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Analysis of tracking error of telescope based on AR-search-iteration algorithm

Liao Hong-Yu Ma Xiao-Yu Guo You-Ming Rao Chang-Hui Wei Kai

Analysis of tracking error of telescope based on AR-search-iteration algorithm

Liao Hong-Yu, Ma Xiao-Yu, Guo You-Ming, Rao Chang-Hui, Wei Kai
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  • The tracking errors of large-caliber optical telescope in the process of observing astral target consists of telescope tracking jitter error which is mainly caused by wind-load, and wave-front tilt error caused by atmospheric turbulence. A simplified model concerning telescope tracking error is established, and a new kind of algorithm based on AR model to separate the telescope tracking jitter error from the tracking error caused by atmospheric turbulence is proposed. Finally, an experiment is conducted on the platform of the 1.8 M telescope in Gaomeigu Observing Station to test this algorithm. Experimental results show that the telescope tracking jitter error caused by wind-load is directly related to the direction and speed of the wind, which conforms to the theoretical analysis.
    • Funds: Project supported by the National Natural Science Foundation of China(Grant No. 11178004).
    [1]

    Bian Y L 2008 Physics 37 844 (in Chinese)[卞毓麟 2008 物理 37 844]

    [2]

    Zhou C 2011 Ph. D. Dissertation (Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences) (in Chinese)[周超 2011 博士学位论文 (中科院长春光学精密机械与物理研究所)]

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    Li Z, Song T F, Xu J 2012 Astronomical Research and Technology 9 1189 (in Chinese)[李志, 宋腾飞, 许俊 2012 天文研究与技术 9 1189]

    [5]
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    Liu G Q, Cheng X M, Song T F, Zhao X J 2011 Opto-Electronic Engineering 38 50 (in Chinese)[柳光乾, 程向明, 宋腾飞, 赵雪娟 2011 光电工程 38 50]

    [7]
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    Lisa A Poyneer, Jean-Pierre Veran 2010 J. Opt. Soc. Am. A 27 A223

    [10]
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    Caroline Kulcsar, Paolo Massinoi, Gaetano Sivo, Henri-Francois Raynaud 2012 Proc. of SPIE 8447 84470Z

    [12]
    [13]

    Serge Meimon, Cyril Petit, Thierry Fusco, Caroline Kulcsar 2010 J. Opt. Soc. Am. A 27 A122

    [14]

    Andres Guesalaga, Bennoit Neichel, Francois Rigaut, James Osborn, Dani Guzman 2012 Applied Optics 51 4520

    [15]
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    Carlos Correia, Jean-Pierre Veran, Glen Herriot 2012 J. Opt. Soc. Am. A 29 185

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    Shack R V, Thompson K 1980 SPIE 251 149

    [19]
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    Porro I L, Traub W A, Carleton N P 1999 Applied Optics 38 6055

    [22]
    [23]

    Liu Y Z, Chen W L, Chen L Q 1998 Mechanic of Vibrations (Beijng: HIGHER EDUCATION PRESS) p130 (inChinese)[刘延柱, 陈文良, 陈立群1998振动力学(北京: 高等教育出版社)第130页]

    [24]
    [25]

    Caroline Kulcsar, Gaetano Sivo, Henri Francois Raynaud, Benoit Neichel, Francois Rigaut, Julian Christou, Andres Guesalaga, Carlos Correia, Jean-Pierre vVeran, Eric Gendron, Fabric Vidal, Gerard Rousset, Tim Morris, Simone Esposito, Fernando Quiros-Pacheco, Guido Agapito, Enrico Fedrigo, Lorenzo Pettazzi, Richard Clare, Riccardo Muradore, Olivier Guyon, Fantz Martinache, Serge Meimon, Jean-Marc Conan 2012 Proc. of SPIE 8447 84471C

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    Douglas g. Macmynowski, Torben Andersen 2010 Applied Optics 49 625

    [28]
    [29]

    Douglas G. Macmynowski, Konstantinos Vogiatzis, George Z. Angeli, Joeleff Fitzsimmons, Jerry E. Nelson 2006 Applied Optics 45 7912

    [30]

    Rao C H 2000 Ph. D. Dissertation (Chengdu: The Institute of Optics and Electronics of Chinese Academy of Sciences) (in Chinese)[饶长辉 2000 博士学位论文 (中国科学院光电技术研究所)]

