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arXiv 0801.1081astro-ph
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单个恒星星族基本参数的稳健统计估计。I.方法

A robust statistical estimation of the basic parameters of single stellar populations. I. Method

X. Hernandez, D. Valls-Gabaud

摘要:

疏散星团和球状星团等单个恒星星族的色星等图为检验恒星演化理论提供了最好的天然实验室。虽然各种各样的技术已被用来推断这些简单的人口的基本属性,系统的不确定性产生的纯粹几何退化所产生的类似形状的等时线的不同年龄和金属丰度。在这里,我们提出了一个客观和强大的统计技术,升降机这种简并在很大程度上通过使用一个关键的观察:沿等时线的恒星数量。通过广泛的蒙特卡罗模拟,我们表明,例如,我们可以推断出四个主要参数(年龄,金属丰度,距离和红化)在一个客观的方式,随着强大的置信区间和完整的协方差矩阵。我们表明,系统的不确定性,由于现场污染,未解决的双星,初始或现今的恒星质量函数是可以忽略不计或控制。这项技术第一次提供了一种正确的方法,以前所未有的准确性推断简单恒星星族的基本性质,在一个易于实现的算法。

英文摘要:

The colour-magnitude diagrams of resolved single stellar populations, such as open and globular clusters, have provided the best natural laboratories to test stellar evolution theory. Whilst a variety of techniques have been used to infer the basic properties of these simple populations, systematic uncertainties arise from the purely geometrical degeneracy produced by the similar shape of isochrones of different ages and metallicities. Here we present an objective and robust statistical technique which lifts this degeneracy to a great extent through the use of a key observable: the number of stars along the isochrone. Through extensive Monte Carlo simulations we show that, for instance, we can infer the four main parameters (age, metallicity, distance and reddening) in an objective way, along with robust confidence intervals and their full covariance matrix. We show that systematic uncertainties due to field contamination, unresolved binaries, initial or present-day stellar mass function are either negligible or well under control. This technique provides, for the first time, a proper way to infer with unprecedented accuracy the fundamental properties of simple stellar populations, in an easy-to-implement algorithm.

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