A geoid solution for airborne gravity data |
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| Authors: | Lars E Sjöberg Mehdi Eshagh |
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| Institution: | (1) Division of Geodesy, Royal Institute of Technology, SE-100 44 Stockholm, Sweden |
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| Abstract: | Airborne gravity data is usually attached with satellite positioning of data points, which allow for the direct determination
of the gravity disturbance at flight level. Assuming a suitable gridding of such data, Hotine’s modified integral formula
can be combined with an Earth Gravity Model for the computation of the disturbing potential (T) at flight level. Based on
T and the gravity disturbance data, we directly downward continue T to the geoid, and we present the final solution for the
geoid height, including topographic corrections. It can be proved that the Taylor expansion of T converges if the flight level
is at least twice the height of the topography, and the terrain potential will not contribute to the topographic correction.
Hence, the simple topographic bias of the Bouguer shell yields the only topographic correction. Some numerical results demonstrate
the technique used for downward continuation and topographic correction. |
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| Keywords: | airborne gravity analytical continuation topographic correction topographic bias |
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