Seen from the above theoretic result deduced, there is a similar shifting relation between them in essence. The role of gauss and kruger is made clear in developing gauss kruger projection. This paper describes a new algorithm for calculating all equations direct and inverse transformation, convergence of meridians, linear distortion, calculus of. Epsg geodetic parameters international association of oil and gas producers data set version 8. The gauss kruger parameter definition button becomes active once. The gauss kruger projection is a conformal mapping of a reference ellipsoid of the earth onto a plane where the equator and central meridian remain as straight lines and the scale along the central meridian is constant. The transverse version is widely used in national and international mapping systems around the world, including the utm. Relationship and applications of utm projection and gauss. The gauss kruger projection appears to have two different forms. Contribute to prclibogausskrueger development by creating an account on github. The inherited map projection is gausskruger of 3 degrees meridian zones with linear scale 0. Pdf the gausskrueger projection rod deakin academia.
Gauss kruger projection is transverse cylindrical conformal projection that is tangent to prime meridian,and project surface of utm projection is the secant elliptic cylindrical surface that is tangent to two paralleling ellipses. The gausskruger projection is similar to the mercator, except that the. The other is equations limited to millimetre accuracy within 3 6 of a. Descargue como pdf, txt o lea en linea desde scribd. Gauss developed the projection and kruger had brought gauss s posthumous work into the open. Gauss kruger coordinate systems and the universal transverse mercator.
The transverse mercator map projection is an adaptation of the standard mercator projection. The specific parameters are set in the geographic defaults dialog box. Summary of projected epsg geodetic parameters coordinate. When paired with a suitable geodetic datum, the transverse mercator delivers high accuracy in zones less than a few degrees in eastwest extent. Concise derivation of extensive coordinate conversion formulae in. Gauss kruger o utm agrimensor ruben clemente rodriguez personal superior del igm. We show a derivation of the karney krueger equations for the tm projection that give micrometre. Gauss kruger projection the gauss kruger coordinate system is implemented as a generalized transverse mercator projection.
One is a set of equations capable of micrometre accuracy anywhere within 30 of a central meridian of longitude. The transverse mercator or gausskruger projection is a conformal mapping of the earth ellipsoid where a central meridian is mapped into a straight line at. Transverse mercator with an accuracy of a few nanometers arxiv. The transverse mercator projection of the sphere was described by lambert in 1772, and is occasionally known as the lambert i projection lee, 1962. Gauss kruger by ernesto guillermo abril voegeli issuu. Summary of projected coordinate reference systems search criteria. Gauss kruger projection for areas of wide longitudinal extent. Gauss left few details of his original developments and schreiber 1866, 1897 published analyses of gauss methods, and louis krueger 1912 reevaluated both gauss and schreibers work, hence the name gauss krueger as a synonym for the tm projection. Relationships between the old gausskruger projection and. Concise derivation of extensive coordinate conversion formulae in the gausskruger.
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