Displace Regulation of Gauss Coordinates Based on Ellipsoid Expanded Modal
This paper studies on deducing the analytic formulae on Gauss coordinates displacement before or after the increase of major radius of ellipsoid expanded modals, which is based on the partial derivatives of geodetic coordinates in Gauss coordinates deducing from direct solution formulae of the Gauss projection coordinates in conjunction with differential coefficient formulae and variable of geodetic coordinates. On this theoretical foundation, analyzing the relationships between Gauss coordinates displacement and other mathematical parameter . The relationship of graphics between point displacement components of latitudinal coordinate dy and longitudes is similar to the straight lines. The relationship of graphics between point displacement components of longitudinal coordinate dx and latitudinal coordinate dy, and the geodetic height is similar to the straight lines.
Paul P. Lin and Chunliang Zhang
L. X. Jin et al., "Displace Regulation of Gauss Coordinates Based on Ellipsoid Expanded Modal", Applied Mechanics and Materials, Vols. 105-107, pp. 1333-1337, 2012