Introducing relativity in global navigation satellite systems
Abstract
Today, the Global Navigation Satellite Systems, used as global positioning systems, are the GPS and the GLONASS. They are based on a Newtonian model and hence they are only operative when several relativistic effects are taken into account. The most important relativistic effects (to order 1/c(2) ) are: the Einstein gravitational blue shift effect of the satellite clock frequency (Equivalence Principle of General Relativity) and the Doppler red shift of second order, due to the motion of the satellite (Special Relativity). On the other hand, in a few years the Galileo system will be built, copying the GPS system unless an alternative project is designed. In this work, it will be also shown that the SYPOR project, using fully relativistic concepts, is an alternative to a mere copy of the GPS system. According to this project, the Galileo system would be exact and there would be no need for relativistic corrections.
 Publication:

Annalen der Physik
 Pub Date:
 April 2007
 DOI:
 10.1002/andp.200610229
 arXiv:
 arXiv:grqc/0507121
 Bibcode:
 2007AnP...519..258P
 Keywords:

 GPS;
 GLONASS;
 relativistic effects;
 Galileo;
 SYPOR;
 null emission coordinates;
 General Relativity and Quantum Cosmology;
 Physics  Classical Physics
 EPrint:
 24 pages, RevTeX 4, based on a talk given in "International School: Relativistic Coordinates, Reference and Positioning Systems", Salamanca (Spain), January 2125, 2005