Abstract
Gravity gradiometry is strongly sensitive to the gravity field induced by the topographic and isostatic masses of the Earth. The downward continuation of the gravitational signals from satellite height to sea level is rather difficult because of the high frequency behaviour of the combined topographic-isostatic effect. Therefore a topographic-isostatic reduction is proposed in order to smooth the signals. Based on different isostatic models (Airy-Heiskanen, Pratt-Hayford, Airy-Heiskanen/Pratt-Hayford), the generalized Helmert model and the crust density model via CRUST2.0 the topographic-isostatic effects are calculated for a GOCE-like satellite orbit. Using tesseroids modelled by Gauβ-Legendre cubature (3D) leads to high numerical efficiency. For the Marussi tensor of the gravitational potential the order of magnitude of both topographic and isostatic components is about ±8 E.U., while the combined topographic-isostatic effect varies from ±0.08 E.U. (Helmert II), ±0.8 E.U. (Airy-Heiskanen, Pratt-Hayford, Airy-Heiskanen/Pratt-Hayford, Helmert I) and ±4 E.U. (crust density model). In this paper, the focus is put on the gravitational effect of massive bodies in regard to the comparison between the classical isostatic models, the condensation models of Helmert and the crust density model.
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Wild, F., Heck, B. (2008). Topographic and Isostatic Reductions for Use in Satellite Gravity Gradiometry. In: Xu, P., Liu, J., Dermanis, A. (eds) VI Hotine-Marussi Symposium on Theoretical and Computational Geodesy. International Association of Geodesy Symposia, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74584-6_8
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DOI: https://doi.org/10.1007/978-3-540-74584-6_8
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