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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Dahle C, Flechtner F, Gruber C, König D, König R, Michalak G, Neumayer K-H (2012) The New GFZ RL05 GRACE gravity field model time series. EGU General Assembly 2012, Vienna, Austria, 23–27 April
Förste C, Bruinsma S, Shako R, Marty J, Flechtner F, Abrikosov O, Dahle C, Lemoine J-M, Neumayer H, Biancale R, Barthelmes F, König R, Balmino G (2011) EIGEN_6, A new combined global gravity field model including GOCE data from the collaboration of GFZ-Potsdam and GRGS-Toulouse. EGU2011-3242, EGU General Assembly 2011, 3rd–8th April 2011, Vienna, Austria
Koop R, Stelpstra D (1989) On the computation of the gravitational potential and its first and second order derivatives. Manuscr Geodes 14:373–382
Krakiwsky E (1990) The method of least squares: a synthesis of advances, Department of Surveying Engineering, UCGE Report No. 10003, The University of Calgary, August 1990
Kurtenbach E, Mayer-Gürr T, Eicker A (2009) Deriving daily snapshots of the Earth gravity field from GRACE L1B data using Kalman filtering. Geophys Res Lett 36:L17102
Kurtenbach E, Eicker A, Mayer-Gürr T, Holschneider M, Hayn M, Fuhrmann M, Kusche J (2012) Improved daily GRACE gravity field solutions using a Kalman smoother. J Geodyn (in press). http://dx.doi.org/10.1016/j.bbr.2011.03.031
Kusche J, Schmidt R, Petrovic S, Rietbroek R (2009) Decorrelated GRACE time-variable gravity solutions by GFZ, and their validation using a hydrological model. J Geod. doi:10.1007/s00190-009-0308-3
Moritz H (1989) Advanced physical geodesy, 2nd edn. Wichmann, Karlsruhe
Novák P (2007) Integral inversion Of SST data of type GRACE. Stud Geophys Geodes 51:351–367
Rummel R (1975) Downward continuation of gravity information from satellite-to-satellite—tracking or satellite gradiometry in local areas, Reports of the Department of Geodetic Science Rep. No. 221, The Ohio State University, Columbus
Tapley BD, Reigber C, Ries JC (2003) The GRACE mission: status and early results. AAS/Division of Dynamical Astronomy Meeting
Zhu S, Reigber C, Koenig R (2004) Integrated adjustment of CHAMP, GRACE, and GPS data. J Geodes 78(1–2):103–108
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).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-642-37222-3_51
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-37221-6
Online ISBN: 978-3-642-37222-3
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)