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Test of the Gravitational Redshift with Galileo Satellites in an Eccentric Orbit
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On August 22, 2014, the satellites GSAT-0201 and GSAT-0202 of the European GNSS Galileo were unintentionally launched into eccentric orbits. Unexpectedly, this has become a fortunate scientific opportunity since the onboard hydrogen masers allow for a sensitive test of the redshift predicted by the theory of general relativity. In the present Letter, we describe an analysis of approximately three years of data from these satellites including three different clocks. For one of these, we determine the test parameter quantifying a potential violation of the combined effects of the gravitational redshift and the relativistic Doppler shift. The uncertainty of our result is reduced by more than a factor 4 as compared to the values of Gravity Probe A obtained in 1976.
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“The parameter is constrained at the 10 À5 level (Delva et al. 2018;Herrmann et al. 2018).”
From Fundamental constants: from measurement to the universe, a window on gravitation and cosmology (2025) · cites this paper as Herrmann et al. 2018
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Cites
Gelman, A., Carlin, J. B., Stern, H. S., & Rubin, D. B. (2003) · doi:10.1201/9780429258480 · Cited by 27,276
The Confrontation between General Relativity and Experiment
Will, C. M. (2014) · Living Reviews in Relativity · doi:10.12942/lrr-2014-4 · Cited by 3,996
International Geomagnetic Reference Field: the 12th generation
Thébault, E., Finlay, C. C., Beggan, C., Alken, P., Aubert, J., Barrois, O., Bertrand, F., Bondar, T., Boness, A., Brocco, L., et al. (2015) · Earth Planets and Space · doi:10.1186/s40623-015-0228-9 · Cited by 1,513
Pound, R. V., & Rebka, G. A. (1960) · Physical Review Letters · doi:10.1103/physrevlett.4.337 · Cited by 804
Relativity in the Global Positioning System
Ashby, N. (2003) · Living Reviews in Relativity · doi:10.12942/lrr-2003-1 · Cited by 691
Test of Relativistic Gravitation with a Space-Borne Hydrogen Maser
Vessot, R. F. C., Levine, M. W., Mattison, E. M., Blomberg, E. L., Hoffman, T. E., Nystrom, G. U., Farrel, B. F., Decher, R., Eby, P. B., Baugher, C. R., et al. (1980) · Physical Review Letters · doi:10.1103/physrevlett.45.2081 · Cited by 649
MICROSCOPE Mission: First Results of a Space Test of the Equivalence Principle
Touboul, P., Métris, G., Rodrigues, M., André, Y., Baghi, Q., Bergé, J., Boulanger, D., Bremer, S., Carle, P., Chhun, R., et al. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.231101 · Cited by 380
Self-citationEffect of Gravity on Gamma Radiation
Pound, R. V., & Snider, J. L. (1965) · Physical Review · doi:10.1103/physrev.140.b788 · Cited by 302
A test of the equivalence principle using a space-borne clock
Vessot, R. F. C., & Levine, M. W. (1979) · General Relativity and Gravitation · doi:10.1007/bf00759854 · Cited by 234
First Results from the THEMIS Mission
Angelopoulos, V., Sibeck, D. G., Carlson, C. W., McFadden, J. P., Larson, D. E., Lin, R. P., Bonnell, J. W., Mozer, F. S., Ergun, R. E., Cully, C. M., et al. (2008) · Space Science Reviews · doi:10.1007/s11214-008-9378-4 · Cited by 220
Research works printed but not linked: 2
- P. Rochat, 2012, Proceedings of the European Navigation Conference, Gdansk, Poland, 2012
- B. Baltagi, 2007, Econometrics
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Uzan, J.-P. (2025) · Living Reviews in Relativity · doi:10.1007/s41114-025-00059-y · Cited by 36
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Roura, A., Schubert, C., Schlippert, D., & Rasel, E. M. (2021) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.104.084001 · Cited by 40
Stadnik, Y. V. (2020) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.102.115016 · Cited by 32
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Optical atomic clocks: defining the future of time and frequency metrology
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COMPASSO mission and its iodine clock: outline of the clock design
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Cuadrat-Grzybowski, M., Clesse, S., Defraigne, P., Camp, M. V., & Bertrand, B. (2024) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.110.063029 · Cited by 12
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Qin, C.-G., Liu, T., Dai, X.-Y., Guo, P., Huang, W., Liu, X., Tan, Y.-J., & Shao, C.-G. (2024) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ad4ae2 · Cited by 12
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Rodríguez, L. A. A., Schell, A. W., & Bruschi, D. E. (2023) · Journal of Physics Conference Series · doi:10.1088/1742-6596/2531/1/012016 · Cited by 10
