论文标题
超级质量黑洞附近的年轻恒星簇稀释：矢量谐振放松对邻居分离的影响
Young stellar cluster dilution near supermassive black holes: the impact of Vector Resonant Relaxation on neighbour separation
论文作者
论文摘要
我们研究了超级质量黑洞附近年轻恒星簇的轨道取向稀释率。在矢量谐振松弛的框架内，我们预测了恒星轨道平面方向的两点相关函数的时间演变，这是它们初始角度分离和轨道参数中的多样性的函数（半肌轴，偏心度）。正如预期的那样，初始方向和轨道参数中的传播越大，给定的一组共染色恒星的稀释效率就越有效，其特征性时间尺度是由背景电位波动的连贯时间设置的。与数值模拟相匹配的马尔可夫处方使我们能够有效探测未分辨核的潜在运动学特性，当要求与给定稀释效率保持一致，这是由一个sgr a*的一个弧形的恒星验证所施加的。作为概念的证明，我们计算恒定稀释时间的地图作为半轴尖端指数的函数以及旧背景恒星群集中中间质量黑洞的一部分。该计算表明，在这种情况下，矢量谐振弛豫应该证明是有用的，因为它会影响与恒星年龄相当的时间尺度的方向。
We investigate the rate of orbital orientation dilution of young stellar clusters in the vicinity of supermassive black holes. Within the framework of vector resonant relaxation, we predict the time evolution of the two-point correlation function of the stellar orbital plane orientations as a function of their initial angular separation and diversity in orbital parameters (semi-major axis, eccentricity). As expected, the larger the spread in initial orientations and orbital parameters, the more efficient the dilution of a given set of co-eval stars, with a characteristic timescale set up by the coherence time of the background potential fluctuations. A Markovian prescription which matches numerical simulations allows us to efficiently probe the underlying kinematic properties of the unresolved nucleus when requesting consistency with a given dilution efficiency, imposed by the observed stellar disc within the one arcsecond of Sgr A*. As a proof of concept, we compute maps of constant dilution times as a function of the semi major axis cusp index and fraction of intermediate mass black holes in the old background stellar cluster. This computation suggests that vector resonant relaxation should prove useful in this context since it impacts orientations on timescales comparable to the stars' age.
