三角平动点附近高阶解在轨道位置保持中的应用  

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

作　　者：雷汉伦[1] 徐波[1] 

机构地区：[1]南京大学天文与空间科学学院,南京210046

出　　处：《宇航学报》2015年第3期253-260,共8页Journal of Astronautics

基　　金：国家973基础研究计划(2013CB834103);国家863高新技术发展计划(2012AA121602);国家自然科学基金(11078001);江苏省研究生创新工程(CXZZ13_0042)

摘　　要：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。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.

关 键 词：椭圆型限制性三体问题 实际轨道动力学模型 轨道位置保持 

分 类 号：V412[航空宇航科学与技术—航空宇航推进理论与工程]