Basic elements for a relativistic theory of coordinate systems are introduced. The main purposes of such a theory are to precise the physical and geometrical status of coordinate systems in general relativity, to structure those presently known, to offer a convenient scheme to incorporate new ones, to reveal voids in our knowledge of their mutual relations, and to incitate their study. Relativistic operational criteria to construct coordinate systems are given, with particular attention to satellite positioning systems, to which the current GPS could be related.
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