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Abstract

The accuracy of computed terrain corrections might be an important issue when modelling precise gravimetric geoid, especially for evaluating the quality of geoid model developed. It depends on the accuracy of heights and positions of gravity points used and on the quality of digital terrain model applied. The work presents the attempts towards the estimation of the effect of uncertainty in height and position of gravity points as well as uncertainty of digital terrain model on the accuracy of computed terrain corrections. Analytical formulae for the respective error propagation were developed and they were supported, when needed, by numerical evaluations. Propagation of height data errors on calculated terrain corrections was independently conducted purely numerically. Numerical calculations were performed with the use of data from gravity database for Poland and digital terrain models DTED2 and SRTM3. The results obtained using analytical estimation are compatible with the respective ones obtained using pure numerical estimation. The terrain correction error resulting from the errors in input data generally does not exceed I mGal for Poland. The estimated accuracy of terrain corrections computed using height data available for Poland is sufficient for modelling gravimetric geoid with a centimetre accuracy.
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Authors and Affiliations

Małgorzata Szelachowska
Jan Kryński
ORCID: ORCID

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