论文标题
集群I中二进制的频率和质量比分布：方法和应用的描述M67
The Frequency and Mass-Ratio Distribution of Binaries in Clusters I: Description of the method and application to M67
论文作者
论文摘要
我们提出了一种新的方法，用于恒星颜色 - 磁性图（CMD）的概率生成建模，以推断二进制恒星及其质量比率分布的频率。该方法调用混合模型来说明CMD中单星，二进制组和异常值的重叠种群。我们将模型应用于Gaia的观测值M67，并找到一个频率$ f_b（q> 0.5）= 0.258 \ pm 0.019 $，质量比大于0.5的二进制恒星。质量比率分布函数的形式以$> 0.3 $的质量比率上升。
We present a new method for probabilistic generative modelling of stellar colour-magnitude diagrams (CMDs) to infer the frequency of binary stars and their mass-ratio distribution. The method invokes a mixture model to account for overlapping populations of single stars, binaries and outliers in the CMD. We apply the model to Gaia observations of the old open cluster, M67, and find a frequency $f_B(q > 0.5) = 0.258 \pm 0.019$ for binary stars with mass ratio greater than 0.5. The form of the mass-ratio distribution function rises towards higher mass ratios for $q > 0.3$.
