DOI QR코드

DOI QR Code

Parametric Analysis of the Solar Radiation Pressure Model for Precision GPS Orbit Determination

  • Bae, Tae-Suk (Dept. Geoinformation Engineering, Sejong University)
  • 투고 : 2017.01.10
  • 심사 : 2017.02.09
  • 발행 : 2017.02.28

초록

The SRP (Solar Radiation Pressure) model has always been an issue in the dynamic GPS (Global Positioning System) orbit determination. The widely used CODE (Center for Orbit Determination in Europe) model and its variants have nine parameters to estimate the solar radiation pressure from the Sun and to absorb the remaining forces. However, these parameters show a very high correlation with each other and, therefore, only several of them are estimated at most of the IGS (International GNSS Service) analysis centers. In this study, we attempted to numerically verify the correlation between the parameters. For this purpose, a bi-directional, multi-step numerical integrator was developed. The correlation between the SRP parameters was analyzed in terms of post-fit residuals of the orbit. The integrated orbit was fitted to the IGS final orbit as external observations. On top of the parametric analysis of the SRP parameters, we also verified the capabilities of orbit prediction at later time epochs. As a secondary criterion for orbit quality, the positional discontinuity of the daily arcs was also analyzed. The resulting post-fit RMSE (Root-Mean-Squared Error) shows a level of 4.8 mm on average and there is no significant difference between block types. Since the once-per-revolution parameters in the Y-axis are highly correlated with those in the B-axis, the periodic terms in the D- and Y-axis are constrained to zero in order to resolve the correlations. The 6-hr predicted orbit based on the previous day yields about 3 cm or less compared to the IGS final orbit for a week, and reaches up to 6 cm for 24 hours (except for one day). The mean positional discontinuity at the boundary of two 1-day arcs is on the level of 1.4 cm for all non-eclipsing satellites. The developed orbit integrator shows a high performance in statistics of RMSE and positional discontinuity, as well as the separations of the dynamic parameters. In further research, additional verification of the reference frame for the estimated orbit using SLR is necessary to confirm the consistency of the orbit frames.

키워드

참고문헌

  1. Bae, T.S. (2006), Near Real-Time Precise Orbit Determination of Low Earth Orbit Satellites using an Optimal GPS Triple-Differencing Technique, Report No. 481, Department of Civil and Environmental Engineering and Geodetic Science, The Ohio State University, Columbus, Ohio, 121p.
  2. Bae, T.-S., Grejner-Brzezinska, D., and Kwon, J. (2007), Efficient LEO dynamic orbit determination with triple differenced GPS carrier phases, The Journal of Navigation, Vol. 60, No. 2, pp. 217-232. https://doi.org/10.1017/S0373463307004171
  3. Bae, T.S. (2009), A preliminary study of near real-time precision satellite orbit determination, Journal of Geomatics, Vol. 27, No. 1, pp. 49-56.
  4. Beutler, G., Brockmann, E., Gurtner, W., Hugentobler, U., Mervart, L., Rothacher, M., and Verdun, A. (1994), Extended orbit modeling techniques at the CODE processing center of the international GPS service for geodynamics (IGS): theory and initial results, Manuscripta Geodaetica, Vol. 19, pp. 367-386.
  5. Beutler, G. (2005), Methods of Celestial Mechanics, Springer-Verlag, Berlin Heidelberg.
  6. Fliegel, H.F., Gallini, T.E., and Swift, E.R. (1992), Global positioning system radiation force model for geodetic applications, Journal of Geophysical Research, Vol. 97, No. B1, pp. 559-568. https://doi.org/10.1029/91JB02564
  7. Griffiths, J. and Ray, J.R. (2009), On the precision and accuracy of IGS orbits, Journal of Geodesy, Vol. 83, No. 3, pp. 277-287. https://doi.org/10.1007/s00190-008-0237-6
  8. McCarthy, D.D. and Petit, G. (2003), IERS Technical Note 32, IERS Conventions (2003), IERS Conventions Centre, Verlag des Bundesamts fur Kartographie und Geodasie, Frankfurt am Main.
  9. Montenbruck, O. and Gill, E. (2005), Satellite Orbits:Models, Methods, And Applications, Springer-Verlag, Berlin Heidelberg New York.
  10. Pavlis, N.K., Holmes, S.A., Kenyon, S.C., and Factor, J.K. (2008), An Earth gravitational model to degree 2160:EGM2008, EGM General Assembly 2008, Vienna, Austria.
  11. Petit, G. and Luzum, B. (2010), IERS Technical Note 36, IERS Conventions (2010), IERS Conventions Centre, Verlag des Bundesamts fur Kartographie und Geodasie, Frankfurt am Main.
  12. Snow, K. (2002), Applications of Parameter Estimation and Hypothesis Testing to GPS Network Adjustment, Report No. 465, Department of Civil and Environmental Engineering and Geodetic Science, The Ohio State University, Columbus, Ohio, 107p.
  13. Springer, T.A., Beutler, G., and Rothacher, M. (1999a), Improving the orbit estimates of GPS satellites, Journal of Geodesy, Vol. 73, No. 3, pp. 147-157. https://doi.org/10.1007/s001900050230
  14. Springer, T.A., Beutler, G., and Rothacher, M. (1999b), A new solar radiation pressure model for GPS satellites. GPS Solutions, Vol. 2, No. 3, pp. 50-62. https://doi.org/10.1007/PL00012757