    [31]
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    Rao C H, Jiang W H 1996 Acta Astrophysica Sinica 16 428 (in Chinese)[饶长辉, 姜文汉 1996 天体物理学报 16 428]

    [34]
    [35]

    Rao C H, Shen F, Jiang W H 2000 Acta Photonica Sinica 20 68 (in Chinese)[饶长辉, 沈锋, 姜文汉 2000 光学学报 20 68]

    [36]
    [37]

    Guo Y M, Ma X Y, Rao C H 2013 Acta Phys. Sin. 62 134207 (in Chinese)[郭友明, 马晓燠, 饶长辉 2013 物理学报 62 134207]

    [38]

    Wang Z Q, Zhong M C, Zhou J H, Li Y M 2013 Acta Phys. Sin. 62 188701

    [39]
    [40]

    Ou Y Y H, Yuan P, Jia X D, Wang X Y, Xue S M 2013 Acta Phys. Sin. 62 084303 (in Chinese)[欧阳玉花, 袁萍, 贾向东, 王小云, 薛思敏 2013 物理学报 62 084303]

    [41]
    [42]
    [43]

    Chen W, Yao H M, Wu F, Fan B, Wu S B, Chen Q 2005 Acta Photonica Sinica 35 130 (in Chinese)[陈伟, 姚汉民, 伍凡, 范斌, 吴时彬, 陈强 2005 光子学报 35 130]

    [44]
    [45]

    Rao C H, Jiang W H, Zhang Y D, Ling L, Zhang X J, Xian H, Wei K, Liao Z, Zhou L C, Guan C L, Li M, Chen D H, Zhang A 2008 Proc. of SPIE 7015 70155Y-1

    [46]

    Rao C H, Wei K, Zhang X J, Zhang A, Zhang Y D, Xian H, Zhou L C, Guan C L, Li M, Chen D H, Chen S Q, Tian Y, Liao Z 2010 Proc. of SPIE 7654 76541H-1

    [47]
  • [1]

    Bian Y L 2008 Physics 37 844 (in Chinese)[卞毓麟 2008 物理 37 844]

    [2]

    Zhou C 2011 Ph. D. Dissertation (Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences) (in Chinese)[周超 2011 博士学位论文 (中科院长春光学精密机械与物理研究所)]

    [3]
    [4]

    Li Z, Song T F, Xu J 2012 Astronomical Research and Technology 9 1189 (in Chinese)[李志, 宋腾飞, 许俊 2012 天文研究与技术 9 1189]

    [5]
    [6]

    Liu G Q, Cheng X M, Song T F, Zhao X J 2011 Opto-Electronic Engineering 38 50 (in Chinese)[柳光乾, 程向明, 宋腾飞, 赵雪娟 2011 光电工程 38 50]

    [7]
    [8]
    [9]

    Lisa A Poyneer, Jean-Pierre Veran 2010 J. Opt. Soc. Am. A 27 A223

    [10]
    [11]

    Caroline Kulcsar, Paolo Massinoi, Gaetano Sivo, Henri-Francois Raynaud 2012 Proc. of SPIE 8447 84470Z

    [12]
    [13]

    Serge Meimon, Cyril Petit, Thierry Fusco, Caroline Kulcsar 2010 J. Opt. Soc. Am. A 27 A122

    [14]

    Andres Guesalaga, Bennoit Neichel, Francois Rigaut, James Osborn, Dani Guzman 2012 Applied Optics 51 4520

    [15]
    [16]

    Carlos Correia, Jean-Pierre Veran, Glen Herriot 2012 J. Opt. Soc. Am. A 29 185

    [17]
    [18]

    Shack R V, Thompson K 1980 SPIE 251 149

    [19]
    [20]
    [21]

    Porro I L, Traub W A, Carleton N P 1999 Applied Optics 38 6055

    [22]
    [23]

    Liu Y Z, Chen W L, Chen L Q 1998 Mechanic of Vibrations (Beijng: HIGHER EDUCATION PRESS) p130 (inChinese)[刘延柱, 陈文良, 陈立群1998振动力学(北京: 高等教育出版社)第130页]

    [24]
    [25]

