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金星−水星探测行星际轨迹优化

Interplanetary Trajectory Optimization for Venus-Mercury Exploration

  • 摘要: 针对金星−水星探测轨迹优化变量多,难以全局寻优的问题,提出一种分段轨迹优化方法。首先搜索金星−水星转移窗口,降低金星捕获和水星捕获的代价;然后优化地球−金星转移段的金星借力轨迹,得到发射窗口;最后优化金星/水星捕获段的连续多次金星/水星借力轨迹,基于V杠杆机动原理,提出表征杠杆机动效率的优化指标,将每次借力后的轨迹单独进行优化,逐步降低金星/水星捕获所需的速度增量。仿真结果表明:通过2次金星借力,地球−金星转移段和金星−水星转移段可实现零速度增量消耗;通过2或3次金星借力和V杠杆机动,金星捕获速度增量可减小1.4 km/s;通过4次水星借力和V杠杆机动,水星捕获速度增量可减小2.3 km/s。与水星探测轨迹优化相比,该方法通过约束离开金星和到达水星时的V,可降低金星−水星探测任务整体速度增量。

     

    Abstract: The large number of variables for Venus-Mercury exploration trajectory design results in the difficulty to find the global optimum. Therefore, a segmented optimization method was proposed. Firstly, the Venus-Mercury transfer window was searched to reduce the cost for Venus capture and Mercury capture. Then, the Earth-Venus transfer trajectory with Venus gravity assists was optimized, and the launch window was obtained. Finally, the Venus/Mercury capture trajectory with successive Venus/Mercury gravity assists was optimized. Based on V∞-leveraging maneuver principle, an optimization index of leveraging maneuver efficiency was proposed. The trajectory after each gravity assist was optimized separately so that the velocity increment for Venus/Mercury capture was reduced steadily. The simulation results reveal that the velocity increment for the Earth-Venus transfer segment and the Venus-Mercury transfer segment could be zero when 2 Venus gravity assists were executed. The velocity increment for Venus capture could be reduced by 1.4 km/s when 2 or 3 Venus gravity assists and V∞-leveraging maneuvers were executed. The velocity increment for Mercury capture could be reduced by 2.3 km/s when 4 Mercury gravity assists and V∞-leveraging maneuvers were executed. Compared with trajectory optimization for Mercury exploration, the proposed method can reduce the overall velocity increment for Venus-Mercury exploration by constraining the V∞ for departing from Venus and arriving at Mercury.

     

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