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On integral approach to regional gravity field modelling from satellite gradiometric data

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Abstract

Solution of the gradiometric boundary value problems leads to three integral formulas. If we are satisfied with obtaining a smooth solution for the Earth’s gravity field, we can use the formulas in regional gravity field modelling. In such a case, satellite gradiometric data are integrated on a sphere at satellite level and continued downward to the disturbing potential (geoid) at sea level simultaneously. This paper investigates the gravity field modelling from a full tensor of gravity at satellite level. It studies the truncation bias of the integrals as well as the filtering of noise of data. Numerical studies show that by integrating T zz with 1 mE noise and in a cap size of 7°, the geoid can be recovered with an error of 12 cm after the filtering process. Similarly, the errors of the recovered geoids from T xz,yz and T xx-yy, 2xy are 13 and 21 cm, respectively.

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  1. Division of Geodesy, Royal Institute of Technology (KTH), Stockholm, Sweden

    Mehdi Eshagh

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Eshagh, M. On integral approach to regional gravity field modelling from satellite gradiometric data. Acta Geophys. 59, 29–54 (2011). https://doi.org/10.2478/s11600-010-0033-6

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