Geodesy and relativity
Integrity signals
Registry
Cites
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Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
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 Müller et al. (2008)
Higher order relativistic corrections (terms of order c^-4 in ε) are of the order 2 × 10^-19 or below in the AFS relative frequency.
“Higher order relativistic corrections (terms of order c -4 in ϵ ) are of the order 2 × 10 -19 or below in the AFS relative frequency [70].”
From Chronometric Geodesy: Methods and Applications (2019) · cites this paper as [70]
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References 76 · Cited by 82
- Authors
- Müller, J., Soffel, M., & Klioner, S. A.
- Affiliations
- Leibniz University Hannover (DE)
- Technische Universität Dresden (DE)
- Corresponding author
- Müller, Jürgen
- Venue
- Journal of Geodesy
- Published
- 2007-06-06
- Volume
- 82
- Issue
- 3
- Pages
- 133-145
- ISSN
- 0949-7714 (ISSN-L)
- 1432-1394
- OpenAlex
- W2031671816
- Cited by
- 82
- References
- 76
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 2 · 2023: 5 · 2022: 2 · 2021: 2 · 2020: 3 · 2019: 8 · 2018: 5 · 2017: 6 · 2016: 8 · 2015: 4 · 2014: 6 · 2013: 10 · 2012: 5
- FWCI
- 6.41
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Journal of Geodesy (publishedVersion)
- Topics
- Physical Sciences › Engineering › Aerospace Engineering › GNSS positioning and interference
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Earth and Planetary Sciences › Oceanography › Geophysics and Gravity Measurements
- Keywords
- general relativity, geodetic reference systems, International Terrestrial Reference System, International Celestial Reference System, post-Newtonian approximation, gravity field, space geodesy, very long baseline interferometry, GPS, satellite laser ranging, lunar laser ranging, time frames, signal propagation, optical clocks, Galileo
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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