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Deformations of geodetic networks in gravity-invariant and potential-invariant representations

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Abstract

The analysis of deformations and reductions of the geodetic networks in general gravity-invariant and potential-invariant representations of the actual gravity field of the Earth by normal (theoretical) gravity field has been presented.

It has been shown that the linearized formulae of the scale factor and linearized formulae of the transformed azimuth and zenith distance induce the conformal character of transformation of three-dimensional networks in isozenithal-type of gravity-invariant representation. In isozenithal-type of gravity-invariant and potential-invariant representations the two-dimensional (horizontal) networks are transformed conformally. In isoparametric cases of gravity-invariant and potential-invariant representations, the two-dimensional networks are transformed equivalently with respect to the scale and angles, but non-conformally.

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  1. Institute of Geodesy and Applied Mathematics, Academy of Agriculture, ul. Grunwaldzka 53, 50-357, Wrocław, Poland

    E. Osada

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  1. E. Osada
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Osada, E. Deformations of geodetic networks in gravity-invariant and potential-invariant representations. Bull. Geodesique 54, 510–520 (1980). https://doi.org/10.1007/BF02530708

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  • DOI: https://doi.org/10.1007/BF02530708

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