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

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

Open Access
|Dec 2013

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.

DOI: https://doi.org/10.2478/arsa-2013-0012 | Journal eISSN: 2083-6104 | Journal ISSN: 1509-3859
Language: English
Page range: 141 - 145
Published on: Dec 4, 2013
Published by: Polish Academy of Sciences, Space Research Centre
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2013 Bartlomiej Oszczak, Eliza Sitnik, published by Polish Academy of Sciences, Space Research Centre
This work is licensed under the Creative Commons License.