In the master thesis, we address deflections of the vertical, focusing particularly on their importance in geodetic tasks that require high precision. The theoretical section presents the fundamentals of the Earth's gravitational field, the definitions and properties of deflections of the vertical, and the mathematical methods for their determination. Subsequently, procedures for calculating deflection of the vertical values over the territory of Slovenia using various approaches are presented: from global geopotential models (EGM2008, XGM2019, EIGEN-6S4 (v2)), from the European quasigeoid model EGG2015, and from the national height reference surface SLO_VRP2016/Koper. The results were compared with deflections of the vertical calculated using the local plane method. Special attention was placed on analyzing the influence of deflections of the vertical on terrestrial geodetic measurements, which is demonstrated through a practical example of a geodetic network on Kras. The network adjustment was performed using the least squares method in three-dimensional space, both with and without accounting for deflections of the vertical, allowing for an assessment of their influence on the adjusted coordinate values.
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