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arXiv 1108.4103astro-ph.GA
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太阳附近晕星的轨道偏心率分布

Orbital Eccentricity Distribution of Solar-Neighbour Halo Stars

Kohei Hattori, Yuzuru Yoshii

摘要:

我们目前的理论计算的恒星轨道偏心率的微分分布的太阳邻居晕星的样本。对于给定的能量E和角动量L,采用两种静态的球引力势来定义偏心率e,如等时势和Navarro-Frenk-White势,它们可以作为两个极端,覆盖任何实际的银河系晕势。然后,基于速度各向异性参数β在远离星系中心的径向上单调增加的f(E,L)形式的静态分布函数,用公式表示太阳近邻的偏心率分布ΔN(e),使得β小于1(近各向同性速度分散)在中心区域和渐近接近\sim 1(径向各向异性速度色散)在遥远的地区的晕。我们发现ΔN(e)敏感地依赖于β的径向分布,并且这种敏感性被用来约束β的径向分布,并与最近报道的Δ N_{obs}(e)的一些观测性质进行了比较。特别是,线性的e分布和高e恒星在太阳近邻内晕恒星样本中的比例排除了β的恒定分布,这与Bond et al.(2010)的相反主张相反。我们在星系中心的β \lesssim 0. 5的约束表明,作用于内晕的剧烈弛豫在距离星系中心\sim 10 kpc的尺度半径内是有效的。讨论了这一结果对理解银河系晕的形成和演化有一定的帮助。

英文摘要:

We present theoretical calculations for the differential distribution of stellar orbital eccentricity for a sample of solar-neighbour halo stars. Two types of static, spherical gravitational potentials are adopted to define the eccentricity e for given energy E and angular momentum L, such as an isochrone potential and a Navarro-Frenk-White potential that can serve as two extreme ends covering in-between any realistic potential of the Milky Way halo. The solar-neighbour eccentricity distribution ΔN(e) is then formulated, based on a static distribution function of the form f(E,L) in which the velocity anisotropy parameter βmonotonically increases in the radial direction away from the galaxy center, such that beta is below unity (near isotropic velocity dispersion) in the central region and asymptotically approaches \sim 1 (radially anisotropic velocity dispersion) in the far distant region of the halo. We find that ΔN(e) sensitively depends upon the radial profile of β, and this sensitivity is used to constrain such profile in comparison with some observational properties of ΔN_{obs}(e) recently reported by Carollo et al. (2010). Especially, the linear e-distribution and the fraction of higher-e stars for their sample of solar-neighbour inner-halo stars rule out a constant profile of β, contrary to the opposite claim by Bond et al. (2010). Our constraint of β\lesssim 0.5 at the galaxy center indicates that the violent relaxation that has acted on the inner halo is effective within a scale radius of \sim 10 kpc from the galaxy center. We discuss that our result would help understand the formation and evolution of the Milky Way halo.

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