Abstract
Usually the gravity potential is modelled by a spherical harmonic expansion. Simulation tests and real-data investigations based on POD (precise orbit determination) and SST (satellite-to-satellite tracking) data demonstrated that the heterogeneity of the gravity field cannot be properly taken into account by base functions with global support. It is preferable to model the gravity field only up to a moderate safely determinable spherical harmonic degree without any regularization to cover the long and medium wavelengths characteristics; the specific detailed features tailored to the individual gravity field characteristics in areas of rough gravity field signal can be modelled additionally by space localizing base functions. In a final step, a spherical harmonic expansion up to a maximum degree, only limited by the most detailed structures of the gravity field, can be derived based on a Gauss-Legendre-Quadrature procedure. This last step can be performed without stability problems and without losing the regional details of the gravity field. The proposed integrated gravity field recovery approach integrates consistently a regional gravity field zoom-in into a global gravity field solution. The technique has been applied to the determination of gravity field models based on SST data of GRACE.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Eicker A, Mayer-Gürr T, Ilk, KH (2005) Global Gravity Field Solutions Based on a Simulation Scenario of GRACE SST Data and Regional Refinements by GOCE SGG Observations, in C. Jekeli, et al.: Gravity, Geoid and Space Missions — GGSM2004, Porto, Portugal, IAG International Symposium, International Association of Geodesy Symposia, Vol. 129, pp. 66–71, Springer
Förste C, Flechtner F, Schmidt R, Meyer U, Stubenvoll R, Barthelmes F, Neumayer KH, Rothacher M, Reigber C, Biancale R, Bruinsma S, Lemoine JM, Raimondo JC (2005) 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
Freeden W, Gervens T, Schreiner M (1998) Constructive Approximatiuon on the Sphere, Oxford University Press, Oxford
Ilk KH, Mayer-Gürr T, Eicker A, Feuchtinger M, (2004) The Regional Refinement of Global Gravity Field Models from Kinematical Orbits, New Satellite Mission Results for the Geopotential Fields und Their Variations, Proceedings Joint CHAMP/GRACE Science Meeting, GFZ Potsdam, July 6–8
Koch KR, Kusche J (2003) Regularization of geopotential determination from satellite data by variance components, Journal of Geodesy 76(5):259–268
Mayer-Gürr T, Ilk KH, Eicker A, Feuchtinger M (2005a) ITG-CHAMP01: A CHAMP Gravity Field Model from Short Kinematical Ares of a One-Year Observation Period, Journal of Geodesy (2005) 78: 462–480, Springer-Verlag
Mayer-Gürr T, Eicker A, Ilk KH (2005b) Gravity field recovery from GRACE-SST data of short arcs, in: R. Rummel, et al. Observation of the Earth System from Space (in preparation), Springer
Reigber C, Schwintzer P, Lühr H (1999) The CHAMP geopotential mission, Boll. Geof. Teor. Appl., 40:285–289
Sneeuw N (1994) Global Spherical Harmonic Analysis by Least Squares and Numerical Quadrature Methods in Historical Perspective, Geophys. J. Int. 118: 707–716
Stroud AH, Secrest D (1966) Gaussian Quadrature Formulas, Prentice-Hall, Englewood Cliffs, N.J.
Tapley BD, Bettadpur S, Watkins M, Reigber Ch (2004) The gravity recovery and climate experiment: mission overview and early results., Geophys Res Lett 31, L09607: doil0.1029/2004GL019920
Tapley BD, Ries J, Bettadpur S, Chambers D, Cheng M, Condi F, Gunter B, Kang Z, Nagel P, Pastor R, Pekker T, Poole S, Wang F Ch (2005) GGM02 — An improved Earth gravity field model from GRACE, Journal of Geodesy (2005) 79(8): 467–478, Springer-Verlag
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
Ilk, K.H., Eicker, A., Mayer-Gürr, T. (2007). Global gravity field recovery by merging regional focusing patches: an integrated approach. 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_49
Download citation
DOI: https://doi.org/10.1007/978-3-540-49350-1_49
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)