Abstract
A numerical study has been conducted in order to estimate how a gravity field model obtained from GOCE data can be improved in the range of low degrees by addition of GRACE data. The GRACE data are simulated as inter-satellite accelerations. Different types of noise in the inter-satellite accelerations are considered, including white noise. The gravity field model is represented as a series of spherical harmonics; the Stokes coefficients are computed by a least-squares adjustment. It is shown that the incorporation of GRACE data may improve a GOCE-based gravity field model up to degree 120 or even higher depending on the type of noise in the inter-satellite accelerations. Moreover, the joint model at lower degrees may show a significantly higher quality that either a stand-alone GOCE-based or a stand-alone GRACE-based model. It is important, however, that proper covariance matrices of the involved data sets are used in the joint data processing.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Bouman. Quality Assessment of Satellite-based Global Gravity Field Models, Ph.D Thesis. Delft University of Technology, 2000.
S. Cesare. Performance requirements and budgets for the gradiometric mission. Issue 2 GO-TN-AI-0027, Preliminary Design Review. Alenia, Turin, 2002.
P. Ditmar and R. Klees. A Method to Compute the Earth’s Gravity Field from SGG / SST data to be Acquired by the GOCE Satellite. Delft University Press, 2002.
P. Ditmar, J. Kusche, and R. Klees. Computation of spherical harmonic coefficients from gravity gradiometry data to be acquired by the GOCE satellite: regularization issues. Journal of Geodesy, 77:465–477, 2003.
A. Eicker, T. Mayer-Gürr, and K. H. Ilk. Global gravity field solutions from GRACE SST data and regional refinements by GOCE SGG observations. In C. Jekeli, L. Bastos, and I. Fernandes, editors, Gravity, Geoid, and Space Missions. GGSM 2004. IAG International Symposium, Porto, Portugal, August 30–September 3, 2004. International Association of Geodesy Symposia, volume 129, pages 66–71. Springer, Berlin, 2004.
ESA. Gravity field and steady-state ocean circulation missions. Reports for mission selection. The four candidate Earth explorer core missions, SP-I233(1). European Space Agency, Noordwijk, 1999.
C. Förste, F. Flechtner, R. Schmidt, U. Meyer, R. Stuben-voll, F. Barthelmes, R. König, K. H. Neumayer, M. Rothacher, C. Reigber, R. Biancale, S. Bruinsma, J.-M. Lemoine, and J. C. Raimondo. A New High Resolution Global Gravity Field Model Derived From Combination of GRACE and CHAMP Mission and Altimetry/Gravimetry Surface Gravity Data. Poster presented at EGU General Assembly 2005, Vienna, Austria, 24–29, April 2005. Available as http://www.gfz-potsdam.de/pbl/op/grace/results/grav/g004_EGU05-A-04561.pdf, 2005.
H. Moritz. Geodetic reference system 1980. Bull. Géod, 54:395–405, 1980a.
H. Moritz. Advanced Physical Geodesy. Herbert Wichmann Verlag Karlsruhe, 1980b.
J. Müller. GOCE gradients in various reference frames and their accuracies (available as http://www.copernicus.org/EGU/adgeo/2003/l/adg-l-33.pdf). Advances in Geosciences, 1:33–38, 2003.
C. Reigber, R. Schmidt, F. Flechtner, R. König, U. Meyer, K.-H. Neumayer, P. Schwintzer, and S. Y. Zhu. An earth gravity field model complete to degree and order 150 from GRACE: EIGEN-GRACE02S. Journal of Geody-namics, 39:1–10, 2005a.
C. Reigber, P. Schwintzer, R. Stubenvoll, R. Schmidt, F. Flechtner, U. Meyer, R. König, H. Neumayer, C. Förste, F. Barthelmes, S. Y. Zhu, G. Balmino, R. Biancale, J.-M. Lemoine, H. Meixner, and J. C. Raimondo. A high resolution global gravity field model combining CHAMP and GRACE satellite mission and surface gravity data: EIGEN-CG01C. Journal of Geodesy (accepted), 2005b.
N. J. Sneeuw. Validation of fast pre-mission error analysis of the GOCE gradiometry mission by a full gravity field recovery simulation. Journal of Geodynamics, 33:43–52, 2002.
H. Sünkel, editor. From Eötvös to mGal. Final report, ESA/ESTEC Contract 13392/98/NL/GD. European Space Agency, Noordwijk, 2000.
B. Tapley, J. Ries, S. Bettadpur, D. Chambers, M. Cheng, F. Condi, B. Gunter, Z. Kang, P. Nagel, R. Pastor, S. Poole, and F. Wang. GGM02-an improved Earth gravity field model from GRACE. Journal of Geodesy (in press), 2005.
B. D. Tapley, S. Bettadpur, M. Watkins, and C. Reigber. The gravity recovery and climate experiment: Mission overview and early results. Geophysical Research Letters, 31, 2004. L09607, doi: 10.1029/2004GL019920.
J. B. Thomas. An analysis of gravity-field estimation based on intersatellite Dual-1-Way biased ranging (JPL Publication 98-15). Jet Propulsion Laboratory. Pasedena, California, 1999.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Ditmar, P., Liu, X., Klees, R., Tenzer, R., Moore, P. (2007). Combined modeling of the Earth’s Gravity Field from GRACE and GOCE Satellite Observations: a Numerical Study. In: Tregoning, P., Rizos, C. (eds) Dynamic Planet. International Association of Geodesy Symposia, vol 130. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-49350-1_59
Download citation
DOI: https://doi.org/10.1007/978-3-540-49350-1_59
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-49349-5
Online ISBN: 978-3-540-49350-1
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)