Cross-Overs Assess Quality of GOCE Gradients

  • Phillip Brieden
  • Jürgen Müller
Part of the Advanced Technologies in Earth Sciences book series (ATES)


We address the important issue of quality assessment of GOCE gravitational gradients. To assess the gradients quality before being used in geophysical research and geodetic applications, a validation method is investigated that compares gradients in satellite track cross-overs (XO). The comparison of two three-dimensional measurements like the GOCE gradient tensors has to be performed in a common coordinate system, which requires tensor rotation. The XO residuals are then analyzed. An anomaly in the \({{\varvec{V}}}_{yy}\) component is identified affecting gradients in vicinity of the geographical and magnetic poles that spread to other tensor components (mainly \({{\varvec{V}}}_{xx}\) and \({{\varvec{V}}}_{xz})\) in the context of tensor rotation. The analysis of all non-anomaly-affected XO residuals underlines the very good quality of the GOCE gravitational gradients: \(\Delta {{\varvec{V}}}_{xx}\) and \(\Delta {{\varvec{V}}}_{yy}\) have an RMS of only 3.2 mE, the RMS of \(\Delta {{\varvec{V}}}_{zz}\) is only slightly worse with 5.3 mE.


Root Mean Square Gravity Field Satellite Track Tensor Rotation Latitudinal Band 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The project REAL GOCE is part of the R&D-Programme GEOTECHNOLOGIEN, funded by the German Ministry of Education and Research (BMBF) and the German Research Foundation (DFG), Grant (03G0726C) of project REAL GOCE.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Institut für Erdmessung (IfE)Leibniz Universität HannoverHannoverGermany

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