基于恒星几何构型分布的天文定位误差建模及误差特性分析

doi:10.3969/j.issn.1000-1093.2015.05.008

兵工学报 ›› 2015, Vol. 36 ›› Issue (5): 813-822.doi: 10.3969/j.issn.1000-1093.2015.05.008

基于恒星几何构型分布的天文定位误差建模及误差特性分析

赵慧¹，熊智¹，王丽娜²，潘加亮¹，郁丰³，戴怡洁¹

（1.南京航空航天大学自动化学院，江苏南京 210016；2.北京航天自动控制研究所宇航智能控制技术国家级重点实验室，北京 100854；

收稿日期:2014-07-02 修回日期:2014-07-02 上线日期:2015-07-09
作者简介:赵慧（1990—）女，硕士研究生
基金资助:
国家自然科学基金项目（61374115、61203188、91016019、60904091、61210306075）; 国家留学基金委项目（201203070126）；江苏省六大人才高峰项目(2013-JY-013)；江苏高校优势学科建设工程项目（2014年）；中央高校基本科研业务费专项资金项目（NP2015406、NZ2014406）

Modeling of Celestial Positioning Error and Analysis of Error Characteristics Based on Distribution of Guide Stars

ZHAO Hui¹, XIONG Zhi¹, WANG Li-na², PAN Jia-liang¹, YU Feng³, DAI Yi-jie¹

（1.College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, Jiangsu, China；2National Laboratory of Aerospace Intelligent Control Technology, Beijing Aerospace Automatic Control Institute, Beijing 100854, China；3College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, Jiangsu, China）

Received:2014-07-02 Revised:2014-07-02 Online:2015-07-09

摘要/Abstract

摘要： 天文导航系统以天体为导航信标进行导航定位，其定位性能除了受天文测量仪器精度的影响外，和所观测天体几何构型分布亦有关联。从天文定位基本原理出发，推导建立了天文定位误差模型，分析了影响天文定位性能的因素，着重研究了恒星几何构型中恒星方位角对天文定位性能的影响，给出了在测量精度一定的条件下，可用于判别天文定位性能优劣的误差权系数k以及天文定位性能较优的恒星分布情况。仿真结果表明，所提出的天文定位误差模型可以有效用于分析天文定位性能。

关键词: 控制科学与技术, 恒星几何构型, 天文定位, 误差模型

Abstract: Guide stars are the basis of celestial positioning. The performance of celestial positioning is not only determined by the accuracy of astronomical sensors, but also affected by the distribution of guide stars. To analyze the impact of star distribution on celestial positioning, an error model of celestial positioning is established based on the basic principle of celestial positioning. The error characteristics under the different distributions of stars are researched. In addition, the error weight k used for determining the performance of celestial positioning is presented, and the optimum star geometries are given with certain measuring accuracy. Simulation results show that the proposed error model of celestial positioning can be used to analyze the performance of celestial positioning effectively.

Key words: control science and technology, star distribution, celestial positioning, error model

中图分类号:

V249.3

赵慧，熊智，王丽娜，潘加亮，郁丰，戴怡洁. 基于恒星几何构型分布的天文定位误差建模及误差特性分析[J]. 兵工学报, 2015, 36(5): 813-822.

ZHAO Hui, XIONG Zhi, WANG Li-na, PAN Jia-liang, YU Feng, DAI Yi-jie. Modeling of Celestial Positioning Error and Analysis of Error Characteristics Based on Distribution of Guide Stars[J]. Acta Armamentarii, 2015, 36(5): 813-822.

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基于恒星几何构型分布的天文定位误差建模及误差特性分析

Modeling of Celestial Positioning Error and Analysis of Error Characteristics Based on Distribution of Guide Stars

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