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Iorio, L. (2019) · Universe · doi:10.3390/universe5070165 · Cited by 8
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Asenbaum, P., Overstreet, C., & Kasevich, M. A. (2024) · Physica Scripta · doi:10.1088/1402-4896/ad340c · Cited by 7
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Janson, G., Friedrich, A., & Lopp, R. (2024) · AVS Quantum Science · doi:10.1116/5.0178230 · Cited by 8
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Vegt, W. (2024) · Journal of Laser Applications · doi:10.2351/7.0001636 · Cited by 7
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Czarnecka, A. P., & Czarnecki, A. (2021) · American Journal of Physics · doi:10.1119/10.0003448 · Cited by 8
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Yang, J., Hu, X., Zhou, W., Zhou, S., Tang, C., Song, Y., Liu, L., Yang, Y., Tian, Q., Liu, J., et al. (2023) · Advances in Space Research · doi:10.1016/j.asr.2023.02.036 · Cited by 6
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Meltzer, I., & Sagi, Y. (2024) · Physical Review A · doi:10.1103/physreva.110.032602 · Cited by 7
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Lévy, H., & Uzan, J. (2025) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.111.064012 · Cited by 11
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Janse, M., Uitenbroek, D. G., van Everdingen, L., Plugge, J., Hensen, B., & Oosterkamp, T. H. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.033076 · Cited by 5
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García, A. R., Zornoza, J. M. J., Subirana, J. S., González‐Casado, G., Ventura‐Traveset, J., Cacciapuoti, L., & Schoenemann, E. (2021) · NAVIGATION Journal of the Institute of Navigation · doi:10.1002/navi.453 · Cited by 5
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Qin, C.-G., Liu, T., Dong, J.-Z., Dai, X.-Y., Tan, Y.-J., & Shao, C.-G. (2023) · Universe · doi:10.3390/universe9030133 · Cited by 4
Пилипенко, С. В., Литвинов, Д. А., Zakhvatkin, M. V., & Filetkin, A. I. (2024) · Astronomy Reports · doi:10.1134/s106377292470029x · Cited by 4
Scalar gravitational Aharonov–Bohm effect: Generalization of the gravitational redshift
Tobar, M. E., Hatzon, M. T., Flower, G., & Goryachev, M. (2024) · Applied Physics Letters · doi:10.1063/5.0226310 · Cited by 5
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Constraints on violation of Lorentz symmetry with clock-comparison redshift experiments
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Gravitational light deflection in Earth-based laser cavity experiments
Ulbricht, S., Dickmann, J., Müller, R. A., Kroker, S., & Surzhykov, A. (2020) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.101.121501 · Cited by 4
Proposal for an Optical Test of the Einstein Equivalence PrinciplePreprint
Terno, D. R., Vedovato, F., Schiavon, M., Smith, A. R. H., Magnani, P., Vallone, G., & Villoresi, P. (2018) · arXiv (Cornell University) · Cited by 4
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Metadata
- Authors
- Herrmann, S., Finke, F., Lülf, M., Kichakova, O., Puetzfeld, D., Knickmann, D., List, M., Rievers, B., Giorgi, G., Günther, C., Dittus, H., Prieto-Cerdeira, R., Dilssner, F., Gonzalez, F., Schönemann, E., Ventura-Traveset, J., & Lämmerzahl, C.
- Affiliations
- University of Bremen (DE)
- Technical University of Munich (DE)
- OHB (Germany) (DE)
- Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR) (DE)
- European Space Operations Centre (DE)
- European Space Research and Technology Centre (NL)
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2018-12-04
- Volume
- 121
- Issue
- 23
- Pages
- 231102-231102
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2902325430
- Cited by
- 175
- References
- 18
- Citations by year
- 2026: 10 · 2025: 15 · 2024: 35 · 2023: 27 · 2022: 25 · 2021: 19 · 2020: 24 · 2019: 18 · 2018: 2
- FWCI
- 8.45
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- elib (German Aerospace Center) (acceptedVersion)
- arXiv (Cornell University) (submittedVersion)
- mediaTUM – the media and publications repository of the Technical University Munich (Technical University Munich) (submittedVersion, other-oa)
- arXiv (Cornell University)
- Funders
- European Space Agency
- Bundesministerium für Wirtschaft und Technologie (50WM1547, 50WM1546)
- Deutsche Forschungsgemeinschaft (1128, PU 461/1-1)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Frequency and Time Standards
- Physical Sciences › Engineering › Aerospace Engineering › GNSS positioning and interference
- Keywords
- gravitational redshift, Galileo satellites, eccentric orbits, hydrogen maser, relativistic Doppler shift, tests of general relativity, clock comparison
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