Determination of the mass-ratio distribution. II - Double-lined spectroscopic binary stars

Details Determination of the mass-ratio distribution. II - Double-lined spectroscopic binary stars Determination of the mass-ratio distribution. II - Double-lined spectroscopic binary stars

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992ap%26ss.195..359h&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 195, no. 2, p. 359-372.

Statistics

Computation

4

Binary Stars, Line Spectra, Mass Distribution, Mass Ratios, Stellar Spectrophotometry, Astronomical Catalogs, Computational Astrophysics, Orbital Elements

Scientific paper

The Richardson-Lucy iterative technique for the rectification of observed distributions is applied to a sample of SBII systems from the Eighth Catalogue of Orbital Elements of Spectroscopic Binary Stars (DAO8). The estimates of the real distribution, produced by the Richardson-Lucy method after successive iterations, do not converge in a trivial way. It is shown that, in the application to the mass-ratio distribution of the SBII systems, the iterations should stop considerably earlier than was previously assumed. The enhanced peak at mass-ratios near unity that was found to exist in the real mass-ratio distribution, based on the earlier application of the iterative technique to the SBII systems, is likely to be due to an overshoot effect that occurs when the iterations are carried too far. When the stop criterion is used in the application of the method to the SBII system in the DAO8, the resulting estimate of the real mass-ratio distribution does not show evidence for an enhanced number of binary stars with mass ratios near unity.

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