平动点轨道演化性质分析和应用研究  

THE EVOLUTION CHARACTERIZATION OF LIBRATIN POINT ORBITS AND APPLICATION RESEARCH

作　　者：程潏[1,2] 袁建平[2] 罗建军[1,2] 

机构地区：[1]西北工业大学航天学院,西安710072 [2]航天飞行动力学技术重点实验室,西安710072

出　　处：《力学学报》2013年第5期763-771,共9页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金资助项目(11272255)~~

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.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 Poincare 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 Poincare maps, the initial state corresponding to different type of trajectory is quickly determined, which provides a fast and available design tool for specific mission.

关 键 词：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 

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]