地月系共线平动点Halo轨道族的运动稳定性研究

Stability Researching of Halo Families Surrounding Libration Points in Earth-Moon System

地月系共线平动点附近的Halo轨道族,能够提供从L1点至月球再至L2点的广泛空间的多种轨道应用需要,但2个轨道族内轨道的稳定性差异较大。文章引入稳定系数和线性稳定阶数2个指标来判断轨道的稳定性,并用数值模拟分别分析了百米和千米量级的初始轨道误差在数天后所引起的轨道偏差,得出结论：两轨道族内接近平动点的部分轨道稳定性较差,其余部分轨道稳定性相差不大,L1点附近Halo轨道族内轨道较为稳定的是0.85~0.92之间的轨道,L2点较为稳定的是1.02~1.1之间的轨道。

Halo families in Earth-Moon System supply lots of choices for using in space between L1 and L2 points.Stability Index and Linear Stability Order are introduced to judge orbits＇ stability.Also numerical integrator is used to analyze orbit gap,when several hundreds meters orbit initializing error is added,and several days is propagated.The result is that stability of orbits near libration points is worse.The stability of orbits between 0.85 and 0.92 in Halo family around L1 point is much better,and for Halo family around L2 point,the stability of orbits between 1.02 and 1.1 is much better.