观测星团的初始条件- I.方法描述和验证
The initial conditions of observed star clusters - I. Method description and validation
摘要：
我们已经耦合了一个快速的，参数化的星团演化代码的马尔可夫链蒙特卡罗代码，以确定所观察到的星团，这可能作为一个起点，为未来的$N$体计算的可能的初始条件的分布。在本文中，我们验证了我们的方法，将其应用到一组星团，已详细研究了数字与$N$体模拟和蒙特卡罗方法：银河系球状星团M4，47 Tuccino，NGC 6397，M22，$ω$半人马座，Palomar 14和Palomar 4，银河系疏散星团M67，和M31球状星团G1。对于每个集群，我们得到一个分布的初始条件，在进化到集群的当前年龄，进化到当前观察到的条件。我们发现，有一个连接之间的形态分布的初始条件和集群的动力学年龄和退化的初始半质量半径向小半径的集群已经经历了核心崩溃在其演化过程中。我们发现，我们的方法的结果是一致的$N$体和Monte Carlo研究的大部分集群。我们的结论是，我们的方法是能够找到可靠的后验为所确定的初始质量和半质量半径观测星团，从而形成一个合适的起点，为模拟观测到的集群\rq{}的演变。
英文摘要：
We have coupled a fast, parametrized star cluster evolution code to a Markov Chain Monte Carlo code to determine the distribution of probable initial conditions of observed star clusters, which may serve as a starting point for future $N$-body calculations. In this paper we validate our method by applying it to a set of star clusters which have been studied in detail numerically with $N$-body simulations and Monte Carlo methods: the Galactic globular clusters M4, 47 Tucanae, NGC 6397, M22, $ω$ Centauri, Palomar 14 and Palomar 4, the Galactic open cluster M67, and the M31 globular cluster G1. For each cluster we derive a distribution of initial conditions that, after evolution up to the cluster's current age, evolves to the currently observed conditions. We find that there is a connection between the morphology of the distribution of initial conditions and the dynamical age of a cluster and that a degeneracy in the initial half-mass radius towards small radii is present for clusters which have undergone a core collapse during their evolution. We find that the results of our method are in agreement with $N$-body and Monte Carlo studies for the majority of clusters. We conclude that our method is able to find reliable posteriors for the determined initial mass and half-mass radius for observed star clusters, and thus forms an suitable starting point for modeling an observed cluster\rq{}s evolution.
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