| 引用本文: | 邱实,曹喜滨,张锦绣.绕月轨道阴影区域建模与轨道优化.[J].国防科技大学学报,2017,39(4):26-32.[点击复制] |
| QIU Shi,CAO Xibin,ZHANG Jinxiu.Mathematical models of lunar orbit shadow and optimization of lunar orbits[J].Journal of National University of Defense Technology,2017,39(4):26-32[点击复制] |
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| 绕月轨道阴影区域建模与轨道优化 |
| 邱实, 曹喜滨, 张锦绣 |
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(哈尔滨工业大学 航天学院， 黑龙江 哈尔滨 150001)
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| 摘要: |
| 针对绕月运行轨道建立月球阴影区域与地球阴影区域的数学模型，给出了卫星是否处于阴影区域的判据；利用黄金分割法搜索出了阴影区域的边界值。将禁忌搜索算法嵌入遗传算法中并结合具体案例，搜索出了阴影时长最短的最优目标轨道。所给出的绕月轨道阴影区域模型简单且能够满足工程精度需求，可用于星上自主预报算法；所给出的嵌入式遗传算法能有效避免陷入局部最优并快速收敛。 |
| 关键词: 绕月轨道 月球阴影 地球阴影 遗传算法 禁忌搜索 |
| DOI：10.11887/j.cn.201704005 |
| 投稿日期：2016-09-20 |
| 基金项目:国家自然科学基金资助项目（91438202，61690212） |
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| Mathematical models of lunar orbit shadow and optimization of lunar orbits |
| QIU Shi, CAO Xibin, ZHANG Jinxiu |
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(School of Astronautics, Harbin Institute of Technology, Harbin 150001， China)
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| Abstract: |
| Mathematical models of lunar and Earth shadow were established for lunar orbits. Also, the criterion was proposed to decide whether the satellite was in the shadow area. Golden section search optimization was used to search out the boundary values of the shadow area. In combination with specific cases, the optimal targeting lunar orbit was given by the genetic algorithm which was embedded in tabu search. The mathematical models of lunar orbit shadow given out in this article are simple enough to be used in on board computer. Meanwhile, they can meet the engineering accuracy requirements. The embedded genetic algorithm has advantage of fast convergence without trapping in local optimum. |
| Keywords: lunar orbit lunar shadow Earth shadow genetic algorithm tabu search |
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