Position computation on the ellipsoid using non-linear least square method

The ellipsoid is the best proper geometric shape for the earth, which can show us a very close estimate of the real surface of the earth. Determining the position on the ellipse surface is one of the most used actions that is performed on the ellipse.

In previous years, one of the main goals of creating geodetic networks and determining the position of the ellipse was to prepare a map. Currently, the preparation of maps in different dimensions and scales depends largely on geodetic coordinates.

But with the passage of time, the need for these coordinates and determining the position on the ellipse increased more than before, and in more applications, the use of techniques for measuring the coordinates on the ellipse was considered. Some applications of geodetic coordinates include the determination of boundaries, urban management, engineering projects, hydrography, ecology, and assessment of natural disasters such as earthquakes, etc.

In this project, we will use the technique of determining the position on the ellipse using different observations of length, vertical angle, horizontal angle, azimuth, baseline, and observations related to determining coordinates. The purpose of this project is to solve 3D geodetic networks and estimate the 3D Cartesian coordinates of the network points and determine their position on the ellipse using the non-linear least squares method.

 

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