DOAJ Open Access 2024

Location Problem in Relativistic Positioning: Relative Formulation

Ramón Serrano Montesinos Joan Josep Ferrando Juan Antonio Morales-Lladosa

Abstrak

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.

Penulis (3)

R

Ramón Serrano Montesinos

J

Joan Josep Ferrando

J

Juan Antonio Morales-Lladosa

Format Sitasi

Montesinos, R.S., Ferrando, J.J., Morales-Lladosa, J.A. (2024). Location Problem in Relativistic Positioning: Relative Formulation. https://doi.org/10.3390/universe10070299

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Informasi Jurnal
Tahun Terbit
2024
Sumber Database
DOAJ
DOI
10.3390/universe10070299
Akses
Open Access ✓