Mass ratios of Hyades binaries derived from color-magnitude positions are inconsistent with random orbital orientations, and a deconvolved re-analysis yields a bimodal distribution that depends on primary mass.
A Renaissance study of Am stars. I. The mass ratio distribution
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abstract
Triggered by the study of Carquillat & Prieur (2007, MNRAS, 380, 1064) of Am binaries, I reanalyse their sample of 60 orbits to derive the mass ratio distribution (MRD), assuming as they did a priori functional forms, i.e. a power law or a Gaussian. The sample is then extended using orbits published by several groups and a full analysis of the MRD is made, without any assumption on the functional form. I derive the MRD using a Richardson-Lucy inversion method, assuming a fixed mass of the Am primary and randomly distributed orbital inclinations. Using the large sub-sample of double-lined spectroscopic binaries, I show that this methodology is indeed perfectly adequate. Using the inversion method, applied to my extended sample of 162 systems, I find that the final MRD can be approximated by a uniform distribution.
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The Bimodal Mass Ratio Distribution of the Hyades
Mass ratios of Hyades binaries derived from color-magnitude positions are inconsistent with random orbital orientations, and a deconvolved re-analysis yields a bimodal distribution that depends on primary mass.