A new determination of the statistical relations between stellar spectral and luminosity classes and stellar effective temperature and luminosity

Details A new determination of the statistical relations between stellar spectral and luminosity classes and stellar effective temperature and luminosity A new determination of the statistical relations between stellar spectral and luminosity classes and stellar effective temperature and luminosity

May 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...177..217d&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 177, no. 1-2, May 1987, p. 217-227.

Astronomy and Astrophysics

Astrophysics

210

Statistical Analysis, Stellar Luminosity, Stellar Spectra, Stellar Temperature, Hertzsprung-Russell Diagram, Stellar Mass

Scientific paper

From a set of 199 determinations of bolometric stellar luminosity L and 268 of stellar effective temperature Teff we derived the statistical dependances of log Teff and log (L/Lsun) respectively on spectral type and luminosity class. For computer-use we introduced continuous variables s (for spectral type) and b (for luminosity class). The relations log Teff (s, b) and log (L/Lsun) (s, b) are given in terms of Chebychev polynomials and their cross-products. A comparison is made with existing systems: there are small differences which we ascribe to the addition of new data on temperature and luminosity, not used in previous determinations. The 1σ values for determinations of unit weight of log Teff and log L respectively appear to be 0.021 and 0.164, which shows that there is a factor eight in their relative accuracies.

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