arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1209.2623astro-ph.SRastro-ph.GA
收藏

用单历元径向速度表征星系团的动态

Characterizing a cluster's dynamic state using a single epoch of radial velocities

Michiel Cottaar, Michael R. Meyer, Richard J. Parker

摘要:

径向速度测量可以用来约束星团的动力学状态。然而,对于速度色散小于几公里/秒的星系团,观测到的径向速度分布往往是由双星的轨道运动,而不是通过星系团的势阱恒星运动占主导地位。我们的目标是从径向速度数据的一个单一的时代,即使是一个集群的速度分散的几分之一公里/秒,使用一个极大似然程序的特征的固有速度分布的集群。假设一个周期,质量比,和偏心率分布的双星在观察到的集群这个过程适合一个动力学模型描述的速度分布的单星和质量中心的双星,同时与径向速度所造成的二进制轨道运动,使用所有的信息,在观察到的速度分布。我们发现,适合的固有速度分布仅弱依赖于所假设的二进制属性,所以在拟合参数的不确定性往往是占主导地位的统计不确定性。基于蒙特卡罗模拟,我们提供了一个估计,这些统计不确定性如何随速度色散,二进制分数,和观测到的恒星的数量,它可以用来估计所需的样本大小,以达到一个特定的精度。最后,我们测试的方法在研究的疏散星团NGC 188,它可以重现的速度色散只有0.5公里/秒,使用一个历元的多历元径向速度数据。如果双星的周期、质量比和偏心率分布是大致已知的,这个过程可以用来校正双星轨道运动对观测速度分布的影响。[摘要]

英文摘要:

Radial velocity measurements can be used to constrain the dynamical state of a stellar cluster. However, for clusters with velocity dispersions smaller than a few km/s the observed radial velocity distribution tends to be dominated by the orbital motions of binaries rather than the stellar motions through the potential well of the cluster. Our goal is to characterize the intrinsic velocity distribution of a cluster from a single epoch of radial velocity data, even for a cluster with a velocity dispersion of a fraction of a km/s, using a maximum likelihood procedure. Assuming a period, mass ratio, and eccentricity distribution for the binaries in the observed cluster this procedure fits a dynamical model describing the velocity distribution for the single stars and center of masses of the binaries, simultaneously with the radial velocities caused by binary orbital motions, using all the information available in the observed velocity distribution. We find that the fits to the intrinsic velocity distribution depend only weakly on the binary properties assumed, so the uncertainty in the fitted parameters tends to be dominated by statistical uncertainties. Based on Monte Carlo simulations we provide an estimate of how these statistical uncertainties vary with the velocity dispersion, binary fraction, and the number of observed stars, which can be used to estimate the sample size needed to reach a specific accuracy. Finally we test the method on the well-studied open cluster NGC 188, showing that it can reproduce a velocity dispersion of only 0.5 km/s using a single epoch of the multi-epoch radial velocity data. If the binary period, mass ratio, and eccentricity distribution of the observed stars are roughly known, this procedure can be used to correct for the effect of binary orbital motions on an observed velocity distribution. [Abridged]

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