Abstract
The topographic plane of the Earth has irregular shape, and for the purpose of mathematical defining, it is to be approximated by rotational ellipsoid. As local geodetic datum, rotational ellipsoids of various sizes are used in the world. More widely usage of the GPS while performing surveying tasks has resulted in the need to define global geodetic datum in order to obtain the best approximation the entire Earth. For this purpose, geocentric rotational ellipsoid WGS84 was defined and the results of the GPS measurements are shown in relation to it. By applying the appropriate equations, the ellipsoidal coordinates are being transformed from WGS84 into the coordinates on the local rotational ellipsoid, i.e. on the view plane. The paper shows User Defined Function created for Excel, by which the coordinates in the territory of Belgrade are being transformed from WGS84 of rotational ellipsoid into the Gauss-Kruger projection plane.
Highlights
The satellite geodesy today, has a significant role for the navigation and point positioning on Earth
In individual cases, there were only ellipsoid coordinates of wells at the disposal. This has initiated creation of the WGS2GK function, which is used in Excel and by using which the transformation of ellipsoid coordinates on WGS84 ellipsoid is made into Cartesian coordinates within the plane of Gauss-Krüger projection
The transformation of ellipsoidal coordinates determined by GPS devices into rectangular coordinates within the plane of Gaus-Krüger projection is performed by this function
Summary
The satellite geodesy today, has a significant role for the navigation and point positioning on Earth. Regardless if the surveying is performed by using absolute or differential static, kinematic or kinematic method in real time (RTK), positions of points, i.e. of the receiver, are determined in relation to the rotational ellipsoid WGS84 (World Geodetic System 1984) (Božić, 2006). Some of them were made for the purposes of geotechnical testing of bearing capacity and stability of the terrain for the purpose of construction of the new bridge over Ada Ciganlija. The positioning of those wells was made by using methods of satellite geodesy. This has initiated creation of the WGS2GK function, which is used in Excel and by using which the transformation of ellipsoid coordinates on WGS84 ellipsoid is made into Cartesian coordinates within the plane of Gauss-Krüger projection
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