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Correction Method of Tracking Error for Astronomical Telescope Using Recursive Least Square Method

재귀 최소자승법을 이용한 천체 망원경의 추적 오차 보정법

  • 곽동훈 (인하대학교 로봇공학과) ;
  • 김태한 (인하대학교 로봇공학과) ;
  • 이영삼 (인하대학교 로봇공학과)
  • Received : 2011.11.09
  • Accepted : 2012.01.17
  • Published : 2012.03.01

Abstract

In this paper, we propose a correction method for astronomical telescope using recursive least square method. There are two ways to move a telescope : equatorial operation and altazimuth operation. We must align polar axis of a equatorial telescope with the north celestial pole and adjust the horizontal axis of a altazimuth telescope exactly to match the celestial coordinate system with the telescope coordinate system. This process needs time and expertise. We can skip existing process and correct a tracking error easily by deriving the relationship of the celestial coordinate system and the telescope coordinate system using the proposed correction method. We obtain the coordinate of a celestial body in the celestial coordinate system and the telescope coordinate system and derive a transformation matrix through the obtained coordinate. We use recursive least square method to estimate the unknown parameters of a transformation matrix. Finally, we implement a telescope control system using a microprocessor and verify the performance of the correction method. Through an experiment, we show the validity of the proposed correction method.

Keywords

References

  1. D. Scott Birney, Observational Astronomy, Cambridge University Press, 1991.
  2. Y. Yang, N. Rees, and T. Chuter, "Reduction of encoder measurement errors in UKIRT telescope control system using a Kalman filter," IEEE Trans. of Control Systems Technology, vol. 10, no. 1, pp. 149-157, Jan. 2002. https://doi.org/10.1109/87.974348
  3. W. S. Jeong, "Development of control softwares for improvement of tracking efficiency of the 16" telescope of seoul national university observatory," Publications of The Korean Astronomical Society (in Korean), vol. 14, no. 1, pp. 47-56, Sep. 1999.
  4. T. Erm and S. Sandrock, "Adaptive correction of periodic errors improves telescope performance," Proc. 2005 American Control Conference, vol. 6, pp. 3776-3777, Jun. 2005.
  5. Y. W. Kang, "Automation of astronomical telescope: development of techniques, equipments and softwares for remote control of telescope," Publications of The Korean Astronomical Society (in Korean), vol. 11, no. 1, pp. 57-73, Jul. 1996.
  6. H. S. Kim, "Development of remote control system for KNUO 16" reflector telescope," Jour. Korean Earth Science Society (in Korean), vol. 24, no. 5, pp. 456-466, Aug. 2003.
  7. I. W. Han, "Development of a telescope control system, MS-TCS," Publications of The Korean Astronomical Society (in Korean), vol. 13, no. 1, pp. 85-98, Dec. 1998.
  8. B. S. Mun, "Development of the software for 30inch telescope control system at KHAO," Publications of The Korean Astronomical Society (in Korean), vol. 21, no. 2, pp. 81-86, Dec. 2006. https://doi.org/10.5303/PKAS.2006.21.2.081
  9. J. H. Lee, "Automatic control of equatorial mount using a CCD camera," Journal of the Institute of Industrial technology (in Korean), vol. 13, pp. 97-102, 2005.
  10. Edwin K. P. Chong, An Introduction to Optimization 3rd Ed., Wiley-Interscience, 2008.
  11. Atmel Corporation 2009, ATmega128A Datasheet
  12. Z. Zhang, "A flexible new technique for camera calibration," IEEE Trans. on Pattern Analysis and Machine Intelligence, vol. 13, no. 4, pp. 376-380, Apr. 1991. https://doi.org/10.1109/34.88573
  13. S. Umeyama, "Least-square estimation of transformation parameters between two point patterns," Microsoft Research Technical Report MSR-TR-98-71, Dec. 1998.
  14. M. D. Shuster and S. D. Oh, "Three-axis attitude determination from vector observations," Journal of Guidance, Control and Dynamics, vol. 4, no. 1, pp. 70-77, Jan. 1981. https://doi.org/10.2514/3.19717
  15. H. Lim, "Indoor single camera SLAM using fiducial markers," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 15, no. 4, pp. 353-364, Apr. 2009. https://doi.org/10.5302/J.ICROS.2009.15.4.353
  16. S. J. Lim, "Tip position control of a robot manipulator using visual markers," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 16, no. 9, pp. 883-890, Sep. 2010. https://doi.org/10.5302/J.ICROS.2010.16.9.883

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