Halo轨道族延拓方法及特性研究  

Kinetic Characteristics and Continuation Algorithm of Periodic Families

作　　者：刘磊[1,2] 刘勇[1,2] 曹建峰[1,2] 唐歌实[1,2] 胡松杰[1,2] 

机构地区：[1]航天飞行动力学技术重点实验室,北京100094 [2]北京航天飞行控制中心,北京100094

出　　处：《中国空间科学技术》2013年第1期30-36,共7页Chinese Space Science and Technology

基　　金：国家自然科学基金(11203003);国家863计划(2011AA7034057G)资助项目

摘　　要：对Halo轨道周期和运动范围等特性的研究是平动点任务设计的首要前提。针对大幅值Halo轨道和完整Halo轨道族的应用需求及其数值计算问题,面向当前应用广泛的地月系和日-地月系共线平动点,基于延拓法研究了圆型限制性三体问题下的Halo轨道族数值计算和运动学特性,给出了Halo轨道族延拓计算方法。数值仿真了族参数选择对轨道族计算的影响,得到了地月系和日-地月系共线平动点的大范围南北Halo轨道族,同时给出了轨道族的轨道周期变化和空间位置变化特性。研究结果表明,固定延拓步长下,L1点Halo轨道族应选择会合坐标系x坐标作为族参数,L2点Halo轨道族应选择y方向速度或者周期T作为族参数。方法适用于任意三体系统平动点的周期轨道族计算,特别是对其中的状态转移矩阵简单修改后可用于完整力模型下的Halo轨道(族)的数值设计。Study on halo orbit period and scope of kinetic characteristics is the premise of halo orbit applications. For the applications and some numerical issues on a big halo orbit and a whole halo family, considering the wide applications of the libration points in the Sun-Earth/ Moon and Earth-Moon system, the kinetic characteristics and the continuation algorithm of periodic families were studied under the circular restricted three-body problem. The method of numerical halo family determination by the continuation algorithm was presented. Influences of family parameter selection on family determination were analyzed. Finally, the halo families with a large scope were given in the Sun-Earth/Moon and Earth-Moon system, together with their kinetic characteristics of orbit periods and locations. The results show that the family parameter of a is preferable for an L1 halo family and the y velocity or T is preferable for L2. The method is fit for the numerical halo family determination in any three-body system, especially for those under perturbations by a simple modification of state transition matrix.

关 键 词：三体问题 平动点 晕轨道 延拓法 轨道设计 深空探测 

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]