# Relativistic theory for time comparisons: a review

@article{Petit2005RelativisticTF, title={Relativistic theory for time comparisons: a review}, author={G{\'e}rard Petit and Peter Wolf}, journal={Metrologia}, year={2005}, volume={42}, pages={138-144} }

Soon after the advent of atomic clocks 50 years ago, their unprecedented uncertainties and their widespread use required that the definition of time scales and clock comparison procedures be considered rigorously within the theoretical framework of general relativity. We review the present procedures and show that the current relativistic modelling is adequate for the need of clocks and time transfer techniques. Accounting for the expected improvements in clock and time transfer technology, we…

## 43 Citations

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## References

SHOWING 1-10 OF 23 REFERENCES

The problem of clock synchronization: A relativistic approach

- Physics
- 1992

The problem of synchronization of the Earth-based clocks has been discussed in the framework of General Relativity Theory. The synchronization is considered as the transformation of the observers'…

Computation of the relativistic frequency shift of a frequency standard

- Physics
- 1996

Comparison of the frequencies of distant primary standards calls for the computation of their relativistic rate shift (gravitational+second-order Doppler shift) with an uncertainty lower than that…

Relativistic theory for time and frequency transfer to order c -3

- Physics
- 2001

This paper is motivated by the current development of several space missions (e.g. ACES on International Space Station) that will use Earth-orbit laser cooled atomic clocks, providing a time-keeping…

Relativistic theory for picosecond time transfer in the vicinity of Earth

- Physics
- 1994

Abstract : The problem of light propagation is treated in a geocentric reference system with the goat of ensuring picosecond accuracy for time transfer techniques using electromagnetic signals in the…

Relativistic theory for picosecond time transfer in the vicinity of the Earth

The problem of light propagation is treated in a geocentric reference system with the goal of ensuring picosecond accuracy for time transfer techniques using electromagnetic signals in the vicinity…

THE IAU 2000 RESOLUTIONS FOR ASTROMETRY CELESTIAL MECHANICS AND METROLOGY IN THE RELATIVISTIC FRAMEWORK: EXPLANATORY SUPPLEMENT

- Physics
- 2003

We discuss the IAU resolutions B1.3, B1.4, B1.5, and B1.9 that were adopted during the 24th General Assembly in Manchester, 2000, and provides details on and explanations for these resolutions. It is…

A New Realization of Terrestrial Time

- Computer Science, Geography
- 2003

The procedures to process PFS data have been recently updated and an updated computation of TT (BIPM) is proposed, using all recently available data from new Cs fountain PFS and a revised estimation of the stability of the free-running atomic time scale EAL on which TAI is based.

The relativistic redshift with 3×10−17 uncertainty at NIST, Boulder, Colorado, USA

- Geology
- 2003

We have estimated the relativistic redshift correction due to gravity, necessary to reference to the geoid the measurements of the new frequency standards at the National Institute of Standards and…