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86400 A collinearity diagnosis of the GNSS geocenter determination | Journal of Geodesy
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A collinearity diagnosis of the GNSS geocenter determination

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Abstract

The problem of observing geocenter motion from global navigation satellite system (GNSS) solutions through the network shift approach is addressed from the perspective of collinearity (or multicollinearity) among the parameters of a least-squares regression. A collinearity diagnosis, based on the notion of variance inflation factor, is therefore developed and allows handling several peculiarities of the GNSS geocenter determination problem. Its application reveals that the determination of all three components of geocenter motion with GNSS suffers from serious collinearity issues, with a comparable level as in the problem of determining the terrestrial scale simultaneously with the GNSS satellite phase center offsets. The inability of current GNSS, as opposed to satellite laser ranging, to properly sense geocenter motion is mostly explained by the estimation, in the GNSS case, of epoch-wise station and satellite clock offsets simultaneously with tropospheric parameters. The empirical satellite accelerations, as estimated by most Analysis Centers of the International GNSS Service, slightly amplify the collinearity of the \(Z\) geocenter coordinate, but their role remains secondary.

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Authors and Affiliations

  1. IGN LAREG, Univ Paris Diderot, Sorbonne Paris Cité, 5 rue Thomas Mann, 75205 , Paris Cedex 13, France

    Paul Rebischung & Zuheir Altamimi

  2. European Space Operations Centre (ESOC), Robert-Bosch-Strasse 5, 64293 , Darmstadt, Germany

    Tim Springer

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  1. Paul Rebischung
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  2. Zuheir Altamimi
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  3. Tim Springer
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Correspondence to Paul Rebischung.

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Rebischung, P., Altamimi, Z. & Springer, T. A collinearity diagnosis of the GNSS geocenter determination. J Geod 88, 65–85 (2014). https://doi.org/10.1007/s00190-013-0669-5

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