| 引用本文: | 张锦绣,张智飞,曹喜滨.环月超长波干涉仪最佳探测区域快速预报方法[J].哈尔滨工业大学学报,2018,50(10):20.DOI:10.11918/j.issn.0367-6234.201610050 |
| ZHANG Jinxiu,ZHANG Zhifei,CAO Xinbin.Fast prediction method for the best observation region of lunar ultra-long wave interferometer[J].Journal of Harbin Institute of Technology,2018,50(10):20.DOI:10.11918/j.issn.0367-6234.201610050 |
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| 摘要: |
| 为解决环月超长波干涉仪的最佳探测区域快速自主预报问题，采用改进的二分搜索方法.在环月超长波干涉仪的实际任务中，日地月与环月超长波干涉仪的四体实时相对位置可由星上自主轨道预报获得，由此干涉仪最佳探测区域的预报问题可等价为一维边界搜索问题.常用的一维搜索方法如二分法、斐波那契法与黄金分割法均为针对极值的搜索方法，因此改进了上述方法的搜索策略，使之适用于边界搜索问题，通过仿真比较了改进后3种搜索方法的精度与搜索效率.具体改进为：3种搜索均加入粗搜索的流程以快速缩小搜索范围，再依据不同方法定制相应收敛判据，精确搜索环月超长波干涉仪进出其最佳探测区域的时刻.最终通过比较上述3种方法在相同精度要求下的搜索时间与计算量，以评估3种方法的搜索效率.仿真结果表明，改进二分法的搜索时间与计算量均略高于其余方法的0.5倍，其搜索效率显著优于改进的斐波那契法与黄金分割法，可用于环月超长波干涉仪最佳探测区域的快速自主预报.
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| 关键词: 环月轨道超长波干涉仪 射电干扰 最佳探测区域 一维搜索 改进的二分法搜索 |
| DOI：10.11918/j.issn.0367-6234.201610050 |
| 分类号:V5206 |
| 文献标识码:A |
| 基金项目:国家自然科学基金(91438202) |
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| Fast prediction method for the best observation region of lunar ultra-long wave interferometer |
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ZHANG Jinxiu,ZHANG Zhifei,CAO Xinbin
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(School of Astronautics, Harbin Institute of Technology, Harbin 150001, China)
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| Abstract: |
| To solve the problem of the best observation region fast automous prediction for lunar ultra-long wave interferometer, this article makes use of improved binary search method. During the mission period of lunar ultra-long wave interferometer, numerical solutions to relative real-time position of sun, earth, moon and the interferometer are known by the orbit prediction algorithm on board, so the prediction problem is equal to the one-dimension boundary search problem with the assumption. Frequently-used one-dimesion search methods for extremum, such as binary search, golden section search, and fibonacci search, were improved so that they could be applied to the boundary search problem. The specific improvement was to reduce search range by rough search firstly and then design new convergence criterion to find the accurate time when the interferometer gets in or out of the best observation region. Finally, search efficiency of the above methods was assessed by comparing the search time and calculation in the same precision requirement. According to the simulation results, the search time and calculation amount of the improved binary search were both slightly higher than half of those of the other methods. So improved binary search whose search efficiency is significantly better than that of the improved Fibonacci method and the golden section method can be applied to fast autonomous prediction of the best observation for lunar ultra-long wave interferometer.
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| Key words: lunar ultra-long wave interferometer interference in radiation the best observation region one-dimension search improved binary search |
