Distribution of mass ratios in spectroscopic binaries

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Distribution (Property), Main Sequence Stars, Mass Ratios, Star Formation

Scientific paper

A total of 205 main-sequence spectroscopic binaries were selected in order to derive the distribution of mass ratios of unevolved close binaries. In the case of single-line binaries, the parameter Y, defined as the mass function divided by the mass of the primary component, was used. The derivation of the distribution of mass ratios was tackled by using three different methods: (1) the use of a mean value for sin cubed i in the mass function, (2) the search for a discrete distribution of mass ratios, and (3) a sampling experiment. These methods were applied to double-line binaries in order to check their efficiency. It was found that method (1) gives erroneous results but provides valuable bins for an histogram of Y; method (2) may be used to obtain a crude approximation, and method (3) is the most valuable, but the scatter in the mass-spectral type relation must be taken into account.

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