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arXiv 2008.01424astro-ph.GA
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球状星团与椭圆星系的动力学

The Dynamics of Globular Clusters and Elliptical Galaxies

John H Marr

AI总结:

本文构建球形星系引力坍缩模型,解释球状星团与椭圆星系的密度及半径-质量关系,并提出星系膨胀至初始半径约1.136倍的普适规律。

摘要:

本文建立了一个理想化球形星系模型,描述其从星系分离时期的均匀质量分布出发,经由引力坍缩直至达到平衡状态的演化过程。计算得到的最终理论径向面密度与两个球状星团 M15 和 M80 的观测数据吻合良好。文中计算了平均循环时间和速度,建立了速度-半径曲线并导出高斯 RMS 值,据此绘制了 544 个椭圆星系以及致密、大质量和中等质量天体的半光半径-质量关系图。这些图显示,平均 log-log R-M_vir 线性斜率为 0.604±0.003,在跨越 7 个数量级的质量范围内等价于 Faber-Jackson 斜率 γ=3.66±0.009;而在 R_{1/2}-σ 半对数图上斜率为 0.0045±0.0001。球状星团、矮椭圆星系和矮球状星系在这些图上表现出明显异常,这与椭圆星系含有超大质量黑洞(SMBH)相一致:其质量随速度弥散增大而增加;相比之下,其余类型的球形或不规则星系不具有大质量核心。对运动方程的分析提出了一条普适规律:所有球形星系都从星系分离时期的初始半径膨胀,在弛豫状态下达到约为初始半径 1.136 倍的稳定最大半径。

英文摘要:

A model is developed for an idealised spherical galaxy evolving from a uniform mass distribution at the epoch of galactic separation until attaining an equilibrium state through gravitational collapse. The final theoretical radial surface density is computed and shows a good fit to the observational data for two globular clusters, M15 and M80. The mean cycle time and velocity are computed, the velocity-radius curve is developed and Gaussian RMS values derived, from which half-light radius vs. mass are plotted for 544 ellipticals plus compact, massive, and intermediate-mass objects. These show a linear mean log-log $R$-$M_{vir}$ slope of ${0.604\pm0.003}$, equivalent to a Faber-Jackson slope of $γ=3.66{\pm}0.009$ over a mass range of 7 decades. and a slope of $0.0045\pm0.0001$ on a semi-log plot of $R_{1/2}-σ$. Globular clusters, dwarf elliptical and dwarf spherical galaxies show a distinct anomaly on these plots, consistent with the ellipticals containing a supermassive black hole (SMBH) whose mass increases as the velocity dispersion increases, compared with the remaining types of spherical or irregular galaxies without a massive core. Analysis of the equations of motion suggested the generalised rule that all spherical galaxies expand from their initial radius at the epoch of galactic separation to a stable maximum radius of $\simeq1.136$ times their initial radius in their relaxed state.

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。

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