Volume 46 Issue 2
Mar.  2017
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Tan Di, Zhang Xin, Wu Yanxiong, Liu Tao. Analysis of effect of optical aberration on star centroid location error[J]. Infrared and Laser Engineering, 2017, 46(2): 217004-0217004(7). doi: 10.3788/IRLA201746.0217004
Citation: Tan Di, Zhang Xin, Wu Yanxiong, Liu Tao. Analysis of effect of optical aberration on star centroid location error[J]. Infrared and Laser Engineering, 2017, 46(2): 217004-0217004(7). doi: 10.3788/IRLA201746.0217004

Analysis of effect of optical aberration on star centroid location error

doi: 10.3788/IRLA201746.0217004
  • Received Date: 2016-06-21
  • Rev Recd Date: 2016-07-15
  • Publish Date: 2017-02-25
  • Centroid location accuracy of stars directly affects the limits of star sensor attitude measurement accuracy, one centroid location error is selection of spot model of star image energy in the algorithm. Star sensor's optical system inevitably has aberration which leads to changing of spot distribution, therefore, it has a realistic significance to explore the effect of optical aberrations on centroid location error for engineering application. Compared with the Gauss function model, four kinds of optical aberration were studied such as defocus and distribution law of centroid location error under the influence of the optical aberration. The analytical expression of location error was calculated combining with the physical process of centroid location, and its numerical simulation was achieved. Experimental results show that the different aberration result in respective spot distribution, further, different centroid location error. And the centroid location error will decrease if the edge energy gets lower evenly at a slow speed according to controlling aberration well. The analysis of centroid location error will help to guide the latter systematic error compensation, and principle of controlling optical aberration will guide the optical system design of star sensor.
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    [2] Zhang Xinyu, Hao Yuncai. Analysis of the star image energy distribution mathematical model and its effect on the accuracy for a star tracker[J]. Aerospace Control and Application, 2013, 39(3):14-18. (In Chinese)
    [3] Alexander B F, Ng K W. Elimination of systematic error in subpixel accuracy centroid estimation[J]. Optical Engineering, 1991, 30(9):1320-1331.
    [4] Jia H, Yang J K, Li X J, et al. Systematic error analysis and compensation for high accuracy star centroid estimation of star tracker[J]. Science China Technological Sciences, 2010, 53(53):3145-3152.
    [5] Wei Xinguo, Xu Jia, Zhang Guangjun. S-curve error compensation of centroiding location for star sensor[J]. Optics and Precision Engineering, 2013, 21(4):849-857. (in Chinese)
    [6] Giancarlo Rufoino, Domenico Accardo. Enhancement of the centroiding algorithm for star tracker measure refinement[J]. Acta Astronautica, 2003, 53:135-147.
    [7] Jiang Liang, Zhang Yu, Zhang Liguo, et al. Effect of point spread functions on star centroid error analysis[J]. Infrared and Laser Engineering, 2015, 44(11):3437-3445. (in Chinese)
    [8] Chen Y L, Liu X Y, An W P. An improved weighted centroid location algorithm[J]. Lecture Notes in Electrical Engineering, 2014, 270:135-140.
    [9] Stirbl R C, Pain B. CMOS active pixel sensor specific performance effects on star tracker/imager position accuracy[C]//Proceedings of SPIE, 2001, 4284:43-53.
    [10] Liao Yufu, Zhong Jianyong. A new method used for star distillation of near-infrared star image of star tracker[J]. Infrared and Laser Engineering, 2014, 43(5):1667-1671. (in Chinese)
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Analysis of effect of optical aberration on star centroid location error

doi: 10.3788/IRLA201746.0217004
  • 1. Key Laboratory of Optical System Advanced Manufacturing Technology,Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033,China;
  • 2. University of Chinese Academy of Sciences,Beijing 100049,China

Abstract: Centroid location accuracy of stars directly affects the limits of star sensor attitude measurement accuracy, one centroid location error is selection of spot model of star image energy in the algorithm. Star sensor's optical system inevitably has aberration which leads to changing of spot distribution, therefore, it has a realistic significance to explore the effect of optical aberrations on centroid location error for engineering application. Compared with the Gauss function model, four kinds of optical aberration were studied such as defocus and distribution law of centroid location error under the influence of the optical aberration. The analytical expression of location error was calculated combining with the physical process of centroid location, and its numerical simulation was achieved. Experimental results show that the different aberration result in respective spot distribution, further, different centroid location error. And the centroid location error will decrease if the edge energy gets lower evenly at a slow speed according to controlling aberration well. The analysis of centroid location error will help to guide the latter systematic error compensation, and principle of controlling optical aberration will guide the optical system design of star sensor.

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