Movement and Deformation Rules of Gauss Coordinates Based on Ellipsoid Expanded Modal

Abstract:

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.

• Periodical: Advanced Materials Research (Volumes 368-373)
• Pages: 2211-2215
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.368-373.2211
• Online since: October 2011
• Authors: Li Xin Jin, Lian Jun Wang, Song Lin Yang
• Keywords: Coordinates System, Ellipsoid Expanded Modal, Gauss Coordinates, Projection Deformation

References

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