恒星运动学分析中距离误差的检测与处理
The detection and treatment of distance errors in kinematic analyses of stars
摘要：
我们提出了一种新的方法，用于在自行和视线速度都可用的情况下检测和校正到恒星距离的系统误差。该方法，这是适用于200个或更多的恒星，在天空中有显着的扩展的样本，利用测量的U，V和W的速度分量之间的相关性引入的距离误差。我们提供了一个形式主义来描述和解释的具体印记的距离误差，包括虚假的速度相关性和移动的平均运动的样本。我们考虑到测量误差，银河系的旋转和变化的速度椭球体在银河系中的位置的方向引入的相关性。对伪数据的测试表明，该方法比传统方法具有更好的鲁棒性和灵敏度。我们调查的方法来表征的概率分布的距离误差，除了平均距离误差，这是本文的主题。最高估距离的恒星会使我们对整体距离尺度的估计产生偏差，导致校正后的距离稍微太小。我们给出了一个公式，可以用来纠正这种影响。我们将该方法应用于SEGUE调查中的恒星样本，探索最佳重力切割，样本污染，并校正所使用的距离关系。
英文摘要：
We present a new method for detecting and correcting systematic errors in the distances to stars when both proper motions and line-of-sight velocities are available. The method, which is applicable for samples of 200 or more stars that have a significant extension on the sky, exploits correlations between the measured U, V and W velocity components that are introduced by distance errors. We deliver a formalism to describe and interpret the specific imprints of distance errors including spurious velocity correlations and shifts of mean motion in a sample. We take into account correlations introduced by measurement errors, Galactic rotation and changes in the orientation of the velocity ellipsoid with position in the Galaxy. Tests on pseudodata show that the method is more robust and sensitive than traditional approaches to this problem. We investigate approaches to characterising the probability distribution of distance errors, in addition to the mean distance error, which is the main theme of the paper. Stars with the most overestimated distances bias our estimate of the overall distance scale, leading to the corrected distances being slightly too small. We give a formula that can be used to correct for this effect. We apply the method to samples of stars from the SEGUE survey, exploring optimal gravity cuts, sample contamination, and correcting the used distance relations.
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