中文摘要：

讨论了利用单值矩阵的特征值研究Halo周期轨道稳定性和分岔特性的方法；建立了稳定阶数用于对周期轨道稳定性进行定性评判；系统地研究了对周期轨道拟周期分岔、正切分岔和n倍周期分岔。最后计算了地月系L1点附近Halo轨道族的稳定性和分岔，指出分岔轨道将在深空探测轨道设计中发挥独特的作用。

英文摘要：

Theory of analyzing Halo orbits＇ stability and bifurcations by eigenvalues of Monodromy matrix was discussed. The stability of periodic orbits was qualitative evaluating based on the order of stabilization. Quasiperiodic bifurcation, tangent bifurcation and n -Period Bifurcation were researched. Work was focused on the stability and bifurcations of Halo families in L1 point in Earth-Moon System and their particular applications.