On the Statistical Use of Trigonometric Parallaxes Random Errors
Abstract
Analysis of the residuals of solutions for both absolute magnitudes and systematic errors yields information on the validity of the adopted external mean errors in trigonometric parallaxes, as well as the degree of reliability of the photometric criterion. From a sample of N stars with trigonometric parallaxes, photometry provides a system of K 'boxes', such that stars in each box are assumed to have the same absolute magnitude. The sample provides N - K independent residuals from N residuals in K boxes. Residual analysis has been applied to two systems of astrophysical boxes: the MK spectral types and luminosity classes (MK), and the 0.01 magnitude boxes of the Geneva photometry (Geneva). The dispersion of the N - K independent residuals distribution was 1.21 plus or minus 0.06 for MK, and 1.02 plus or minus 0.07 for Geneva, while no significant deficiency of the Jenkins precepts for systematic errors were found, nor were significant deviations from normality.
- Publication:
-
IAU Colloq. 48: Modern Astrometry
- Pub Date:
- 1978
- Bibcode:
- 1978moas.coll...37C
- Keywords:
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- Astrometry;
- Astronomical Catalogs;
- Parallax;
- Random Errors;
- Statistical Analysis;
- Error Analysis;
- Stellar Spectrophotometry;
- Trigonometry;
- Astronomy