An Alteration of Gauss Projection Based on Oblique Deformed Ellipsoid

Abstract

For east-west spanning line, to reduce abscissa value of Gauss projection, the oblique reference ellipsoid was constructed by means of least square method. Via theory of coordinate system transformation, spatial rectangular coordinates of target region in each coordinate system were carried out, and then geodetic coordinates of target region on oblique reference ellipsoid were relatively given. Through ellipsoid transformation, oblique deformed ellipsoid was established to lessen distortion of projection caused by height. Taking one railway for example, it were shown that "An alteration of Gauss projection based on oblique deformed ellipsoid" could greatly deplete abscissa components, avoid zoning of Gauss projection and reduce height effectively, as well as the relevant distortion it caused. Strict mathematical model and clear operation process of the Gauss projection are convenient for programming of relative software, which can be applied in engineering