Zugriffsnummer 39769
Dokumenttyp Zeitschriftenartikel Open Access Hybrid
Peer Review mit Peer Review
Sprache Englisch
Titel Geodetic methods to determine the relativistic redshift at the level of 10-18 in the context of international timescales: a review and practical results [mit Begutachtung]
Autor(in); Institution
Denker, Heiner; Leibniz Universität Hannover (LUH), Institut für Erdmessung, Hannover, GERMANY
Timmen, Ludger; Leibniz Universität Hannover (LUH), Institut für Erdmessung, Hannover, GERMANY
Voigt, Christian; Leibniz Universität Hannover (LUH), Institut für Erdmessung, Hannover, GERMANY; GFZ German Research Centre for Geosciences, Potsdam, GERMANY
Weyers, Stefan; 4.4, Zeit und Frequenz, PTB-Braunschweig
Peik, Ekkehard; 4.4, Zeit und Frequenz, PTB-Braunschweig
Margolis, Helen S.; National Physical Laboratory (NPL), Teddington, Middlesex, UK
Delva, Pacôme; SYRTE, Observatoire de Paris, PSL Research University, CNRS, Sorbonne Universités, UPMC Univ. Paris 06, LNE, Paris, FRANCE
Wolf, Peter; SYRTE, Observatoire de Paris, PSL Research University, CNRS, Sorbonne Universités, UPMC Univ. Paris 06, LNE, Paris, FRANCE
Petit, Gérard; Bureau International des Poids et Mesures (BIPM), Sèvres, FRANCE
Quelle/Jahr Journal of Geodesy: 92 (2018), 5, 487 - 516
ISSN 0949-7714 (PRINT) ; 1432-1394 (ONLINE)
DOI
Verlag Springer
Freie Schlagworte Relativistic redshift ; International timescales ; Terrestrial Time ; Caesium and optical atomic clocks ; Relativistic geodesy ; Chronometric levelling ; Zero level reference gravity potential
Zusammenfassung The frequency stability and uncertainty of the latest generation of optical atomic clocks is now approaching the one part in 1018 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 0.1m 2 s-2, 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 2×10-18.
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Rechteinformation CC BY 4.0 ; Creative Commons Attribution 4.0 License

Zitierung

Denker, H., Timmen, L., Voigt, C., Weyers, S., Peik, E., Margolis, H. S., Delva, P., Wolf, P., & Petit, G. (2018). Geodetic methods to determine the relativistic redshift at the level of 10⁻¹⁸ in the context of international timescales: a review and practical results [mit Begutachtung]. Journal of Geodesy, 92(5), 487–516. https://doi.org/10.1007/s00190-017-1075-1

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