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Submonthly GRACE Solutions from Localizing Integral Equations and Kalman Filtering

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Earth on the Edge: Science for a Sustainable Planet

Abstract

An alternative approach for the analysis of GRACE inter-satellite range observations being processed in combination with current best knowledge GRACE orbits from improved GPS relative integer ambiguity fixing has been elaborated. The observations are first reduced by available background geophysical models and subsequently inverted as well as downward continued by a rigorous formulation in terms of reproducing kernel functions. Additionally, time-variable gravity field anomaly maps with respect to the subtracted background data have been derived. The observation equations are due to their spatial representation well suited for a Kalman-filter solution that can possibly enhance time resolution towards sub-monthly time series. The theoretical foundation of the method along with first numerical results and comparison to standard GRACE products are presented.

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Acknowledgements

We would like to thank the German Space Operations Center (GSOC) of the German Aerospace Center (DLR) for providing continuously and nearly 100 % of the raw telemetry data of the twin GRACE satellites, and Dr. E. Kurtenbach, University Bonn, for discussion and comparison. Three anonymous reviewers have substantially aided in improving the manuscript. P. Novák was supported by the Czech Science Foundation (209/12/1929).

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Correspondence to Christian Gruber .

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Gruber, C. et al. (2014). Submonthly GRACE Solutions from Localizing Integral Equations and Kalman Filtering. In: Rizos, C., Willis, P. (eds) Earth on the Edge: Science for a Sustainable Planet. International Association of Geodesy Symposia, vol 139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37222-3_51

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