Statistical study of visual binaries

Abstract

In this paper, some statistical distributions of wide pairs included in the Washington Double Star Catalog are investigated. Frequency distributions and testing hypothesis are derived for some basic parameters of visual binaries. It was found that the magnitude difference is distributed exponentially, which means that the majority of the components of the selected systems are of the same spectral type. The distribution of mass ratios is concentrated at about 0.7 which agrees with Salpeter mass function. The distribution of the linear separation appears to be exponential which contradicts previous studies for close binaries.