Numerical modeling of gravitational field lines – the effect of mass attraction on horizontal coordinates
There are two basic types of geodetic projections by which the points located on the Earth's surface can be projected onto a reference ellipsoid. Because of the different principles of Helmert's and Pizzetti's methods two sets of horizontal and vertical coordinates are obtained for the same set of surface points. The difference is investigated in terms of offsets of horizontal coordinates. For an estimation of the offsets the field lines going through topographic masses are determined by three different numerical methods in `flat Earth approximation' using a volume element model of the density distribution of the lithosphere in a part of central Europe. The maximum horizontal offset reaches 20 cm on the investigated area at the level of the geoid.
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