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Artificial Satellites

The Journal of Space Research Centre of Polish Academy of Sciences

4 Issues per year

CiteScore 2016: 0.33

SCImago Journal Rank (SJR) 2016: 0.179
Source Normalized Impact per Paper (SNIP) 2016: 0.560

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Volume 48, Issue 4


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

Bartlomiej Oszczak
  • Corresponding author
  • University of Warmia and Mazury Department of Satellite Geodesy and Navigation
  • Air Force Academy Department of Aircraft Navigation
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/ Eliza Sitnik
Published Online: 2013-12-04 | DOI: https://doi.org/10.2478/arsa-2013-0012


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.

Keywords : positioning; surveying; GPS; GNSS; navigation; auxiliary point; corrections

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About the article

Published Online: 2013-12-04

Published in Print: 2013-12-01

Citation Information: Artificial Satellites, Volume 48, Issue 4, Pages 141–145, ISSN (Online) 2083-6104, ISSN (Print) 0208-841X, DOI: https://doi.org/10.2478/arsa-2013-0012.

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