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Positioning in a flat two-dimensional space-time

Published online by Cambridge University Press:  30 September 2008

A. Oscoz ,
E. Mediavilla ,
M. Serra-Ricart  and
J.J. Ferrando
J.J. Ferrando*
Affiliation:
Departament d'Astronomia i Astrofísica, Universitat de València, 46100 Burjassot, València, Spain
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Abstract

The basic theory on relativistic positioning systems in a two-dimensional space-time and the analysis of the possibility of making relativistic gravimetry with these systems have been presented elsewhere [Phys. Rev. D 73, 084017 (2006); Phys. Rev. D 74, 104003 (2006)]. Here we summarize these results and we outline new issues on the relativistic positioning systems in Minkowski plane. We point out that the accelerations of the emitters and of the user along their trajectories are determined by the sole knowledge of the emitter positioning data and of the acceleration of only one of the emitters and only during a light echo interval.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 30: Spanish Relativity Meeting - Encuentros Relativistas Españoles , ERE2007: Relativistic Astrophysics and Cosmology , 2008 , pp. 323 - 327
Copyright
© EAS, EDP Sciences, 2008

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References

Coll, B., 2001, in Proceedings of the XXIII Spanish Relativity Meeting ERE-2000 on Reference Frames and Gravitomagnetism (World Scientific, Singapore,), 53
Coll, B., & Pozo, J.M., 2006, Class. Quantum Grav., 23, 7395 CrossRef
Coll, B., Ferrando, J.J., & Morales, J.A., 2007 [arXiv:0707.0248]
Coll, B. 2006, in Proceedings of the XXVIII Spanish Relativity Meeting ERE-2005 on A Century of Relativity Physics, AIP Conf. Proc. (New York, AIP), 277
Coll, B., Ferrando, J.J., & Morales, J.A., 2006, Phys. Rev. D, 73, 084017 CrossRef
Coll, B., Ferrando, J.J., & Morales, J.A., 2006, Phys. Rev. D, 74, 104003 CrossRef
Coll, B., Ferrando, J.J., & Morales, J.A., 2008, in preparation
Ferrando, J.J., 2006, in Proceedings of the XXVIII Spanish Relativity Meeting ERE-2005 on A Century of Relativity Physics, AIP Conf. Proc. (New York, AIP), 424