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Long-Term GPS Satellite Orbit Prediction Scheme with Virtual Planet Perturbation

가상행성 섭동력을 고려한 긴 주기 GPS 위성궤도예측기법

  • Received : 2012.08.27
  • Accepted : 2012.09.25
  • Published : 2012.11.01

Abstract

The purpose of this paper is to analyze GPS (Global Positioning System) satellite orbital mechanics, and then to propose a novel long-term GPS satellite orbit prediction scheme including virtual planet perturbation. The GPS orbital information is a necessary prerequisite to pinpointing the location of a GPS receiver. When a GPS receiver has been shut down for a long time, however, the time needed to fix it before its reuse is too long due to the long-standing GPS orbital information. To overcome this problem, the GPS orbital mechanics was studied, such as Newton's equation of motion for the GPS satellite, including the non-spherical Earth effect, the luni-solar attraction, and residual perturbations. The residual perturbations are modeled as a virtual planet using the least-square algorithm for a moment. Through the modeling of the virtual planet with the aforementioned orbital mechanics, a novel GPS orbit prediction scheme is proposed. The numerical results showed that the prediction error was dramatically reduced after the inclusion of virtual planet perturbation.

Keywords

References

  1. E. D. Kaplan and C. J. Hegarty, Understanding GPS: Principles and Applications, 2nd Edition, Artech House, Norwood, MA, 2006.
  2. Technical Director of Global Positioning Systems Wing, Navstar GPS Space Segment/Navigation User Interfaces (IS-GPS-200), Revision E, Science Applications International Corporation GPSW SE&I, El Segundo, CA, June 2010.
  3. C. Park, D.-H. Hwang, and S. J. Lee, "Error analysis of mordernized GPS and Galileo Positioning," Journal of Control, Automation and Systems Engineering (in Korean), vol. 11, no. 7, pp. 644-650, July 2005. https://doi.org/10.5302/J.ICROS.2005.11.7.644
  4. D. W. Lim, H. H. Choi, M. B. Heo, and S. J. Lee, "A model-based multipath estimation technique for GPS receivers," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 18, no. 4, pp. 391-399, Apr. 2012. https://doi.org/10.5302/J.ICROS.2012.18.4.391
  5. F. van Diggelen, A-GPS: Assisted GPS, GNSS, and SBAS, Artech House, Norwood, MA, 2009.
  6. G.-I. Jee, "Trend review for wireless positionning and assisted GPS," Journal of Control, Automation and Systems Engineering (in Korean), vol. 9, no. 2, pp. 23-26, Mar. 2003.
  7. S.-H. Song, J.-W. Park, J. H. Park, and T.-K. Sung, "Performance analysis of signal acquisition in L2C assisted GPS receivers," Journal of Institute of Control, Robotics and Systems (in Korean), vol. 17, no. 1, pp. 61-67, Jan. 2011. https://doi.org/10.5302/J.ICROS.2011.17.1.61
  8. M. Iubatti, M. Villanti, A. Vanelli-Coralli, G. E. Corazza, and S. Corazza, "Ephemeris interpolation techniques for assisted GNSS services," Springer Series on Signals and Communication Technology: Satellite Communications and Navigation Systems, Springer, pp. 185-197, Feb. 2008.
  9. Y. Feng and Y. Zheng, "Efficient interpolations to GPS orbits for precise wide area applications," Journal of GPS Solutions, vol. 9, no. 4, pp. 237-282, 2005.
  10. M. Schenewerk, "A brief review of basic GPS orbit interpolation strategies," Journal of GPS Solutions, vol. 6, no. 4, pp. 265-267, 2003. https://doi.org/10.1007/s10291-002-0036-0
  11. S. Han and P. Alto (SiRF Technology, Inc.), Method and Appratus in Standalone Positioning without Broadcast Ephemeris, United States Patent: US 7,564,406B2, July 2009.
  12. P. C. P. M. Pardal, R. V. de Moraes, and H. K. Kuga, "Orbit determination modeling analysis by GPS including perturbations due to geopotential coefficients of high degree and order, solar radiation pressure and luni-solar attraction," Journal of Aerospace Technology and Management, vol. 3, no. 1, pp. 79-86, Jan.-Apr. 2011. https://doi.org/10.5028/jatm.2011.03010611
  13. T.-A. Hsu, L.-S. Wang, F.-R. Chang, and Y.-F. Tseng, "Long-term prediction of GPS satellite orbit," Proceedings of The Society of Instrument and Control Engineers (SICE) Annual Conference, Taipei, Taiwan, pp. 2906-2909, Aug. 2010.
  14. H.-T. Hsiao and T.-H. Chang, "Algorithm design for long-term GPS satellite orbit prediction," Proceedings of the 2011 Chinese Control and Decision Conference (CCDC), Mianyang, China, pp. 2761-2766, May 2011.
  15. C. J. Rodriguez-Solano, U. Hugentobler, and P. Steigenberger, "Adjustable box-wing model for solar radiation pressure impacting GPS satellites," The Official Journal of the Committee on Space Research (COSPAR), a Scientific Committee of the International Council for Science (ICSU): Advances in Space Research, vol. 49, no. 7, pp. 1113-1128, Apr. 2012. https://doi.org/10.1016/j.asr.2012.01.016
  16. C. Rodriguez-Solano, U. Hugentobler, P. Steigenberger, K. Sosnica, and M. Fritsche, "Non-conservative GNSS satellite modeling: long-term behavior," Proceedings of European Geosciences Union (EGU) General Assembly 2012, Vienna, Austria. [Online]. Available: http://www.bernese.unibe.ch/publist/2012/post/KS_EGU2012_BOXW_S LR.pdf, Apr. 2012.
  17. ICGEM (International Center for Global Earth Models) website. [Online]. Available: http://www.icgem.gfz-potsdam.de/ICGEM/ICGEM.html.
  18. IERS (International Earth Rotation and Reference Systems Service) website. [Online]. Available: http://iers. org/.
  19. IGS (International GNSS Service) website. [Online]. Available: http://igscb.jpl.nasa.gov/.
  20. TelAce website. [Online]. Available: http://www.telace.co. kr/images/T1.pdf
  21. J. Lee, GPS Satellite Perturbation Modeling including Viertual Planet for GPS Orbit Estimation, Master's Thesis, Konkuk University, Dec. 2011.