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The development and the projective methods of geodesy and their effect on large triangulation and trilateration networks
Abstract The projective methods of Helmert and Pizzetti enable the measured elements of a geodetic network to be reduced rigorously to the surface of a reference ellipsoid. However, in most existing triangulation networks, the routine development method has been used for this purpose. Some of the differences between the development and projective methods are investigated by interpreting the results of two numerical examples. It is concluded that use of the development method may cause appreciable discrepancies to occur within geodetic networks, depending primarily upon the extent of the networks, the orientation of the ellipsoid used, and the magnitude of the geoid undulations.
The development and the projective methods of geodesy and their effect on large triangulation and trilateration networks
Abstract The projective methods of Helmert and Pizzetti enable the measured elements of a geodetic network to be reduced rigorously to the surface of a reference ellipsoid. However, in most existing triangulation networks, the routine development method has been used for this purpose. Some of the differences between the development and projective methods are investigated by interpreting the results of two numerical examples. It is concluded that use of the development method may cause appreciable discrepancies to occur within geodetic networks, depending primarily upon the extent of the networks, the orientation of the ellipsoid used, and the magnitude of the geoid undulations.
The development and the projective methods of geodesy and their effect on large triangulation and trilateration networks
Wilcox, Luman E. (author)
1963
Article (Journal)
Electronic Resource
English
Geodäsie , Geometrie , Geodynamik , Mathematik , Mineralogie
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