The mass-ratio distribution of visual binary stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Binary Stars, Mass Ratios, Stellar Mass, Stellar Orbits, Stellar Spectra, Mass Distribution, Stellar Evolution, Stellar Luminosity

Scientific paper

The present effort to arrive a realistic statistical distribution of the mass-ratio q = M(secondary)/M(primary) investigates the selection effects governing the observations of visual binary stars on the basis of a numerical simulation code which 'generates' binary stars and 'looks' at them to establish whether a terrestrial observer would be capable of detecting them. It is found that the mass-ratio distribution observed for main-sequence systems can be accounted for by a distribution of secondary masses according to the initial mass function (IMF), where phi(M) is proportional to M to the -2.7th power. Numerical simulations of biased sampling show that the q-distribution derived from the Orbits of Visual Binaries catalog is incompatible with the distribution of secondary masses according to the IMF.

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