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Relativistic Positioning Systems

The theory of relativistic location systems is sketched. An interesting class of these systems are the relativistic positioning systems, which consists in sets of four clocks broadcasting their proper time. Among them, the more important ones are the auto‐located positioning systems, in which every clock broadcasts non 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) or no synchronization are needed. Some properties are presented. In the SYPORT 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.