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Evaluation of the accuracy of the EIGEN-1S and -2 CHAMP-derived gravity field models by satellite crossover altimetry
Authors:J Klokoník  J Kostelecký  CA Wagner  P Schwintzer  Ch Förste and R Scharroo
Institution:(1) CEDR—Astronomical Institute of the Academy of Sciences of the Czech Republic, CZ-251 65 Ondrcaronejov Observatory, Czech Republic;(2) CEDR—Research Institute of Geodesy, Topography and Cartography, CZ-250 66 Zdiby 98, Czech Republic;(3) Department of Higher Geodesy, Czech Technical University, CZ-166 29 Prague 6, Thákurova 7, Czech Republic;(4) NOAA/NESDIS, Laboratory for Satellite Altimetry, East–West Highway, Silver Spring, MD 20910, USA;(5) Dept. 1: lsquoGeodesy and Remote Sensingrsquo, GeoForschungsZentrum Potsdam (GFZ), Telegrafenberg A17, D-14473 Potsdam, Germany;(6) Delft Institute for Earth-Oriented Space Research (DEOS), Delft University of Technology, Kluyverweg 1, 2629, HS, Delft, The Netherlands
Abstract:Since the advent of CHAMP, the first in a series of low-altitude satellites being almost continuously and precisely tracked by GPS, a new generation of long-wavelength gravitational geopotential models can be derived. The accuracy evaluation of these models depends to a large extent on the comparison with external data of comparable quality. Here, two CHAMP-derived models, EIGEN-1S and EIGEN-2, are tested with independent long-term-averaged single satellite crossover (SSC) sea heights from three altimetric satellites (ERS-1, ERS-2 and Geosat). The analyses show that long-term averages of crossover residuals still are powerful data to test CHAMP gravity field models. The new models are tested in the spatial domain with the aid of ERS-1/-2 and Geosat SSCs, and in the spectral domain with latitude-lumped coefficient (LLC) corrections derived from the SSCs. The LLC corrections allow a representation of the satellite-orbit-specific error spectra per order of the modelrsquos spherical harmonic coefficients. These lsquoobservedrsquo LLC corrections are compared to the LLC projections from the modelrsquos variance–covariance matrix. The excessively large LLC errors at order 2 found in the case of EIGEN-2 with the ERS data are discussed. The degree-dependent scaling factors for the variance-covariance matrices of EIGEN-1S and –2, applied to obtain more realistic error estimates of the solved-for coefficients, are compatible with the results found here.
Keywords:Gravity field models  Accuracy assessment  Satellite crossover altimetry  Latitude-lumped coefficients  CHAMP
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