Monday , 14 October 2019
roen

Art. 03 – Vol. 22 – No. 1 – 2012

Refining the Tracking for Digital Telescopes using String Correlations and the Theory of Relativity

 

Gabriel Octavian CORBAN
gabycorban@yahoo.com
National Institute for Research and Development in Informatics

Corneliu Avram – MĂNESCU
avram050652@yahoo.com
G.S.T. Ploieşti

Abstract: Calculating precisely the coordinates of a given point on the Earth’s surface using the orbiting satellites network, can be done only by taking into account Einstein’s theory of relativity, thus the curved space in the vicinity of a body of considerable mass and time dilation at appropriate speeds.

This theory has great implications in accurately calculating the position of digital telescopes with computerised modules specialised in tracking objects throughout the Universe.

More exactly, tracking so precisely to the extend that the object seems to “freeze” in the eyeglass of the telescope, in spite of Earth rotation or relative motion to other bodies in the solar system.

The paper summarises the functions of the GPS module and the mathematical theory used by the system as an application in this domain.  The practical aspects and corrections that are to be implemented in order to obtain conclusive results are also analysed. Influences predicted by the theory of relativity, such as time dilation at great speeds and curving of space in the vicinity of a body of considerable mass are verified through experiments within the system. Other applications of the GPS are also described and the Annex contains some technical data.

The paper is aimed to those interested in practical applications of science and highlights the close bond of science, technology and everyday life.

View full article

Keywords: digital telescopes, digital tracking, GPS, Cartesian coordinates, geographical coordinates, finite body, irreducible polynomial, string correlations, theory of relativity, atomic clock.

REFERENCES

  1. Bolt, Brian: Mathematics meets Technology. Cambridge University Press, Cambridge New York Port Chester Melbourne Sydney, 1991.
  2. French, Gregory T.: Understanding the GPS. GeoResearch, Inc., 1996.
  3. Bossler, John D. (ed.): Manual of Geospatial Science and Technology. Taylor and Francis, Inc., London New York, 2002.
  4. Beidleman, Scott W.(Lt. Col. USAF): GPS versus Galileo, Balancing for Position in Space. Air University Press, Maxwell Air Force Base, Alabama 361126615, 2006.
  5. Kaplan, Elliott D., Hegarty, Christopher J. (eds.): Understanding GPS, Principles and Applications. Artech House, Inc., Boston London, 2006.
  6. Heydecker, Benjamin (ed.): Mathematics in Transport (Selected Proceedings of the 4th IMA International Conference on Mathematics in Transport ). Centre for Transport Studies, University College London, UK, Elsevier Ltd., 2007.
  7. Rousseau, Christiane, Saint-Aubin, Yvan: Mathematics and Technology. Springer, 2008.
  8. Lidl, Rudolf, Niederreiter, Harald: Finite Fields. Cambridge University Press, 1997.
  9. Rothenstein, B. F.: Teoria relativităţii speciale. Editura “FACLA”, 1976.
  10. Bărbulescu, Nicolae: Bazele fizice ale relativităţii einsteiniene. Editura ştiinţifică şi enciclopedică, Bucureşti, 1979.
  11. Haustein, Mario: Effects of the Theory of Relativity in the GPS. Chemnitz University of Technology, 2009, osg.informatik.tu.chemnitz.de/lehre/old/ws0809/sem/online/GPS.pdf

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.