The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
A Practical Relativistic Model for Microarcsecond Astrometry in Space
Open accessAbstract
We develop a practical model for relativistic reduction of positional observations with an accuracy of 1 μas, which is expected to be attained in future space astrometry missions. All relativistic effects that are caused by the gravitational field of the solar system and are of practical importance for this accuracy level are thoroughly calculated and discussed. The model includes relativistic modeling of the motion of the observer and modeling of relativistic aberration and gravitational light deflection, as well as a relativistic treatment of parallax and proper motion suitable for the accuracy of 1 μas. The model is formulated both for remote sources (stars, quasars, etc.) and for solar system objects (asteroids, etc.). The suggested model is formulated within the framework of the parameterized post-Newtonian formalism, with parameters β and γ. However, for general relativity (β = γ = 1) the model is fully compatible with the year 2000 IAU resolutions on relativity in celestial mechanics, astrometry, and metrology. The model is presented in a form suitable for implementation in a software system for data processing or simulation. The changes that should be applied to the model to attain an accuracy of 0.1 μas are reviewed. Potentially important relativistic effects caused by additional gravitational fields that are generated outside of the solar system are also briefly discussed.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Theory and Experiment in Gravitational Physics
Will, C. M. (1993) · doi:10.1017/cbo9780511564246 · Cited by 3,632 · cited 3×
“The model presented in this paper will be given in the framework of the PPN formalism (see, e.g., Will 1993) including two main parameters and , which characterize possible deviations of physical reality from general relativity.”
General-relativistic celestial mechanics. I. Method and definition of reference systems
Damour, T., Soffel, M., & Xu, C. (1991) · Physical Review D · doi:10.1103/physrevd.43.3273 · Cited by 310
Relativistic reference systems and motion of test bodies in the vicinity of the earth
Brumberg, V. A., & Kopejkin, S. M. (1989) · Il Nuovo Cimento B · doi:10.1007/bf02888894 · Cited by 105
Celestial coordinate reference systems in curved space-time
Kopejkin, S. M. (1988) · Celestial Mechanics · doi:10.1007/bf01230709 · Cited by 99
Relativistic Theory of Celestial Reference Frames
Brumberg, V. A., & Kopejkin, S. M. (1989) · Astrophysics and Space Science Library · doi:10.1007/978-94-009-0933-5_6 · Cited by 53
Cited by
Gaia Data Release 2: The astrometric solution
Lindegren, L., Hernández, J., Bombrun, A., Klioner, S., Bastian, U., Ramos-Lerate, M., de Torres, A., Steidelmüller, H., Stephenson, C., Hobbs, D., et al. (2018) · Astronomy & Astrophysics · doi:10.1051/0004-6361/201832727 · Cited by 1,983
Self-citationSoffel, M., Klioner, S. A., Petit, G., Wolf, P., Kopeikin, S. M., Bretagnon, P., Brumberg, V. A., Capitaine, N., Damour, T., Fukushima, T., et al. (2003) · The Astronomical Journal · doi:10.1086/378162 · Cited by 392
Self-citation
Metadata
- Authors
- Klioner, S. A.
- Venue
- The Astronomical Journal
- Publisher
- American Astronomical Society
- Published
- 2003-03
- Volume
- 125
- Issue
- 3
- Pages
- 1580-1597
- ISSN
- 0004-6256 (ISSN-L)
- 1538-3881
- OpenAlex
- W2037671434
- Cited by
- 193
- References
- 5
- FWCI
- 3.09
- Type
- journal article
- Language
- en
- Open access
- bronze
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.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: A Practical Relativistic Model for Microarcsecond Astrometry in Space. https://app.cochat.ai/papers/10.1086/367593
- The paper
- Klioner, S. A. (2003). A Practical Relativistic Model for Microarcsecond Astrometry in Space. The Astronomical Journal. https://doi.org/10.1086/367593
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
