Coordinate Transformation of GPS Measurement Results using the Cartesian-to-Ellipsoidal Transformation System

Thomas U. Omali¹

Section:Research Paper, Product Type: Journal-Paper
Vol.10 , Issue.4 , pp.9-13, Aug-2023

Online published on Aug 31, 2023

Copyright © Thomas U. Omali . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
GPS is generally applied in geodetic techniques for determining the three-dimensional location of points on the earth’s surface. While the points are fixed in a global geocentric coordinate system, most work requires positional data based on the local coordinate system in terms of geodetic or local plane coordinates. As a result, conversion of coordinates of points from the geocentric coordinate system to the geodetic coordinate system becomes a necessity. It is normally achieved by using the method of coordinate transformation based on a mathematical model that creates a geometrical link between the coordinates of points in different reference frames. This study is aimed at the transformation of Global Positioning System measurement results based on the Cartesian-to-Ellipsoidal transformation model. Specifically, the iterative and closed-form solutions are presented. It was revealed that using the closed-form systems are fast and effective because the used parameters are directly recovered by using precise formulae without solving any nonlinear equation. However, the iterative algorithms has shown more advantages as it can produce precise information about the unknowns.

Key-Words / Index Term :
Closed solution, iterative solution, local coordinate system, transformation parameters, WGS-84, reference frame

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