The DOI matches its Crossref record.
On the Use of Trigonometric Parallaxes for the Calibration of Luminosity Systems: Theory
Open accessAbstract
Trumpler and Weaver (1953) discuss a systematic error which they attribute to the process of selecting stars by a lower limit in parallax values. The systematic error is introduced because, on the average, the observed parallaxes are larger than the true parallaxes. We demonstrate that the same type of systematic effect exists for all stars with observed trigonometric parallaxes. The problem is treated analytically and can be put in a dimensiouless form. The size of the systematic error depends only upon the ratio oH0 where 0 is the standard deviation of irO, the observed parallax. Corrections are obtained which are to be applied to absolute magnitudes derived from trigonometric parallaxes. The corrected absolute magnitudes are the proper values to use in luminosity calibrations. Key words: luminosity calibration - systematic errors - trigonometric parallaxes
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
Cited by
Riess, A. G., Yuan, W., Macri, L. M., Scolnic, D., Brout, D., Casertano, S., Jones, D. O., Murakami, Y., Anand, G. S., Breuval, L., et al. (2022) · The Astrophysical Journal Letters · doi:10.3847/2041-8213/ac5c5b · Cited by 2,380
The Initial Mass Function of Stars: Evidence for Uniformity in Variable Systems
Kroupa, P. (2002) · Science · doi:10.1126/science.1067524 · Cited by 1,793
A NEW ELECTRON-DENSITY MODEL FOR ESTIMATION OF PULSAR AND FRB DISTANCES
Yao, J. M., Manchester, R. N., & Wang, N. (2017) · The Astrophysical Journal · doi:10.3847/1538-4357/835/1/29 · Cited by 1,114
THE SECOND FERMI LARGE AREA TELESCOPE CATALOG OF GAMMA-RAY PULSARS
Abdo, A. A., Ajello, M., Allafort, A., Baldini, L., Ballet, J., Barbiellini, G., Baring, M. G., Bastieri, D., Belfiore, A., Bellazzini, R., et al. (2013) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/208/2/17 · Cited by 832
High-precision timing of 42 millisecond pulsars with the European Pulsar Timing Array
Desvignes, G., Caballero, R. N., Lentati, L., Verbiest, J. P. W., Champion, D. J., Stappers, B. W., Janssen, G. H., Lazarus, P., Osłowski, S., Babak, S., et al. (2016) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stw483 · Cited by 481
Metadata
- Authors
- Lutz, T. E., & Kelker, D. H.
- Venue
- Publications of the Astronomical Society of the Pacific
- Publisher
- IOP Publishing
- Published
- 1973-10
- Volume
- 85
- Pages
- 573
- ISSN
- 0004-6280 (ISSN-L)
- 1538-3873
- OpenAlex
- W2040367467
- Cited by
- 507
- References
- 0
- FWCI
- 0.00
- 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: On the Use of Trigonometric Parallaxes for the Calibration of Luminosity Systems: Theory. https://app.cochat.ai/papers/10.1086/129506
- The paper
- Lutz, T. E., & Kelker, D. H. (1973). On the Use of Trigonometric Parallaxes for the Calibration of Luminosity Systems: Theory. Publications of the Astronomical Society of the Pacific. https://doi.org/10.1086/129506
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.
