A comment on the article “A collinearity diagnosis of the GNSS geocenter determination-by P.?Rebischung, Z.?Altamimi, and T.?Springer
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  • 作者:Michael Meindl ; Gerhard Beutler ; Daniela Thaller ; Rolf Dach
  • 关键词:GNSS ; Geocenter ; Collinearity ; Solar radiation pressure ; Celestial mechanics
  • 刊名:Journal of Geodesy
  • 出版年:2015
  • 出版时间:February 2015
  • 年:2015
  • 卷:89
  • 期:2
  • 页码:189-194
  • 全文大小:308 KB
  • 参考文献:1. Beutler G, Brockmann E, Gurtner W, Hugentobler U, Mervart L, Rothacher M, Verdun A (1994) Extended orbit modeling techniques at the CODE processing center of the International GPS Service for geodynamics (IGS): theory and initial results. Manuscr. Geod. 19:367-86
    2. Beutler G (2005) Methods of celestial mechanics. Springer, Berlin CrossRef
    3. Dach R, Hugentobler U, Meindl M, Fridez P (eds) (2007) The Bernese GPS Software Version 5.0. Astronomical Institute, University of Bern, Switzerland
    4. Meindl M (2011) Combined Analysis of Observations from Different Global Navigation Satellite Systems, Geod?tisch-geophysikalische Arbeiten in der Schweiz, vol 83. Eidg.Technische Hochschule Zürich, Switzerland
    5. Meindl M, Beutler G, Thaller D, Dach R, J?ggi A (2013) Geocenter coordinates estimated from GNSS data as viewed by perturbation theory. Adv Space Res 51(7):1047-064. ISSN 0273-177. doi:10.1016/j.asr.2012.10.026
    6. Rebischung P, Altamimi Z, Springer T (2013) A collinearity diagnosis of the GNSS geocenter determination. J Geod. doi:10.1016/j.asr.2012.10.026
    7. Rothacher M, Beutler G (1998) The role of GPS in the study of global change. Phys Chem Earth 23(9-0):1029-040. doi:10.1016/S0079-1946(98)00143-8 CrossRef
    8. Springer TA (2000) Modeling and validating orbits and clocks using the Global Positioning System, Geod?tisch-geophysikalische Arbeiten in der Schweiz, vol 60. Eidg.Technische Hochschule Zürich, Switzerland
  • 刊物类别:Earth and Environmental Science
  • 刊物主题:Earth sciences
    Geophysics and Geodesy
    Mathematical Applications in Geosciences
  • 出版者:Springer Berlin / Heidelberg
  • ISSN:1432-1394
文摘
Meindl et al. (Adv Space Res 51(7):1047-064, 2013) showed that the geocenter \(z\) -component estimated from observations of global navigation satellite systems (GNSS) is strongly correlated to a particular parameter of the solar radiation pressure (SRP) model developed by Beutler et al. (Manuscr Geod 19:367-86, 1994). They analyzed the forces caused by SRP and the impact on the satellites-orbits. The authors achieved their results using perturbation theory and celestial mechanics. Rebischung et al. (J Geod doi:10.1016/j.asr.2012.10.026, 2013) also deal with the geocenter determination with GNSS. The authors carried out a collinearity diagnosis of the associated parameter estimation problem. They conclude “without much exaggerating that current GNSS are insensitive to any component of geocenter motion- They explain this inability by the high degree of collinearity of the geocenter coordinates mainly with satellite clock corrections. Based on these results and additional experiments, they state that the conclusions drawn by Meindl et al. (Adv Space Res 51(7):1047-064, 2013) are questionable. We do not agree with these conclusions and present our arguments in this article. In the first part, we review and highlight the main characteristics of the studies performed by Meindl et al. (Adv Space Res 51(7):1047-064, 2013) to show that the experiments are quite different from those performed by Rebischung et al. (J Geod doi:10.1016/j.asr.2012.10.026,2013) . In the second part, we show that normal equation (NEQ) systems are regular when estimating geocenter coordinates, implying that the covariance matrices associated with the NEQ systems may be used to assess the sensitivity to geocenter coordinates in a standard way. The sensitivity of GNSS to the components of the geocenter is discussed. Finally, we comment on the arguments raised by Rebischung et al. (J Geod doi:10.1016/j.asr.2012.10.026, 2013) against the results of Meindl et al. (Adv Space Res 51(7):1047-064, 2013).

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