The distribution of binary mass ratios

Mathematics – Probability

Scientific paper

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Binary Stars, Mass Ratios, Stellar Mass, Poisson Ratio, Probability Distribution Functions, Protostars

Scientific paper

The distribution of binary mass ratios is studied in a context of rapid captures in a protostellar ensemble. A power-law mass function is used, and the spatial distribution of stars is modeled as a Poisson process. This gives rise to various forms of mass ratio distribution in response to the power-law index and the limits of the mass range. By comparing these forms with observed results, some constraints may be placed on preferable forms for the initial mass function (IMF) in the ensemble. However, such arguments have to be qualified against a background of numerous complicating factors both observational and theoretical, some further aspects of which are also discussed.

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