<abstract xmlns="http://www.w3.org/1999/xhtml"><p>During the process of satellite navigation, and also in the many tasks of classical positioning, we need to calculate the corrections to the initial (or approximate) location of the point using precise measurement of distances to the permanent points of reference (reference points). In this paper the authors have provided a way of developing Hausbrandt's equations, on the basis of which the exact coordinates of the point in two-dimensional space can be determined by using the computed correction to the coordinates of the auxiliary point. The authors developed generalised equations for threedimensional space introducing additional fixed point and have presented proof of derived formulas.</p></abstract>

During the process of satellite navigation, and also in the many tasks of classical positioning, we need to calculate the corrections to the initial (or approximate) location of the point using precise measurement of distances to the permanent points of reference (reference points). In this paper the authors have provided a way of developing Hausbrandt's equations, on the basis of which the exact coordinates of the point in two-dimensional space can be determined by using the computed correction to the coordinates of the auxiliary point. The authors developed generalised equations for threedimensional space introducing additional fixed point and have presented proof of derived formulas.

The Algorithm for Determining the Coordinates of a Point in Three-Dimensional Space by Using the Auxiliary Point

University of Warmia and Mazury Department of Satellite Geodesy and Navigation

Air Force Academy Department of Aircraft Navigation

University of Warmia and Mazury Department of Safety Engineering

Artificial Satellites

During the process of satellite navigation, and also in the many tasks of classical positioning, we need to calculate the corrections to the initial (or...

The Algorithm for Determining the Coordinates of a Point in Three-Dimensional Space by Using the Auxiliary Point

Published Online: Dec 04, 2013

Page range: 141 - 145

DOI: https://doi.org/10.2478/arsa-2013-0012

This content is open access.