Location Problem in Relativistic Positioning: Relative Formulation

Autor: Ramón Serrano Montesinos, Joan Josep Ferrando, Juan Antonio Morales-Lladosa
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Universe, Vol 10, Iss 7, p 299 (2024)
Druh dokumentu: article
ISSN: 2218-1997
DOI: 10.3390/universe10070299
Popis: A relativistic positioning system is a set of four emitters broadcasting their proper times by means of light signals. The four emitter times received at an event constitute the emission coordinates of the event. The covariant quantities associated with relativistic positioning systems are analysed relative to an observer in Minkowski space-time by splitting them in their relative space-like and time-like components. The location of a user in inertial coordinates from a standard set of emission data (emitted times and satellite trajectories) is solved in the underlying 3+1 formalism. The analytical location solution obtained by Kleusberg for the GPS system is recovered and interpreted in a Minkowskian context.
Databáze: Directory of Open Access Journals
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