arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1309.0809astro-ph.GAastro-ph.COhep-ph
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在4 kpc < R < 9 kpc时银河系盘表面密度轮廓、盘尺度长度和暗物质轮廓的直接动力学测量

A direct dynamical measurement of the Milky Way's disk surface density profile, disk scale length, and dark matter profile at 4 kpc < R < 9 kpc

Jo Bovy, Hans-Walter Rix

摘要:

我们提出并应用严格的动力学模型,我们推断前所未有的限制恒星和暗物质质量分布在我们的银河系(MW),根据大套相空间数据对个别恒星。具体来说,我们模拟了SEGUE中16,269个G型矮星的动力学,其中采样5 < R_GC/kpc < 12和0.3 < |Z| /kpc < 3。我们独立地拟合参数化MW势和三个积分的基于作用的分布函数(DF)到43个单独的丰度选择的亚群(MAP)的相空间数据,考虑到影响数据的复杂选择效应。我们稳健地测量了中平面1.1 kpc内的总表面密度,在4.5 < R_GC/kpc < 9的范围内为5%。使用具有小径向尺度长度的贫金属MAP作为动力学示踪剂探测4.5 < R_GC/kpc < 7,而具有较长径向尺度长度的MAP样品7 < R_GC/kpc < 9。我们测得质量加权的银盘尺度长度为R_d = 2.15+/-0.14kpc,与光度学推断的恒星质量空间分布一致。我们由此以前所未有的精度动态测量了银河系恒星盘的质量:M_* = 4.6+/-0.3 +3.0 x(R_0/kpc-8)x10^{10}Msun,总的局部表面密度为1.1 kpc = 68+/-4 Msun/pc^2,其中38+/-4 Msun/pc^2是由恒星和恒星残骸贡献的。结合我们的表面密度测量和终极速度曲线,我们发现分子量盘在R=2.2 R_d时最大,V_{c,disk} / V_{c,total} = 0.83+/-0.04。我们还首次将暗晕的径向轮廓限定在如此小的银心半径上,发现ρ_{DM}(r;在R_0附近)\propto 1 / r^α,α< 1.53,置信度为95%。我们的研究结果表明,基于行为的分布函数建模的复杂恒星数据集,现在是一个可行的方法,将是富有成效的解释盖亚数据。

英文摘要:

We present and apply rigorous dynamical modeling with which we infer unprecedented constraints on the stellar and dark matter mass distribution within our Milky Way (MW), based on large sets of phase-space data on individual stars. Specifically, we model the dynamics of 16,269 G-type dwarfs from SEGUE, which sample 5 < R_GC/kpc < 12 and 0.3 < |Z|/kpc < 3. We independently fit a parameterized MW potential and a three-integral, action-based distribution function (DF) to the phase-space data of 43 separate abundance-selected sub-populations (MAPs), accounting for the complex selection effects affecting the data. We robustly measure the total surface density within 1.1 kpc of the mid-plane to 5% over 4.5 < R_GC/kpc < 9. Using metal-poor MAPs with small radial scale lengths as dynamical tracers probes 4.5 < R_GC/kpc < 7, while MAPs with longer radial scale lengths sample 7 < R_GC/kpc < 9. We measure the mass-weighted Galactic disk scale length to be R_d = 2.15+/-0.14 kpc, in agreement with the photometrically inferred spatial distribution of stellar mass. We thereby measure dynamically the mass of the Galactic stellar disk to unprecedented accuracy: M_* = 4.6+/-0.3+3.0x(R_0/kpc-8)x10^{10}Msun and a total local surface density of Σ_{R_0}(Z=1.1 kpc) = 68+/-4 Msun/pc^2 of which 38+/-4 Msun/pc^2 is contributed by stars and stellar remnants. By combining our surface density measurements with the terminal velocity curve, we find that the MW's disk is maximal in that V_{c,disk} / V_{c,total} = 0.83+/-0.04 at R=2.2 R_d. We also constrain for the first time the radial profile of the dark halo at such small Galactocentric radii, finding that ρ_{DM} (r;near R_0) \propto 1 / r^αwith α< 1.53 at 95% confidence. Our results show that action-based distribution-function modeling of complex stellar data sets is now a feasible approach that will be fruitful for interpreting Gaia data.

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