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Gravitational Redshift Test Using Eccentric Galileo Satellites
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We report on a new test of the gravitational redshift and thus of local position invariance, an integral part of the Einstein equivalence principle, which is the foundation of general relativity and all metric theories of gravitation. We use data spanning 1008 days from two satellites of Galileo, Europe's global satellite navigation system, which were launched in 2014, but accidentally delivered on elliptic rather than circular orbits. The resulting modulation of the gravitational redshift of the onboard atomic clocks allows the redshift determination with high accuracy. Additionally, specific laser ranging campaigns to the two satellites have enabled a good estimation of systematic effects related to orbit uncertainties. Together with a careful conservative modeling and control of other systematic effects we measure the fractional deviation of the gravitational redshift from the prediction by general relativity to be (0.19±2.48)×10^{-5} at 1 sigma, improving the best previous test by a factor 5.6. To our knowledge, this represents the first reported improvement on one of the longest standing results in experimental gravitation, the Gravity Probe A hydrogen maser rocket experiment back 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 Delva et al. 2018
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Cites
Scargle, J. D. (1982) · The Astrophysical Journal · doi:10.1086/160554 · Cited by 7,454
Numerical Recipes: The Art of Scientific Computing
Ziegel, E. R., Press, W. H., Flannery, B. P., Teukolsky, S. A., & Vetterling, W. T. (1987) · Technometrics · doi:10.2307/1269484 · Cited by 6,704
Least-squares frequency analysis of unequally spaced data
Lomb, N. (1976) · Astrophysics and Space Science · doi:10.1007/bf00648343 · Cited by 5,724
Modified gravity and cosmology
Clifton, T., Ferreira, P. G., Padilla, A., & Skordis, C. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.01.001 · Cited by 4,630
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
Numerical Recipes 3rd Edition: The Art of Scientific Computing
Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (2007) · Cambridge University Press eBooks · Cited by 3,328
EGU General Assembly Conference Abstracts
Bell, A., Main, I. G., Atkinson, M., Vicente, R. F., Meredith, P. G., & Boon, S. A. (2013) · Cited by 2,408
Search for new physics with atoms and molecules
Safronova, M. S., Budker, D., DeMille, D. P., Kimball, D. F. J., Derevianko, A., & Clark, C. W. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.025008 · Cited by 1,642
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
Altamimi, Z., Rebischung, P., Métivier, L., & Collilieux, X. (2016) · Journal of Geophysical Research: Solid Earth · doi:10.1002/2016jb013098 · Cited by 1,427
Modern Tests of Lorentz Invariance
Mattingly, D. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-5 · Cited by 1,061
Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
Famaey, B., & McGaugh, S. S. (2012) · Living Reviews in Relativity · doi:10.12942/lrr-2012-10 · Cited by 1,046
Varying Constants, Gravitation and Cosmology
Uzan, J. (2011) · Living Reviews in Relativity · doi:10.12942/lrr-2011-2 · Cited by 880
Geophysical Research Abstracts
Lloyd, C. E. M., Freer, J. E., Johnes, P. J., & Collins, A. (2013) · Cited by 824
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
Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic ExtensionsPreprint
Famaey, B., & McGaugh, S. (2012) · Cited by 541
Varying Constants, Gravitation and Cosmology
Uzan, J. (2011) · DOAJ (DOAJ: Directory of Open Access Journals) · Cited by 392
Gravitational Red-Shift in Nuclear Resonance
Pound, R. V., & Rebka, G. A. (1959) · Physical Review Letters · doi:10.1103/physrevlett.3.439 · Cited by 389
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
Effect of Gravity on Gamma Radiation
Pound, R. V., & Snider, J. L. (1965) · Physical Review · doi:10.1103/physrev.140.b788 · Cited by 302
The IGS contribution to ITRF2014
Rebischung, P., Altamimi, Z., Ray, J., & Garayt, B. (2016) · Journal of Geodesy · doi:10.1007/s00190-016-0897-6 · Cited by 241
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
Test of Special Relativity Using a Fiber Network of Optical Clocks
Delva, P., Lodewyck, J., Bilicki, S., Bookjans, E., Vallet, G., Le Targat, R., Pottie, P.-E., Guerlin, C., Meynadier, F., Le Poncin-Lafitte, C., et al. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.221102 · Cited by 227
Self-citationA New Solar Radiation Pressure Model for GPS Satellites
Springer, T. A., Beutler, G., & Rothacher, M. (1999) · GPS Solutions · doi:10.1007/pl00012757 · Cited by 215
Quantum tests of the Einstein Equivalence Principle with the STE–QUEST space mission
Altschul, B., Bailey, Q. G., Blanchet, L., Bongs, K., Bouyer, P., Cacciapuoti, L., Capozziello, S., Gaaloul, N., Giulini, D., Hartwig, J., et al. (2015) · Advances in Space Research · doi:10.1016/j.asr.2014.07.014 · Cited by 204
