论文标题
Kerr黑洞周围的偏心赤道轨迹作为M82X-1的QPO模型
Eccentric equatorial trajectories around a Kerr black hole as a QPO model for M82X-1
论文作者
论文摘要
We study the bound orbit conditions for equatorial and eccentric orbits around a Kerr black hole both in the parameter space ($E$, $L$, $a$) representing the energy, angular momentum of the test particle, and spin of the black hole, and also ($e$, $μ$, $a$) space representing the eccentricity, inverse-latus rectum of the orbit, and spin.我们应用这些条件并将相对论进动（RP）模型实施到M82X-1，该模型是一个中间质量黑洞（IMBH）系统，其中两个高频准周期振荡（HFQPOS）和一个低频QPO同时观察到。假设QPO频率也可以通过赤道和偏心轨迹生成，我们将概率分布计算为推断$ e $，$ a $和periastron距离（$ r_p $）的概率分布，从而导致同时QPO。我们发现，在最内向稳定的圆形轨道（ISCO）和边界边界圆形轨道（MBCO）之间的区域中，对于$ e = 0.2768^{+0.0657} _ { - 0.0451} $，$ e = 0.27657} $，$ e，$ e，$ e = 0.2897 \ a = 0.2897 \ pm pm pm 0.0087 \ pm，＆a $ r_p = 4.6164^{+0.0694} _ { - 0.1259} $。
We study the bound orbit conditions for equatorial and eccentric orbits around a Kerr black hole both in the parameter space ($E$, $L$, $a$) representing the energy, angular momentum of the test particle, and spin of the black hole, and also ($e$, $μ$, $a$) space representing the eccentricity, inverse-latus rectum of the orbit, and spin. We apply these conditions and implement the relativistic precession (RP) model to M82X-1, which is an Intermediate-mass black hole (IMBH) system, where two high-frequency Quasi-Periodic Oscillations (HFQPOs) and a low-frequency QPO were simultaneously observed. Assuming that the QPO frequencies can also be generated by equatorial and eccentric trajectories, we calculate the probability distributions to infer $e$, $a$, and periastron distance, $r_p$, of the orbit giving rise to simultaneous QPOs. We find that an eccentric orbit solution is possible in the region between innermost stable circular orbit (ISCO) and the marginally bound circular orbit (MBCO) for $e=0.2768^{+0.0657}_{-0.0451}$, $a=0.2897 \pm 0.0087$, and $r_p=4.6164^{+0.0694}_{-0.1259}$.
