Two-dimensional approach to relativistic positioning systems

Journal Article · Sat Apr 15 00:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.73.084017· OSTI ID:20782916

Coll, Bartolome; Ferrando, Joan Josep; Morales, Juan Antonio ^[1]

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1. Systemes de reference relativistes, SYRTE-CNRS, Observatoire de Paris, 75014 Paris (France)

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.

• OSTI ID: 20782916
• Journal Information: Physical Review. D, Particles Fields, Vol. 73, Issue 8; Other Information: DOI: 10.1103/PhysRevD.73.084017; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGY
DIFFERENTIAL GEOMETRY
GENERAL RELATIVITY THEORY
GEODESICS
GRAVIMETRY
RELATIVISTIC RANGE
SPACE-TIME
TWO-DIMENSIONAL CALCULATIONS