Quasi Geoid in the State of São Paulo and the Evaluation of Recent GOCE Models
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Abstract
Since 2008, some eff orts have been made in terms of gravimetric measurements in the State of São Paulo in order
to improve the geoid model. The gravity coverage is fairly complete for a resolution of 5 ‘. In addition, fi eldwork is
underway to fi ll gaps in the neighboring states in a 100 km radius. This is a result of FAPESP (Research Support Foundation
of the State of São Paulo) Thematic Project, which aimed to make the establishment of a geoid model, a height
system and a study of the possible vertical movement of the crust. The project involved several laboratories of brazilian
universities. These eff orts resulted in a geoid model called GEOIDSP bounded by 19° S and 26° S in latitude and 44°
W and 54 °W in longitude, which was derived by two methods: the modifi ed Stokes via Fast Fourier Transform (FFT)
and the Least Squares Collocation (LSQ). The spectral decomposition was used in the computation models, where the
long wavelength component were represented by EGM2008 and the latest models based on GOCE mission to degree
and order 200. The models were evaluates in terms of absolute comparisons with GPS on benchmarks. The results show
coherence among them. Another objective of this study was to verify the capability of GOCE based models. In all, 11
models were tested beyond EGM2008. The evaluation was performed in terms of height anomaly obtained by global
geopotential models and geoid height from GPS on benchmarks. The results show that TIM_R4 and R5, DIR_R4 and
R5 and EIGEN_6c3STAT models are more consistent when compared to the GPS on benchmark stations.
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