近拱点映射在平动点轨道设计中的应用研究  

Application research of periapse Poincaré map in the design of trajectory of libration point orbit

作　　者：殷毅[1] 袁建平[1] 方群[1] 

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

出　　处：《电子设计工程》2014年第9期5-10,共6页Electronic Design Engineering

基　　金：国家自然科学基金(11272255)

摘　　要：基于在限制性三体问题轨道初步设计中能够提供潜在有效可行的低能轨道,针对平面圆型限制性三体问题,通过采用近拱点庞加莱映射,研究较小主天体P2附近的平动点轨道特性;利用近拱点演化结构对轨道类型进行了区分,获得具有特定设计特征的轨道。结合自由时间的多点打靶微分修正法进行了近似零消耗的同宿和异宿轨道连接;首次对顺行条件和逆行条件下的初始转移状态进行了研究,并分析了转移轨道和准周期轨道形成的理论机理。本文为特定任务轨道设计提供一种高效可行的方法。In order to offer potentially flexibility and effectively low-energy transfer orbit in the restricted problem of three-body preliminary trajectory design,within the context of the planar circular restricted three-body problem in this paper,to introduce the periapse Poincaré map,the nature of libration point orbit in the vicinity of the smaller primary P2 is discussed,and identified characteristics of orbit type in terms of the propagated periapse structures in the vicinity of smaller primary,the special desired characteristics arcs for trajectory design have obtained.Utilize a Variable-time Multiple Shooting Algorithm based on Differential Correction,the maps have been used for the research of homoclinic connection and heteroclinic connection design,obtained nearly zero-consumption trajectory; the initial transit state has been studied both in prograde and retrograde conditions,the formed reason of transit orbit and Lissajours orbit has analyzed in theory.This research provided a tool for the methodical design of trajectories with desired characteristics.

关 键 词：圆型限制性三体问题 轨道设计 近拱点庞加莱映射 同宿连接 异宿连接 转移轨道 

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]