The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Relativistic theory of gravimetric measurements and definition of the geoid
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Further refinements of relativistic geoid definitions show additional terms at the few mm level, but transformation between different relativistic definitions and the classical version exists.
“Further refinements of a relativistic geoid definition are discussed, for example, in Soffel et al. (1988), Kopeikin (1991), or Müller et al. (2008), where additional terms at the few mm level show up, but the option for a transformation between the different relativistic definitions and the classical version also exists.”
From Geodetic methods to determine the relativistic redshift at the level of 10 $$^{-18}$$ - 18 in the context of international timescales: a review and practical results (2018) · cites this paper as Soffel et al. (1988)
The two surfaces obtained with clocks and gravimetric measurements (u-geoid and a-geoid) coincide in the case of a stationary metric.
“They have shown that these two surfaces coincide in the case of a stationary metric.”
From Chronometric Geodesy: Methods and Applications (2019) · cites this paper as [67]
Citations
Cites
Theory and Experiment in Gravitational Physics
Will, C. M. (2018) · doi:10.1017/9781316338612 · Cited by 3,637
Equivalence Principle for Massive Bodies. I. Phenomenology
Nordtvedt, K. L., Jr. (1968) · Physical Review · doi:10.1103/physrev.169.1014 · Cited by 245
Bjerhammar, A. (1985) · Bulletin Géodésique · doi:10.1007/bf02520327 · Cited by 165
Fujii, Y. (2013) · Gravitation and Cosmology · doi:10.1134/12267.1995-0721 · Cited by 127
Relativistic Gravity in the Solar System. II. Anisotropy in the Newtonian Gravitational Constant
Will, C. M. (1971) · The Astrophysical Journal · doi:10.1086/151125 · Cited by 84
Solar system Eotvos experiments
Nordtvedt, K. L., Jr. (1970) · Icarus · doi:10.1016/0019-1035(70)90035-7 · Cited by 26
Flagged first, then by citations
Research works printed but not linked: 2
- Knowles, S., Wallman, W., Hulburt, E., Cannon, W., Davidson, D., Patraschenko, W., Yen, J., Popelar, J., Galt, J.: NOAA Techn. Report No.95, NGS 24, 1982
- Nordtvedt, K. Jr.: Phys. Rev. D3, pp 1683, 1971
Cited by
Sorted by citations
Denker, H., Timmen, L., Voigt, C., Weyers, S., Peik, E., Margolis, H. S., Delva, P., Wolf, P., & Petit, G. (2018) · Journal of Geodesy · doi:10.1007/s00190-017-1075-1 · Cited by 91
“Further refinements of a relativistic geoid definition are discussed, for example, in Soffel et al. (1988), Kopeikin (1991), or Müller et al. (2008), where additional terms at the few mm level show up, but the option for a transformation between the different relativistic definitions and the…”
Müller, J., Soffel, M., & Klioner, S. A. (2008) · Journal of Geodesy · doi:10.1007/s00190-007-0168-7 · Cited by 82
Self-citationOrbit determination for next generation space clocks
Duchayne, L., Mercier, F., & Wolf, P. (2009) · Astronomy and Astrophysics · doi:10.1051/0004-6361/200809613 · Cited by 51
Relativistic manifestations of gravitational fields in gravimetry and geodesy
Kopejkin, S. M. (1991) · manuscripta geodaetica · doi:10.1007/bf03655420 · Cited by 40
International atomic time: Status and future challenges
Petit, G., Arias, E. F., & Panfilo, G. (2015) · Comptes Rendus Physique · doi:10.1016/j.crhy.2015.03.002 · Cited by 36
Relativistic time scales in the solar system
Brumberg, V. A., & Kopeikin, S. M. (1990) · Celestial Mechanics and Dynamical Astronomy · doi:10.1007/bf00050674 · Cited by 36
Chronometric Geodesy: Methods and Applications
Delva, P., Denker, H., & Lion, G. (2019) · Fundamental Theories of Physics · doi:10.1007/978-3-030-11500-5_2 · Cited by 28
“This is an operational definition, which has been translated in the context of post-Newtonian theory [67, 47].”
