journal article·2025-03-19Open access

Determination of Length Correction from the Projection and Deformation of Geodetic Controls in the Realization of Precision Linear Structures—A Case Study of the Coordinate System S-JTSK, Czech Republic

Jakub Kostelecky, Pavel Cernota, Hana Stankova

Applied Sciences· Volume 15· Issue 6

Abstract

Long linear constructions, particularly high-speed railway lines, place very high demands on the accuracy of the fundamental geodetic controls on which they are based. In general, national reference coordinate systems possess deformations (relative inconsistencies) due to historical factors—primarily the low accuracy of the measurement methods that were used at the time of their development. The reference coordinate system S-JTSK used in the Czech Republic comprises local deformations that are determined using a modern space geodesy method—the Global Navigation Satellite Systems (GNSS). An analysis of the local deformations revealed that, in the Czech Republic, 99% of the length corrections from the coordinate system deformations are in the interval of −1.4 to +1.4 cm/km with a standard deviation of up to 1.4 cm/km. The extreme value in this regard is the length correction from the deformation of +2.5 cm/km and the standard deviation of 3.6 cm/km. These values exceed the required accuracy of 1 cm/km, and the length corrections from the deformations, together with the length corrections from the used projection, must be taken into account when undertaking surveying work on high-speed railway lines in the Czech Republic (also with the height correction for lengths). The magnitude of the scatter also indicates the distortion of the S-JTSK projection conformality due to the deformations.
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Research context

OpenAlex topics: Historical Geography and Cartography · Geodetic Measurements and Engineering Structures · Geophysics and Gravity Measurements

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Affiliations

Department of Geodesy and Mine Surveying, Faculty of Mining and Geology, VSB—Technical University of Ostrava, 17. listopadu 2172/15, CZ-70000 Ostrava-Poruba, Czech Republic

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