A reexamination of massluminosity relations from binarystar data
Abstract
The empirical stellar massluminosity relationship has been investigated with the help of a recent careful compilation of binarystar data which includes estimates of errors in mass and luminosity measurements. Several different statistical methods of fitting straightline relationships to logarithmic plots of the data have been used. One of these, standard leastsquares, is well known. For comparison, the generalized leastsquares method, which takes into account the instrumental errors on both abscissa and ordinate, and a robust nonparametric method due to Theil (1950) have been applied. Parameters of the bestfit lines produced by the three methods agree within the calculated statistical errors. Goddnessoffit has been assessed using the Chisquared test. The data can be fitted in a statistically satisfactory manner by three straightline segments which indicate a flattening of the slope of the empirical massluminosity relation at the extremes of the mass range, in agreement with the conclusions of previous investigations. An alternative sinusoidal fit of slightly lower accuracy is also given for the region of interest. The result is compared with recent theoretical predictions.
 Publication:

Journal of the Royal Astronomical Society of Canada
 Pub Date:
 February 1988
 Bibcode:
 1988JRASC..82....1G
 Keywords:

 Binary Stars;
 Computational Astrophysics;
 Mass To Light Ratios;
 Stellar Luminosity;
 Stellar Mass;
 Error Analysis;
 Goodness Of Fit;
 Least Squares Method;
 Main Sequence Stars;
 PreMain Sequence Stars;
 Robustness (Mathematics);
 Astrophysics