基于双曲线B平面参数的快速微分修正月地返回轨道精确设计

Moon-Earth Return Trajectory Precise Design of Fast Differential Correction Based on B-Plane Parameters of Hyperbola

月地返回轨道设计是探月三期月球采样返回任务中的重要内容之一,其约束条件较地月转移轨道复杂。此外,微分修正算法对于初值有很强的敏感性,且不易搜索得到初值。本文提出选取月心段出口点的双曲线B平面参数作为第一次迭代的目标值,选取地心段约束值作为第二次迭代的目标值,可有效的减少迭代次数和迭代时间,完成搜索初值过程。针对直接返回型轨道和间接返回型轨道的设计问题,使用基于双曲线B平面参数的快速微分修正月地返回轨道精确设计方法,满足了对应的约束条件,易于求取变轨点的位置矢量和速度矢量,得到标称返回轨道。最后针对2种返回轨道类型的算例说明该方法有效。

Moon-earth return trajectory design is sion in the third stage of China Lunar Exploration one of most important parts of sampling and return mis- Program, as the constraints of moon-earth return trajecto- ry are more difficult than those of earth-moon transfer trajectory. And differential correction is sensitive to the initial value, which cannot be searched easily. It is proposed in this paper that selecting the B-plane pa- rameters of hyperbola of the outlet point in the moon＇ s sphere of influence and the final constraints of reentry point as the first step target and second step target, then the problem of getting proper initial value can be solved of fast successful search rate and short search time. The approach of moon-earth return trajectory pre- cise design of fast differential correction based on B-plane parameters of hyperbola, in the design of direct return trajectory and indirect return trajectory, is stated to accurately satisfy the constraints, easily calculatethe position and velocity vectors of transfer point and successfully obtain nominal trajectory. Finally, effec- tiveness of the proposed approach is validated by examples including two types of return trajectory.