La G\'eom\'etrie de Compensation Non-Lin\'eaire - Le Probl\`eme Spatial d'Intersection dans l'Option de la G\'eod\'esie Tridimensionnelle

Abstract

In an article, E. Grafarend and B. Schaffrin studied the geometry of non-linear adjustment of the planar trisection problem using the Gauss Markov model and the method of the least squares. This paper develops the same method working on an example of the determination of a point by trilateration in the three-dimensional geodetic option for determining the coordinates $(x, y, z)$ of an unknown point from measurements known distances to $n$ points.