三角平动点附近高阶解在轨道位置保持中的应用

首先给出三角平动点附近的高阶解析解，并计算了三种特殊的运动类型。以日–地+月系三角平动点附近无长周期运动分量的拟周期轨道作为目标轨道，探讨轨道保持问题。针对三角平动点任务的轨道保持问题，我们研究了两种轨道保持策略，分别为多点打靶轨道保持与重构目标轨道的策略。计算中，将轨道控制问题转化为非线性规划问题，并以优化方法求解。仿真表明优化方法在轨道保持问题求解方面非常有效。

Applications of High Order Analytical Solutions Around Triangular Libration Points in Stationkeeping

The high-order analytical solutions around triangular libration points are presented first, and then three typical kinds of orbits are computed. In this paper, the quasi-periodic orbits without long-periodic component in the Sun–Earth+Moon system are taken as the nominal orbits. For the station-keeping problem, two strategies including multiple shooting stationkeeping strategy and the reconstruction of nominal orbit in real system are investigated. In the process of computation, the problem of stationkeeping is transformed into a nonlinear programming problem which can be solved by sequential quadratic programming method. Simulation results indicate that the optimization technique performs efficiently in the process solving the stationkeeping problem.