Estonian Geoid Model by the Least Squares Modification of Stokes' Formula

摘要

The Estonian gravimetric geoid model EST-01 has been computed by combining the EGM96 geopotential model and terrestrial gravity data in 1.5' * 3' grid. The improved gravity data coverage in the Baltic Sea region during the past few years is comprised in the study. The least squares modification of Stokes' formula is utilized, where the errors from geopotential coefficients, terrestrial gravity data and integral truncation are minimized in the least squares sense. The EST-01 model is fitted to a set of 26 high-precision GPS-levelling points, yielding an accuracy of 3.0 cm for the post-fitting residuals, which indicates the suitability of EST-01 for many practical applications.