an 710072, China

Funds: The project was supported by the National Natural Science Foundation of China (11272255).

摘要

摘要: 三体问题中, 轨道的受力和运动规律非常复杂. 对于特定的任务, 如何选择轨道的初始解是一大难题.针对平面三体问题, 利用近拱点庞加莱映射, 对平动点顺行轨道和逆行轨道的长期和短期演化性质进行分析.根据轨道的初始状态将其分为逃逸轨道和捕获轨道.对于逃逸轨道, 给出了同宿轨道和异宿轨道的设计方法, 并利用两级微分修正法消除了拼接点处的位置不连续问题.对于捕获轨道, 得到了几类典型的周期和准周期轨道.对逆行轨道的演化性质进行分析时发现, 逆行轨道通常为准周期轨道, 比顺行轨道更加稳定.利用近拱点庞加莱映射可以快速确定不同类型轨道对应的初始状态, 为特定任务需求下的轨道设计提供了一种快速而有效的选择方案.
- 近拱点庞加莱映射 /
- 平动点轨道 /
- 逃逸轨道 /
- 捕获轨道 /
- 两级微分修正法
Abstract: In the context of three-body problem, the behavior of trajectory in the vicinity of the smaller primary is difficult to predict because of the complicated gravity. The most challenging problem in preliminary design is to effectively select an appropriate initial solution. The periapsis Poincaré maps are applied to analyze the short-term and long-term behaviors of libration point orbits in planar three-body problem. The design space is significantly reduced and classified into escape and capture regions according to the periapse location. For short-term escape orbit, the homoclinic and heteroclinic trajectory design methods are present, and two-level differential correction is utilized to solve the position discontinuity problem at the patch point. For the long-term capture trajectory, several typical periodic and quasi-periodic orbits are achieved. Furthermore, the prograde trajectory is usually quasi-periodic, and proves much more stable than retrograde trajectory. With the application of periapsis Poincaré maps, the initial state corresponding to different type of trajectory is quickly determined, which provides a fast and available design tool for specific mission.
- periapsis Poincaré maps /
- libration point orbits /
- escape trajectory /
- capture trajectory /
- two-level differential correction

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参考文献(19)

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