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- W2087654319 abstract "The basic theory on relativistic positioning systems in a two-dimensional space-time has been presented in two previous papers [B. Coll, J. J. Ferrando, and J. A. Morales, Phys. Rev. D 73, 084017 (2006); B. CollJ. J. FerrandoJ. A. MoralesPhys. Rev. D74, 104003 (2006)], where the possibility of making relativistic gravimetry with these systems has been analyzed by considering specific examples. Here, generic relativistic positioning systems in the Minkowski plane are studied. The information that can be obtained from the data received by a user of the positioning system is analyzed in detail. In particular, it is shown that the accelerations of the emitters and of the user along their trajectories are determined by the sole knowledge of the emitter positioning data and of the acceleration of only one of the emitters. Moreover, as a consequence of the so-called master delay equation, the knowledge of this acceleration is only required during an echo interval, i.e., the interval between the emission time of a signal by an emitter and its reception time after being reflected by the other emitter. These results are illustrated with the obtention of the dynamics of the emitters and of the user from specific sets of data received by the user." @default.
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- W2087654319 date "2010-10-21" @default.
- W2087654319 modified "2023-09-26" @default.
- W2087654319 title "Positioning in a flat two-dimensional space-time: The delay master equation" @default.
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- W2087654319 doi "https://doi.org/10.1103/physrevd.82.084038" @default.
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