Introducing relativity in global navigation satellite systems
Author:
- J.‐F. Pascual‐SánchezJPJ.‐F. Pascual‐Sánchez
- 14 March 2007
- journal article
- Published by Wiley in Annalen der Physik
- Vol. 519 (4) , 258-273
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/c2) 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.Keywords
This publication has 21 references indexed in Scilit:
- Two-dimensional approach to relativistic positioning systemsPhysical Review D, 2006
- Relativity and technologyAnnalen der Physik, 2005
- A globally well-behaved simultaneity connection for stationary frames in the weak field limitClassical and Quantum Gravity, 2004
- Relativity of GPS measurementPhysical Review D, 2003
- Real null coframes in general relativity and GPS type coordinatesPhysical Review D, 2002
- GPS observables in general relativityPhysical Review D, 2002
- Navigation in curved space–timeAmerican Journal of Physics, 2001
- Around-the-World Relativistic Sagnac ExperimentScience, 1985
- On a completely symmetric choice of space–time coordinatesJournal of Mathematical Physics, 1981
- Application of an Artificial Satellite to the Measurement of the General Relativistic "Red Shift"Physical Review B, 1956