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针对三体问题中平动点转移轨道设计问题,首先以Richardson三阶近似解为初值,采用微分修正法,计算出简单周期轨道;利用单值矩阵法,计算出简单周期轨道附近的不变流形。然后根据Broucke的简单周期轨道分类思想,利用地-月平动点之间月球附近的周期轨道作为中转,设计LL2附近的Lyapunov轨道,LL1附近的Lyapunov轨道和绕月飞行的大幅值顺行轨道之间的自由转移轨道,实现地-月平动点之间的转移。
Aiming at the design of translational orbit transfer orbit in the three-body problem, the simple periodic orbit is calculated by using Richardson’s third-order approximate solution as the initial value and the differential correction method, and the simple periodic orbit Manifold. Then according to Broucke’s idea of simple periodic orbital classification, the Lyapunov orbit near LL2, the Lyapunov orbit around LL1 and the large-amplitude orbit Between the free transfer of orbit, to achieve the transfer between the moon - moving point.