Jump to ContentJump to Main Navigation
Show Summary Details
More options …

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

Open Access
Online
ISSN
2083-6104
See all formats and pricing
More options …
Volume 48, Issue 4 (Dec 2013)

Issues

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
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Eliza Sitnik
Published Online: 2013-12-04 | DOI: https://doi.org/10.2478/arsa-2013-0012

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.

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

  • Banachiewicz T. Rachunek krakowianowy, PWN, Warszawa. 1959.Google Scholar

  • Ciecko A., Oszczak B., Oszczak S.. Drive-by DTM: GPS and GSM Power Cost-Effective Terrain Modeling. Vol. 17., GPS World, 2006.Google Scholar

  • Felski A., Urbański J. Satelitarne systemy nawigacji i bezpieczeństwa żeglugi, AMW, Gdynia 1997.Google Scholar

  • Gleason, Scott and Demoz Gebre-Egziabher. GNSS Applications and Methods. Boston. Artitech House, 2009.Google Scholar

  • Groves P.D. Principles of GNSS, inertial, and multi-sensor integrated navigation systems. Second Edition, Artech House, 2013.Google Scholar

  • Hausbrandt S. Rachunek wyrównawczy i obliczenia geodezyjne, Tom I. Państwowe Przedsiębiorstwo Wydawnictw Kartograficznych, Warszawa, 1970.Google Scholar

  • Hofmann-'Wellenhof B., Lichtenegger H., Wasle E. GNSS Global Navigation Satellite Systems, GPS, Glonass, Galileo&more, SpringerWienNewYork, 2008.Google Scholar

  • Hoffmann-Wellenhof B., Lichtenegger H., Collins J. Global Positioning System. Theory and Practise. SpringerWienNewYork, 2001.Google Scholar

  • B. P. Lukas. Robust Indoor Positioning through Adaptive Collaborative Labeling of Location Fingerprints. ETH, Zurich, 2011.Google Scholar

  • NMEA 0183. National Marine Electronics Association. Standard for Interfacing Marine Electronics Devices, 2002.Google Scholar

  • Oszczak B. New algorithm for GNSS positioning Using System of Linear Equations, ION GNSS+ 2013 CD-ROM Proceedings, November, 2013.Google Scholar

  • Oszczak B.. Methods of Point Indicators, manuscript, unpublished, Olsztyn, 2011.Google Scholar

  • Rueger J.M. Electronic Distance Measurement, Springer-Verlag, Berlin, 1996.Google Scholar

  • Specht C. System GPS, Wydawnictwo Bernardinum, Pelplin, 2007.Google Scholar

  • Susi M., Borio D., Lachapelle G. Accelerometer signal features and classification algorithms for positioning applications. Proceedings of the 2011 Int. Technical Meeting of the Institute of Navigation. Web, 2011.Google Scholar

  • J.B. Tsui. Basic equations for finding user position. Fundamentals of Global positioning system receivers. A software approach. Ed. John Wiley & Sons, 2000, pp. 10-11. Google Scholar

About the article

Published Online: 2013-12-04

Published in Print: 2013-12-01


Citation Information: Artificial Satellites, ISSN (Online) 2083-6104, ISSN (Print) 0208-841X, DOI: https://doi.org/10.2478/arsa-2013-0012.

Export Citation

This content is open access.

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
Jorge Caravantes, Laureano Gonzalez-Vega, and Alejandro Piñera
GPS Solutions, 2017, Volume 21, Number 1, Page 149

Comments (0)

Please log in or register to comment.
Log in