Self-citationSpace clocks and fundamental tests: The ACES experiment
Cacciapuoti, L., & Salomon, C. (2009) · The European Physical Journal Special Topics · doi:10.1140/epjst/e2009-01041-7 · Cited by 187
Enhanced solar radiation pressure modeling for Galileo satellites
Montenbruck, O., Steigenberger, P., & Hugentobler, U. (2014) · Journal of Geodesy · doi:10.1007/s00190-014-0774-0 · Cited by 169
Improved Tests of Local Position Invariance Using Rb87 and Cs133 Fountains
Guéna, J., Abgrall, M., Rovera, D., Rosenbusch, P., Tobar, M. E., Laurent, P., Clairon, A., & Bize, S. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.080801 · Cited by 141
Evaluation of candidate geomagnetic field models for IGRF-12
Thébault, E., Finlay, C. C., Alken, P., Beggan, C., Canet, E., Chulliat, A., Langlais, B., Lesur, V., Lowes, F. J., Manoj, C., et al. (2015) · Earth Planets and Space · doi:10.1186/s40623-015-0273-4 · Cited by 99
Improved relativistic transformations in GPS
Kouba, J. (2004) · GPS Solutions · doi:10.1007/s10291-004-0102-x · Cited by 75
Delva, P., Hees, A., Bertone, S., Richard, É., & Wolf, P. (2015) · Classical and Quantum Gravity · doi:10.1088/0264-9381/32/23/232003 · Cited by 70
Self-citationDelva, P., Hees, A., Bertone, S., Richard, É., & Wolf, P. (2015) · Open Access CRIS of the University of Bern · doi:10.48350/158402 · Cited by 67
Self-citationAtomic clock ensemble in space (ACES) data analysis
Meynadier, F., Delva, P., Poncin-Lafitte, C. L., Guerlin, C., & Wolf, P. (2017) · Classical and Quantum Gravity · doi:10.1088/1361-6382/aaa279 · Cited by 59
Self-citationProbing the gravitational redshift with an Earth-orbiting satellite
Литвинов, Д. А., Rudenko, V. N., Алакоз, А. В., Bach, U., Bartel, N., Belonenko, A. V., Belousov, K. G., Bietenholz, M. F., Бирюков, А. В., Carman, R., et al. (2017) · Physics Letters A · doi:10.1016/j.physleta.2017.09.014 · Cited by 48
Self-citation(1995) · Cited by 47
Self-citationClocks and spaceborne tests of relativistic gravitation
Vessot, R. F. C. (1989) · Advances in Space Research · doi:10.1016/0273-1177(89)90004-5 · Cited by 30
Goce precise non-gravitational force modeling for POD applications
Gini, F. (2014) · Padua@research (University of Padova) · Cited by 3
Flagged first, then by citations
Research works printed but not linked: 4
- P. Delva, 2015, Proceedings of the ILRS Technical Workshop, Matera, Italy, 2015
- 2010, IERS Conventions (2010)
- F. Gini, 2014, CISAS-University of Padova
- P. Wolf, 1995, Astron. Astrophys., 304, 653
Cited by
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Takamoto, M., Ushijima, I., Ohmae, N., Yahagi, T., Kokado, K., Shinkai, H., & Katori, H. (2020) · Nature Photonics · doi:10.1038/s41566-020-0619-8 · Cited by 507
Relativistic redshift of the star S0-2 orbiting the Galactic Center supermassive black hole
Do, T., Hees, A., Ghez, A. M., Martinez, G. D., Chu, D. S., Jia, S., Sakai, S., Lu, J. R., Gautam, A. K., O’Neil, K. K., et al. (2019) · Science · doi:10.1126/science.aav8137 · Cited by 486
Self-citationResolving the gravitational redshift across a millimetre-scale atomic sample
Bothwell, T., Kennedy, C. J., Aeppli, A., Kedar, D., Robinson, J. M., Oelker, E., Staron, A., & Ye, J. (2022) · Nature · doi:10.1038/s41586-021-04349-7 · Cited by 449
Advances in space quantum communications
Sidhu, J. S., Joshi, S. K., Gündoğan, M., Brougham, T., Lowndes, D., Mazzarella, L., Krutzik, M., Mohapatra, S., Dequal, D., Vallone, G., et al. (2021) · IET Quantum Communication · doi:10.1049/qtc2.12015 · Cited by 298
M I C R O S C O P E Mission: Final Results of the Test of the Equivalence Principle
Touboul, P., Métris, G., Rodrigues, M., Bergé, J., Robert, A., Baghi, Q., André, Y., Bedouet, J., Boulanger, D., Bremer, S., et al. (2022) · Physical Review Letters · doi:10.1103/physrevlett.129.121102 · Cited by 205
Metadata
- Authors
- Delva, P., Puchades, N., Schönemann, E., Dilssner, F., Courde, C., Bertone, S., Gonzalez, F., Hees, A., Le Poncin-Lafitte, C., Meynadier, F., Prieto-Cerdeira, R., Sohet, B., Ventura-Traveset, J., & Wolf, P.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- European Space Operations Centre (DE)
- Observatoire de la Côte d’Azur (FR)
- University of Bern (CH)
- European Space Research and Technology Centre (NL)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2018-12-04
- Volume
- 121
- Issue
- 23
- Pages
- 231101-231101
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2903259321
- Cited by
- 210
- References
- 37
- Citations by year
- 2026: 16 · 2025: 21 · 2024: 39 · 2023: 32 · 2022: 32 · 2021: 19 · 2020: 28 · 2019: 22 · 2018: 1
- FWCI
- 9.42
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion, other-oa)
- arXiv (Cornell University)
- Funders
- European Space Agency
- Generalitat Valenciana (APOSTD2017)
- Observatoire de Paris
- 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, local position invariance, Einstein equivalence principle, Galileo satellites, eccentric orbits, onboard atomic clocks, laser ranging, orbit uncertainty, tests of general relativity
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