标题： Gaia 数据发布 3 视向轨道目录选择函数的快速解析经验模型 显示英文标题

标题： A Fast, Analytic Empirical Model of the Gaia Data Release 3 Astrometric Orbit Catalog Selection Function

摘要： 2022年6月，盖亚任务发布了一个包含168,065个双星系统的天文学轨道解的目录，这是迄今为止同类目录中最大的一个。 由于目录构建过程中所做的选择，难以描述目录的选择函数。 为了建模和解释目录内容，需要理解其选择函数。 我们使用解析和经验处方的组合来构建一个函数，该函数计算具有特定属性的双星系统被发布在盖亚数据释放3的天文学轨道目录中的概率。 这是一种互补的方法，与El-Badry等人（2024）更准确但计算成本显著更高的方法相比。 我们还构建了一个双星群体综合模型来验证我们对选择函数的表征，发现除了轨道偏心率分布外，与实际的Gaia NSS目录有很好的一致性。 NSS目录表明，在中间周期（$100 \lesssim P_{orb} \lesssim 1000$天）的高偏心率轨道相对较少见。 作为选择函数的一个应用示例，我们估计了恒星+黑洞双星Gaia BH1和BH2在Gaia DR3中的探测概率，分别为0.38和0.27。 与El-Badry等人（2024）通过详细建模得到的值相比，对于BH1的概率是相同的，而对于BH2则在一个因子内。 我们还估计银河系中类似太阳的恒星+黑洞双星的数量为：对于$100 < P_{orb} < 400$天为$\sim 3000$，对于$400 < P_{orb} < 1000$天为$< 800$，对于$1000 < P_{orb} < 1500$天为$< 12,000$。 显示英文摘要

摘要： In June 2022, the Gaia mission released a catalog of astrometric orbital solutions for 168,065 binary systems, by far the largest such catalog to date. The catalog's selection function is difficult to characterize because of choices made in its construction. Understanding the catalog's selection function is required to model and interpret its contents. We use a combination of analytic and empirical prescriptions to construct a function that computes the probability that a binary with a given set of properties would have been published in the Gaia Data Release 3 astrometric orbit catalog. This is a complementary approach to the more accurate but significantly more computationally expensive approach of El-Badry et al. (2024). We also construct a binary population synthesis model to validate our characterization of the selection function, finding good agreement with the actual Gaia NSS catalog, with the exception of the orbital eccentricity distribution. The NSS catalog suggests high-eccentricity orbits are relatively uncommon at intermediate periods $100 \lesssim P_{orb} \lesssim 1000$ days. As an example application of the selection function, we estimate the Gaia DR3 detection probabilities of the star + BH binaries Gaia BH1 and BH2, and find them to be 0.38 and 0.27, respectively. Compared to the values obtained by detailed modeling in El-Badry et al. (2024), the probabilities are identical for BH1, and within a factor of 2 for BH2. We also estimate the population of Sun-like star + BH binaries in the Galaxy to be $\sim 3000$ for $100 < P_{orb} < 400$ day, $< 800$ for $400 < P_{orb} < 1000$ day, and $< 12,000$ for $1000 < P_{orb} < 1500$ day.