    Caroline Kulcsar, Gaetano Sivo, Henri Francois Raynaud, Benoit Neichel, Francois Rigaut, Julian Christou, Andres Guesalaga, Carlos Correia, Jean-Pierre vVeran, Eric Gendron, Fabric Vidal, Gerard Rousset, Tim Morris, Simone Esposito, Fernando Quiros-Pacheco, Guido Agapito, Enrico Fedrigo, Lorenzo Pettazzi, Richard Clare, Riccardo Muradore, Olivier Guyon, Fantz Martinache, Serge Meimon, Jean-Marc Conan 2012 Proc. of SPIE 8447 84471C

    [26]
    [27]

    Douglas g. Macmynowski, Torben Andersen 2010 Applied Optics 49 625

    [28]
    [29]

    Douglas G. Macmynowski, Konstantinos Vogiatzis, George Z. Angeli, Joeleff Fitzsimmons, Jerry E. Nelson 2006 Applied Optics 45 7912

    [30]

    Rao C H 2000 Ph. D. Dissertation (Chengdu: The Institute of Optics and Electronics of Chinese Academy of Sciences) (in Chinese)[饶长辉 2000 博士学位论文 (中国科学院光电技术研究所)]

    [31]
    [32]
    [33]

    Rao C H, Jiang W H 1996 Acta Astrophysica Sinica 16 428 (in Chinese)[饶长辉, 姜文汉 1996 天体物理学报 16 428]

    [34]
    [35]

    Rao C H, Shen F, Jiang W H 2000 Acta Photonica Sinica 20 68 (in Chinese)[饶长辉, 沈锋, 姜文汉 2000 光学学报 20 68]

    [36]
    [37]

    Guo Y M, Ma X Y, Rao C H 2013 Acta Phys. Sin. 62 134207 (in Chinese)[郭友明, 马晓燠, 饶长辉 2013 物理学报 62 134207]

    [38]

    Wang Z Q, Zhong M C, Zhou J H, Li Y M 2013 Acta Phys. Sin. 62 188701

    [39]
    [40]

    Ou Y Y H, Yuan P, Jia X D, Wang X Y, Xue S M 2013 Acta Phys. Sin. 62 084303 (in Chinese)[欧阳玉花, 袁萍, 贾向东, 王小云, 薛思敏 2013 物理学报 62 084303]

    [41]
    [42]
    [43]

    Chen W, Yao H M, Wu F, Fan B, Wu S B, Chen Q 2005 Acta Photonica Sinica 35 130 (in Chinese)[陈伟, 姚汉民, 伍凡, 范斌, 吴时彬, 陈强 2005 光子学报 35 130]

    [44]
    [45]

    Rao C H, Jiang W H, Zhang Y D, Ling L, Zhang X J, Xian H, Wei K, Liao Z, Zhou L C, Guan C L, Li M, Chen D H, Zhang A 2008 Proc. of SPIE 7015 70155Y-1

    [46]

    Rao C H, Wei K, Zhang X J, Zhang A, Zhang Y D, Xian H, Zhou L C, Guan C L, Li M, Chen D H, Chen S Q, Tian Y, Liao Z 2010 Proc. of SPIE 7654 76541H-1

    [47]
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  • Received Date:  05 April 2014
  • Accepted Date:  13 May 2014
  • Published Online:  05 September 2014

Analysis of tracking error of telescope based on AR-search-iteration algorithm

  • 1. Institute of Optics and Electronics, Chinese Academy of Sciences, Chengdu 610029, China;
  • 2. Key Lab of Adaptive Optics, Chinese Academy of Sciences, Chengdu 610029, China;
  • 3. Graduate School, Chinese Academy of Sciences, Beijing 100039, China
Fund Project:  Project supported by the National Natural Science Foundation of China(Grant No. 11178004).

Abstract: The tracking errors of large-caliber optical telescope in the process of observing astral target consists of telescope tracking jitter error which is mainly caused by wind-load, and wave-front tilt error caused by atmospheric turbulence. A simplified model concerning telescope tracking error is established, and a new kind of algorithm based on AR model to separate the telescope tracking jitter error from the tracking error caused by atmospheric turbulence is proposed. Finally, an experiment is conducted on the platform of the 1.8 M telescope in Gaomeigu Observing Station to test this algorithm. Experimental results show that the telescope tracking jitter error caused by wind-load is directly related to the direction and speed of the wind, which conforms to the theoretical analysis.

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