| 三体问题地面实验的相似性分析 |
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| 引用本文： | 齐彧,师鹏,赵育善.三体问题地面实验的相似性分析[J].宇航学报,2013,34(10):1410-1416. |
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| 作者姓名： | 齐彧 师鹏 赵育善 |
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| 作者单位： | 北京航空航天大学宇航学院，北京 100191 |
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| 基金项目： | 国家自然科学基金（11102007）；航天科技创新基金（CASC201102） |
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| 摘 要： | 研究了三体问题相似性的分析流程，给出了三体问题实验近似相似性程度的公式化度量方法。首先，明确了三体问题地面实验的构建原理与方法；其次，建立圆形限制性三体问题的动力学模型，并利用相似性分析方法建立三体问题的相似性度量函数；再次，建立存在各种干扰因素情况下实验系统动力学模型，并利用相似性度量函数衡量在干扰因素作用下实验满足相似性的程度；最后，利用数值仿真法进行仿真分析从统计的角度得出各种干扰对于三体问题实验相似性的影响大小，并给出各种干扰因素对于三体问题相似性的影响排序。仿真表明这种分析方法对于实验系统的提高与实验方案的选择具有指导意义。
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| 关 键 词： | 三体动力学 地面实验系统 相似性 |
| 收稿时间： | 2012-11-30 |
Similarity Analysis of Ground Experiment of Three Body Problem |
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| QI Yu,SHI Peng,ZHAO Yu shan.Similarity Analysis of Ground Experiment of Three Body Problem[J].Journal of Astronautics,2013,34(10):1410-1416. |
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| Authors: | QI Yu SHI Peng ZHAO Yu shan |
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| Affiliation: | School of Astronautics, Beihang University， Beijing 100191，China |
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| Abstract: | After the analysis process of similarity on three body problem is studied, a similarity function for measuring the similarity degree in three body problem trails is estabilished. At first how to build a trial on ground is defined then the dynamics model of three body problem is built, and a similarity function for measuring the similarity degree is built. Then a lot of disturbances in the trails are studied in order to figure out the most important disturbance of the trails. Finally a series of simulations are done by computer, and degrees of the influence caused by different disturbances are ranked from highest to lowest. Those results are useful for the design of astronautics three body trails. |
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| Keywords: | Three body problem dynamic Ground experiment system Similarity analysis |
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