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

doi:10.3969/j.issn.1000-1093.2015.05.008

Abstract

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

CLC Number:

V249.3

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.

References

［1］房建成, 宁晓琳. 天文导航原理及应用［M］. 北京: 北京航空航天大学出版社, 2006: 3-9.
FANG Jian-cheng. NING Xiao-lin. The theory and application of celestial navigation［M］. Beijing: Beijing University Press, 2006:3-9. (in Chinese)
［2］杨淑洁, 杨功流, 单友东，等. 空天飞行器 SINS/CNS 深组合导航算法［J］. 中国惯性技术学报, 2013, 21(4): 478-483.
YANG Shu-jie, YANG Gong-liu, SHAN You-dong, et al. SINS/CNS tightly integrated navigation algorithm for aerospace vehicles ［J］. Journal of Chinese Inertial Technology, 2013, 21(4): 478-483. (in Chinese)
［3］何炬. 国外天文导航技术发展综述［J］. 舰船科学技术, 2006, 27(5): 91-96.
HE Ju. Survey of overseas celestial navigation technology development ［J］. Ship Science and Technology, 2006, 27(5): 91-96. (in Chinese)
［4］ Eduardo dos Santos Pereira. Determining the fixed pattern noise of a CMOS sensor: improving the sensibility of autonomous star trackers ［J］. Journal of Aerospace Technology and Management, 2013, 5(2): 217-222.
［5］ Ning X, Fang J. An autonomous celestial navigation method for LEO satellite based on unscented Kalman filter and information fusion［J］. Aerospace Science and Technology, 2007, 11(2): 222-228.
［6］ Hancock B R, Stirbl R C, Cunningham T J, et al. CMOS active pixel sensor specific performance effects on star tracker/imager position accuracy［C］∥SPIE Proceedings of Optics, Electromechanics and Electronics. San Jose, CA: SPIE, 2001: 43-53.
［7］刘垒, 张路, 郑辛, 等. 星敏感器技术研究现状及发展趋势［J］. 红外与激光工程, 2007,36(z2): 529-533.
LIU Lei, ZHANG Lu, ZHENG Xin, et al. Current situation and development trends of star sensor technology［J］. Infrared and Laser Engineering, 2007,36(z2): 529-533. (in Chinese)
［8］廖志波, 伏瑞敏, 宗肖颖. 星敏感器遮光罩的优化设计［J］. 中国激光, 2010, 37(4): 987-990.
LIAO Zhi-bo, FU Rui-min, ZONG Xiao-ying. Optimal designing of baffle of star sensor［J］. Chinese Journal of Lasers, 2010, 37(4): 987-990. (in Chinese)
［9］ Wu Z, Yang J, Su D. Experimental study for the effects of stellar spectrums on the location accuracy of a star sensor［C］∥International Symposium on Photo electronic Detection and Imaging 2011. US: International Society for Optics and Photonics, 2011.
［10］施闻明, 杨晓东. 天文定位中选星系统的建模与仿真［J］. 系统仿真学报, 2007, 19(7): 1428-1429.
SHI Wen-ming, YANG Xiao-dong. Modeling and simulation on star-choosing in celestial positioning［J］. Journal of System Simulation, 2007, 19(7): 1428-1429. (in Chinese)
［11］王洪振. 航用天体位置计算及自动选星研究［D］. 大连：大连海事大学, 2012.
WANG Hong-zhen. The position calculation of marine celestial body and automatic star-choosing in celestial positioning［D］. Dalian: Dalian Maritime University, 2012. (in Chinese)
［12］于永军, 刘建业, 熊智，等. 基于多圆迭代和H_∞滤波的捷联/天文定位算法研究［J］. 控制与决策, 2011, 26(5): 717-720.
YU Yong-jun, LIU Jian-ye, XIONG Zhi, et al. Research on SINS/CNS integrated navigation algorithm based on multi-circles intersection celestial positioning algorithm and H_∞ filter［J］. Control and Decision, 2011, 26(5): 717-720. (in Chinese)
［13］熊智,刘建业,郁丰,等. 基于天文角度观测的机载惯性/天文组合滤波算法研究［J］. 宇航学报, 2010, 31(2):397-403.
XIONG Zhi, LIU Jian-ye, YU Feng, et al. Research of airborne INS/CNS integrated filtering algorithm based on celestial angle observation ［J］. Journal of Astronautics, 2010, 31(2):397-403, 2010. (in Chinese)
［14］程禄,焦传道,黄德鸣. 船舶导航定位系统［M］. 北京: 国防工业出版社, 1991: 103-110.
CHENG Lu, JIAO Chuan-dao, HUANG De-ming. Marine navigation and positioning systems［M］. Beijing: National Defense Industry Press, 1991: 103-110. (in Chinese)

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