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Differences of geoid height anomalies of atmosphere-removed and hydrospheric models, as a function of the spherical harmonic degree l. The largest signal produced by the NIB-removed minus hydrosphere case (filled diamond). Similarly the hydrosphere was also subtracted from the intermediate atmosphere removed models. These are indicated with squares for the basin models (filled – 2000, blank – 500) and with triangles for the shallow water models (filled – 2000, blank – 500).  

Differences of geoid height anomalies of atmosphere-removed and hydrospheric models, as a function of the spherical harmonic degree l. The largest signal produced by the NIB-removed minus hydrosphere case (filled diamond). Similarly the hydrosphere was also subtracted from the intermediate atmosphere removed models. These are indicated with squares for the basin models (filled – 2000, blank – 500) and with triangles for the shallow water models (filled – 2000, blank – 500).  

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The forthcoming Gravity Recovery and Climate Experience (GRACE) gravity satellite will detect seasonal variations of the gravity field with very high accuracy. Seasonal variations of the mass redistribution would be useful data for several disciplines of geophysics and geodesy, if the seasonal mass variation could be unequivocally separated into it...

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... to the degree geoid height anomaly spectra in Fig. 1, that of the atmosphere removed models were computed by (3). These models describe several models for the 'recovered' hydrospheric gravity. Therefore, their differences with the 'real' hydrospheric gravity describe the atmospheric correction errors, and are shown in Fig. ...
Context 2
... due to lack of information, it is impossible to prefer any of the intermediate models. However, the inexactness of an intermediate model definition yields much smaller errors than using any of the extreme cases (see Fig.3 and Table 1). ...

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The scientific sensation of this decade in geodesy is the launch of gravity satellites. Three missions have been and/or are planned to be launched. These are the CHAMP (CHAllenging Mini-satellite Payload), a High-Low SST (Satellite-to-satellite) mission, which has been launched in 2000, the GRACE (Gravity Recovery And Climate Experiment), a Low-Low SST pair satellite, which has been launched in 2002, and finally the GOCE (Gravity field and steady-state Ocean Circulation Explorer) gradiometry satellite will be launched in 2006. What results are provided by these satellites for the geoscience? What further improvements can be expected? What can be a follow-on of these missions? What should space gravimetry focus on after them? An introduction of the three missions, their prospective results and their effect on geodesy are discussed in this paper.
Chapter
We tried to model an artificial geoid signal and than decompose it into its causes. First we modeled the geoid heights changes caused by the hydrosphere and the atmosphere, and composed them to simulate the measurable signals by GRACE. Then, we decomposed the signals by considering the following properties; 1) different ocean responses to atmospheric pressure changes, and 2) different time-frequencies of the variations of the hydrospheric contributors. These tests prove that an appropriate assumption for the ocean response is important to minimize decomposition errors. Since atmospheric errors necessarily affect the recovered hydrospheric signal, minimization of these errors by mathematical tricks is desired.