论文标题
球状簇和椭圆星系的动力学
The Dynamics of Globular Clusters and Elliptical Galaxies
论文作者
论文摘要
开发了一个模型，用于理想化的球形星系，从银河分离时期的均匀质量分布演变而成，直到通过重力塌陷达到平衡状态。计算了最终的理论径向表面密度，并显示出两个球状簇M15和M80的观测数据非常拟合。计算了平均周期时间和速度，开发了速度 - 拉迪乌斯曲线并得出高斯RMS值，从中，半光线半径与质量绘制了544个椭圆形，紧凑型，巨大和中间质量的对象。这些显示线性平均log-log $ r $ - $ m_ {vir} $ $ {0.604 \ pm0.003} $，相当于$γ= 3.66 {\ pm} 0.009 $的Faber-Jackson Slope，在7年的质量范围内。 $ r_ {1/2} - σ$的半log图上的$ 0.0045 \ pm0.0001 $。球状簇，矮椭圆形和矮球形星系在这些图上显示出独特的异常现象，与含有超级质量黑洞（SMBH）的椭圆形相一致，其质量随着速度分散体的增加而增加，与没有质量核心的剩余类型相比。对运动方程式的分析表明，所有球形星系从银河分离时期的初始半径扩展到$ \ simeq1.136 $乘以其放宽状态的初始半径倍的稳定最大半径。
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.
