Geodetic methods to determine the relativistic redshift at the level of 10-18 in the context of international timescales: a review and practical results

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dc.identifier.uri http://dx.doi.org/10.15488/2652
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/2678
dc.contributor.author Denker, Heiner
dc.contributor.author Timmen, Ludger
dc.contributor.author Voigt, Christian
dc.contributor.author Weyers, Stefan
dc.contributor.author Peik, Ekkehard
dc.contributor.author Margolis, Helen S.
dc.contributor.author Delva, Pacome
dc.contributor.author Wolf, Peter
dc.contributor.author Petit, Gérard
dc.date.accessioned 2018-01-19T12:03:39Z
dc.date.available 2018-01-19T12:03:39Z
dc.date.issued 2017
dc.identifier.citation Denker, H.; Timmen, L.; Voigt, C.; Weyers, S.; Peik, E. et al.: Geodetic methods to determine the relativistic redshift at the level of 10-18 in the context of international timescales: a review and practical results. In: Journal of Geodesy (2017), S. 1-30. DOI: https://doi.org/10.1007/s00190-017-1075-1
dc.description.abstract The frequency stability and uncertainty of the latest generation of optical atomic clocks is now approaching the one part in (Formula presented.) level. Comparisons between earthbound clocks at rest must account for the relativistic redshift of the clock frequencies, which is proportional to the corresponding gravity (gravitational plus centrifugal) potential difference. For contributions to international timescales, the relativistic redshift correction must be computed with respect to a conventional zero potential value in order to be consistent with the definition of Terrestrial Time. To benefit fully from the uncertainty of the optical clocks, the gravity potential must be determined with an accuracy of about (Formula presented.), equivalent to about 0.01 m in height. This contribution focuses on the static part of the gravity field, assuming that temporal variations are accounted for separately by appropriate reductions. Two geodetic approaches are investigated for the derivation of gravity potential values: geometric levelling and the Global Navigation Satellite Systems (GNSS)/geoid approach. Geometric levelling gives potential differences with millimetre uncertainty over shorter distances (several kilometres), but is susceptible to systematic errors at the decimetre level over large distances. The GNSS/geoid approach gives absolute gravity potential values, but with an uncertainty corresponding to about 2 cm in height. For large distances, the GNSS/geoid approach should therefore be better than geometric levelling. This is demonstrated by the results from practical investigations related to three clock sites in Germany and one in France. The estimated uncertainty for the relativistic redshift correction at each site is about (Formula presented.). eng
dc.language.iso eng
dc.publisher Heidelberg : Springer Verlag
dc.relation.ispartofseries Journal of Geodesy (2017)
dc.rights CC BY 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject Caesium and optical atomic clocks eng
dc.subject Chronometric levelling eng
dc.subject International timescales eng
dc.subject Relativistic geodesy eng
dc.subject Relativistic redshift eng
dc.subject Terrestrial Time eng
dc.subject Zero level reference gravity potential eng
dc.subject.ddc 550 | Geowissenschaften ger
dc.title Geodetic methods to determine the relativistic redshift at the level of 10-18 in the context of international timescales: a review and practical results
dc.type article
dc.type Text
dc.relation.issn 09497714
dc.relation.doi https://doi.org/10.1007/s00190-017-1075-1
dc.bibliographicCitation.firstPage 1
dc.bibliographicCitation.lastPage 30
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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