@article{Bini2004LimitationsOR,
author={Donato Bini and Luca Lusanna and Bahram Mashhoon},
journal={International Journal of Modern Physics D},
year={2004},
volume={14},
pages={1413-1429}
}
• Published 13 September 2004
• Physics
• International Journal of Modern Physics D
The construction of a radar coordinate system about the world line of an observer is discussed. Radar coordinates for a hyperbolic observer as well as a uniformly rotating observer are described in detail. The utility of the notion of radar distance and the admissibility of radar coordinates are investigated. Our results provide a critical assessment of the physical significance of radar coordinates.
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#### References

SHOWING 1-10 OF 23 REFERENCES
The Sagnac Effect in the Global Positioning System
In the Global Positioning System (GPS) the reference frame used for navigation is an earth-centered, earth-fixed rotating frame, the WGS-84 frame. The time reference is defined in an underlyingExpand
The classical theory of fields
• Physics
• 1952
The principle of relativity Relativistic mechanics Electromagnetic fields Electromagnetic waves The propagation of light The field of moving charges Radiation of electromagnetic waves Particle in aExpand
Real null coframes in general relativity and GPS type coordinates
• Physics
• 2002
Some time ago, Finkelstein defined a "symmetric" null frame with four real null vectors. We discuss this Finkelstein frame and show that a similarly defined real null coframe is closely related toExpand
MÄRZKE-WHEELER COORDINATES FOR ACCELERATED OBSERVERS IN SPECIAL RELATIVITY
• Physics
• 2000
In special relativity, the definition of coordinate systems adapted to generic accelerated observers is a long-standing problem, which has found unequivocal solutions only for the simplest motions.Expand
Coupling of Linearized Gravity to Nonrelativistic Test Particles: Dynamics in the General Laboratory Frame
• Physics
• 2004
The coupling of gravity to matter is explored in the linearized gravity limit. The usual derivation of gravity-matter couplings within the quantum-field-theoretic framework is reviewed. A number ofExpand
Cosmology and gravitation
This is a brief summary with comments on selected contributions to the Cosmology and Gravitation section at the 24th Brazilian Meeting on Particle and Fields (ENFPC XXIV), held at Caxambu, fromExpand
Relativity: Special, General, and Cosmological
INTRODUCTION 1. From absolute space and time to influenceable spacetime: an overview PART I: SPECIAL RELATIVITY 2. Foundations of special relativity the Lorentz transformation 3. RelativisticExpand
The Meaning of Relativity
In 1921, five years after the appearance of his comprehensive paper on general relativity and twelve years before he left Europe permanently to join the Institute for Advanced Study, Albert EinsteinExpand
Relativity in rotating frames
A common error, originally due to Ehrenfest, is corrected. Typeset using REVTEX 1 A recent book [1] with the same title as above contains 17 articles by various authors, following the EnglishExpand
Phys. Rev. D
• Phys. Rev. D
• 2004