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arXiv 1302.7097astro-ph.GAastro-ph.CO
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确定局部暗物质密度的天体测量模拟观测

Astrometric mock observations for determining the local dark matter density

Shigeki Inoue, Naoteru Gouda

摘要:

太阳系局域暗物质密度的确定是天文学中的经典问题。最近,一种新的方法来确定LDMD的恒星分布和垂直速度色散剖面垂直于银河系平面。这种方法的优点是取消了传统的近似,只使用了很少的假设。我们的目的是仔细审查这种方法,并检查天体测量观测的不确定性的影响。我们讨论了如何确定的LDMD不同的视差,自行和视线速度测量的观测精度。为了研究观测不精确性的影响,我们创建了模拟观测数据的恒星是动态示踪剂的分析星系模型的基础上,并应用参数化的观测误差的模拟数据。我们评估的准确性,确定LDMD通过应用该方法的模拟数据。此外,我们估计了准确确定LDMD所需的样本量和观测精度。我们发现,如果样本量和观测精度令人满意,该方法能够准确地确定LDMD。自行和松弛的随机误差会导致LDMD的系统高估。我们估计,在距离太阳1千秒差距处,视差测量所需的精度约为0.1-0.3毫弧秒;自行精度似乎没有视差那么重要。从这些结果中,我们预计,使用依巴谷目录会高估LDMD,因为不精确的视差测量,如果这种方法被应用,但是,我们强调的能力的方法。我们预计盖亚将提供足够精确的数据来确定LDMD。

英文摘要:

To determine the local dark matter density (LDMD) of the solar system is a classical problem in astronomy. Recently, a novel method of determining the LDMD from stellar distribution and vertical velocity dispersion profiles perpendicular to the Galactic plane was devised. This method has the advantage of abolishing conventional approximations and using only a few assumptions. Our aims are to carefully scrutinize this method and to examine influences by uncertainties of astrometric observations. We discuss how the determinations of the LDMD vary with observational precisions on parallax, proper motion, and line-of-sight velocity measurements. To examine the influences by the observational imprecision, we created mock observation data for stars that are dynamical tracers based on an analytical galaxy model and applied parametrized observational errors to the mock data. We evaluated the accuracy of determining the LDMD by applying the method to the mock data. In addition, we estimated a sample size and observational precision required to determine the LDMD with accuracy. We find that the method is capable of determining the LDMD with accuracy if the sample size and observational precisions are satisfactory. The random errors of parallaxes and proper motions can cause systematic overestimation of the LDMD. We estimate the required precisions of the parallax measurements to be approximately 0.1-0.3 milliarcseconds at 1 kpc away from the Sun; the proper motion precisions do not seem to be as important as the parallaxes. From these results, we expect that using the Hipparcos catalog would overestimate the LDMD because of the imprecise parallax measurements if this method is applied; however, we emphasize the capability of the method. We expect that Gaia will provide data precise enough to determine the LDMD.

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