Two-dimensional approach to relativistic positioning systems

Details Two-dimensional approach to relativistic positioning systems Two-dimensional approach to relativistic positioning systems

2006-02-03

arxiv.org/abs/gr-qc/0602015v2

Phys.Rev. D73 (2006) 084017

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 5 figures. v2: a brief description of the principal bibliography has been added

Scientific paper

10.1103/PhysRevD.73.084017

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.

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