Abstract
The aim of the Gravity Field and Steady-State Ocean Circulation Explorer (GOCE) Mission is to provide global and regional models of the Earth’s time-averaged gravity field and of the geoid with high spatial resolution and accuracy. The approach based on the rotational invariants of the gravitational tensor constitutes an independent alternative to conventional analysis methods. Due to the colored noise characteristic of individual gradiometer observations, the stochastic model assembly of the rotational invariants is a highly challenging task on its own. In principle, the invariants’ variance-covariance (VC) information can be deduced from the gravitational gradients (GG) by error propagation. But the huge number of gradiometer data and the corresponding size of the VC matrix prohibit this approach. The time series of these invariants, however, display similar stochastic characteristics as the gravitational gradients. They can thus be decorrelated by means of numerical filters. A moving-average (MA) filter of order 50 has been estimated and a filter cascade (high-pass and MA filters) has been developed. This filter cascade has been implemented in the decorrelation of the GOCE tensor invariant observation model.
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Notes
- 1.
At this location we need a reference to Oli’s pioneering work, e.g. the Baur/Grafarend/Sneeuw paper in JoG.
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Acknowledgments
We gratefully acknowledge the financial support of the BMBF (Bundesministerium für Bildung und Forschung) and the DFG (Deutsche ForschungsGemeinschaft). Within the GEOTECHNOLOGIEN programme. Furthermore, we kindly acknowledge helpful support in the estimation of the filter by W.-D. Schuh and I. Krasbutter.
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Cai, J., Sneeuw, N. (2014). Stochastic Modeling of GOCE Gravitational Tensor Invariants. In: Flechtner, F., Sneeuw, N., Schuh, WD. (eds) Observation of the System Earth from Space - CHAMP, GRACE, GOCE and future missions. Advanced Technologies in Earth Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32135-1_15
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