MethodDetermination of the geopotential and orthometric height based on frequency shift equation
Shen, W., Ning, J., Liu, J., Li, J., & Chao, D. (2011) · Natural Science · doi:10.4236/ns.2011.35052 · Cited by 26
Shen, Z., Shen, W., Zhao, P., Liu, T., Zhang, S., & Chao, D. (2018) · Journal of Earth Science · doi:10.1007/s12583-018-0834-0 · Cited by 23
Towards an exact relativistic theory of Earth's geoid undulation
Kopeikin, S. M., Михайловна, М. Е., & Karpik, A. P. (2015) · Physics Letters A · doi:10.1016/j.physleta.2015.02.046 · Cited by 22
Definition of the relativistic geoid in terms of isochronometric surfaces
Philipp, D., Perlick, V., Puetzfeld, D., Hackmann, E., & Lämmerzahl, C. (2017) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.95.104037 · Cited by 16
Delva, P., & Geršl, J. (2017) · Universe · doi:10.3390/universe3010024 · Cited by 9
Relativistic reference frames including time scales: Questions and answers
Soffel, M. H., & Brumberg, V. A. (1991) · Celestial Mechanics and Dynamical Astronomy · doi:10.1007/bf00048451 · Cited by 9
Self-citationOrthometric height determination based upon optical clocks and fiber frequency transfer technique
Shen, W.-B. (2013) · Saudi International Electronics, Communications and Photonics Conference · doi:10.1109/siecpc.2013.6550987 · Cited by 8
Importance of a Common Framework for the Realization of Space-Time Reference Systems
Petit, G. (2000) · International Association of Geodesy symposia · doi:10.1007/978-3-642-59745-9_1 · Cited by 6
A general relativistic model for free-fall absolute gravimeters
Tan, Y.-J., Shao, C.-G., Li, J., & Hu, Z.-K. (2016) · Metrologia · doi:10.1088/0026-1394/53/2/846 · Cited by 3
Kopeikin, S. M., Efroimsky, M., & Kaplan, G. H. (2011) · Wiley eBooks · doi:10.1002/9783527634569.ch8 · Cited by 2
Philipp, D., Perlick, V., Puetzfeld, D., Hackmann, E., & Lämmerzahl, C. (2017) · IEEE International Workshop on Metrology for AeroSpace (MetroAeroSpace) · doi:10.1109/metroaerospace.2017.7999549 · Cited by 1
Use of Geodesy and Geophysics Measurements to Probe the Gravitational Interaction
Hees, A., Bourgoin, A., Delva, P., Poncin-Lafitte, C. L., & Wolf, P. (2019) · Fundamental theories of physics · doi:10.1007/978-3-030-11500-5_9 · Cited by 1
General relativity and geodesy
Hackmann, E., Huckfeldt, M., Lämmerzahl, C., Philipp, D., & Rievers, B. (2024) · International Journal of Modern Physics D · doi:10.1142/s0218271825400115
Metadata
- Authors
- Soffel, M., Herold, H., Ruder, H., & Schneider, M.
- Affiliations
- Technical University of Munich (DE)
- University of Tübingen (DE)
- ORCID
- Soffel, M.
- Venue
- manuscripta geodaetica
- Published
- 1988-03
- Volume
- 13
- Issue
- 3
- Pages
- 143-146
- ISSN
- 0340-8825 (ISSN-L)
- OpenAlex
- W4403493752
- Cited by
- 20
- References
- 6
- Citations by year
- 2024: 1 · 2019: 2 · 2018: 1 · 2017: 4 · 2016: 1 · 2015: 2 · 2013: 1
- FWCI
- 1.99
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Manuscripta geodetica. (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Earth and Planetary Sciences › Geophysics › Geophysics and Gravity Measurements
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- level surfaces
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