Emission vs Fermi coordinates: applications to relativistic positioning systems

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dc.creatorBini, Donato
dc.creatorGeralico, Andrea
dc.creatorRuggiero, Matteo Luca
dc.creatorTartaglia, Angelo
dc.date2008-09-05
dc.date.accessioned2026-07-07T11:45:45Z
dc.date.available2026-07-07T11:45:45Z
dc.descriptionA 4-dimensional relativistic positioning system for a general spacetime is constructed by using the so called "emission coordinates". The results apply in a small region around the world line of an accelerated observer carrying a Fermi triad, as described by the Fermi metric. In the case of a Schwarzschild spacetime modeling the gravitational field around the Earth and an observer at rest at a fixed spacetime point, these coordinates realize a relativistic positioning system alternative to the current GPS system. The latter is indeed essentially conceived as Newtonian, so that it necessarily needs taking into account at least the most important relativistic effects through Post-Newtonian corrections to work properly. Previous results concerning emission coordinates in flat spacetime are thus extended to this more general situation. Furthermore, the mapping between spacetime coordinates and emission coordinates is completely determined by means of the world function, which in the case of a Fermi metric can be explicitly obtained.
dc.description12 pages iop style, 2 eps figures, to appear on Classical and Quantum Gravity, 2008
dc.identifierhttps://arxiv.org/abs/0809.0998
dc.identifierhttp://arxiv.org/abs/0809.0998
dc.identifierClass.Quant.Grav.25:205011,2008
dc.identifierdoi:10.1088/0264-9381/25/20/205011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201986
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleEmission vs Fermi coordinates: applications to relativistic positioning systems
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