论文部分内容阅读
对Halo轨道周期和运动范围等特性的研究是平动点任务设计的首要前提。针对大幅值Halo轨道和完整Halo轨道族的应用需求及其数值计算问题,面向当前应用广泛的地月系和日-地月系共线平动点,基于延拓法研究了圆型限制性三体问题下的Halo轨道族数值计算和运动学特性,给出了Halo轨道族延拓计算方法。数值仿真了族参数选择对轨道族计算的影响,得到了地月系和日-地月系共线平动点的大范围南北Halo轨道族,同时给出了轨道族的轨道周期变化和空间位置变化特性。研究结果表明,固定延拓步长下,L1点Halo轨道族应选择会合坐标系x坐标作为族参数,L2点Halo轨道族应选择y方向速度或者周期T作为族参数。方法适用于任意三体系统平动点的周期轨道族计算,特别是对其中的状态转移矩阵简单修改后可用于完整力模型下的Halo轨道(族)的数值设计。
Research on the characteristics of Halo orbit and the range of motion is the first prerequisite for the design of the translational point task. According to the application requirements and numerical calculation of the large-amplitude Halo orbit and the complete Halo orbit family, and based on the continuation method, Halo orbit family of numerical calculation and kinematics are given. Numerical simulation of the influence of the parameters of the family on the orbital calculation results shows that the orbital Halt orbital and the space position Change characteristics. The results show that, for a fixed extension step, the Halo orbit group at point L1 should select the x-coordinate of the meeting coordinate system as the group parameter, and the Halo orbit group at level 2 should choose the y-direction velocity or period T as the family parameter. The method is suitable for the periodic orbit group calculation of the translational point of any three-body system, especially for the numerical design of the Halo orbit (family) which can be used in the complete force model after a simple modification of the state transition matrix.