Two-dimensional approach to relativistic positioning systems
arXiv:gr-qc/0602015 · doi:10.1103/PhysRevD.73.084017
Abstract
A relativistic positioning system is a physical realization of a coordinate system consisting in four clocks in arbitrary motion broadcasting their proper times. The basic elements of the relativistic positioning systems are presented in the two-dimensional case. This simplified approach allows to explain and to analyze the properties and interest of these new systems. The positioning system defined by geodesic emitters in flat metric is developed in detail. The information that the data generated by a relativistic positioning system give on the space-time metric interval is analyzed, and the interest of these results in gravimetry is pointed out.
11 pages, 5 figures. v2: a brief description of the principal bibliography has been added
Cited by in corpus (20)
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- Positioning systems in Minkowski space-time: Bifurcation problem and observational data
- Relativistic positioning: four-dimensional numerical approach in Minkowski space-time
- Positioning in a flat two-dimensional space-time: the delay master equation
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- Mapping Cartesian Coordinates into Emission Coordinates: some Toy Models
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- Relativistic positioning: including the influence of the gravitational action of the Sun and the Moon and the Earth's oblateness on Galileo satellites
- The Relativistic framework of Positioning systems
- Mapping the spacetime metric with GNSS: a preliminary study
- Conformal proper times according to the Woodhouse causal axiomatics of relativistic spacetimes
- A relativistic navigation system for space
- Equivalent Generic Forms for Metric Fields Yielded by Relativistic Positioning Systems
- Relativistic location algorithm in curved spacetime