The Frequency and Mass-Ratio Distribution of Binaries in Clusters -- III: Probabilistic Generative Modelling of Six Young Open Clusters
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| Format: | Preprint |
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2024
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| _version_ | 1866910712898519040 |
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| author | Alexander, Jason Albrow, Michael |
| author_facet | Alexander, Jason Albrow, Michael |
| contents | We apply probabilistic generative modelling of colour-magnitude diagrams to six young Galactic open star clusters and determine their mass functions, binary mass-ratio distributions, and the frequencies of binary stars. We find that younger clusters tend to exhibit a higher incidence of binaries than their older counterparts. The mass-ratio distribution is fairly flat for the clusters with one exception that exhibits a sharp increase for $q\gtrsim0.9$. The ratio of the number of cluster binaries for which $q>0.75$ to the number of binaries for which $q>0.5$ (referred to as $FQ_{75}$) ranges from $\sim0.4 - 0.8$. This metric increases with the binary-star frequency of a cluster, but declines with cluster age. This may be due to non-ionizing 3-body dynamical processing of a primordial population of close binaries with initial mass ratios, $q \simeq 1$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_16089 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Frequency and Mass-Ratio Distribution of Binaries in Clusters -- III: Probabilistic Generative Modelling of Six Young Open Clusters Alexander, Jason Albrow, Michael Astrophysics of Galaxies Solar and Stellar Astrophysics We apply probabilistic generative modelling of colour-magnitude diagrams to six young Galactic open star clusters and determine their mass functions, binary mass-ratio distributions, and the frequencies of binary stars. We find that younger clusters tend to exhibit a higher incidence of binaries than their older counterparts. The mass-ratio distribution is fairly flat for the clusters with one exception that exhibits a sharp increase for $q\gtrsim0.9$. The ratio of the number of cluster binaries for which $q>0.75$ to the number of binaries for which $q>0.5$ (referred to as $FQ_{75}$) ranges from $\sim0.4 - 0.8$. This metric increases with the binary-star frequency of a cluster, but declines with cluster age. This may be due to non-ionizing 3-body dynamical processing of a primordial population of close binaries with initial mass ratios, $q \simeq 1$. |
| title | The Frequency and Mass-Ratio Distribution of Binaries in Clusters -- III: Probabilistic Generative Modelling of Six Young Open Clusters |
| topic | Astrophysics of Galaxies Solar and Stellar Astrophysics |
| url | https://arxiv.org/abs/2411.16089 |