Relativistic Positioning Systems
arXiv:gr-qc/0601110 · doi:10.1063/1.2218182
Abstract
The theory of relativistic {\em location systems} is sketched. An interesting class of these systems is that of relativistic {\em positioning systems,} which consists in sets of four clocks broadcasting their proper time. Among them, the more important ones are the {\em auto-located positioning systems,} in which every clock broadcasts not only its proper time but the proper times that it receives from the other three. At this level, no reference to any exterior system (the Earth surface, for example) and no synchronization are needed. Some properties are presented. In the SYPOR project, such a structure is proposed, eventually anchored to a classical reference system on the Earth surface, as the best relativistic structure for Global Navigation Satellite Systems.
8 pages; 1 figure; to appear in Proc. Spanish Relativity Meeting ERE-2005, Oviedo (Spain); v2: minor formal changes
References in corpus (2)
Cited by in corpus (11)
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- Geometric approach to the definition of emission coordinates
- Mapping Cartesian Coordinates into Emission Coordinates: some Toy Models
- Coordinates and frames from the causal point of view
- Relativistic Localizing Processes Bespeak an Inevitable Projective Geometry of Spacetime
- Relativistic Positioning Systems: current status
- Relativistic location algorithm in curved spacetime
- A relativistic navigation system for space