标题： 黑洞运动作为轨道共振的催化剂 显示英文标题

标题： Black Hole Motion as Catalyst of Orbital Resonances

摘要： 黑洞围绕其宿主星系质心的运动会引起周围恒星群体的强烈响应。 我们对谐波势的情况进行解析处理，并表明该势场中处于圆形轨道上的恒星有一半会转移到能量较低的轨道，而另一半则获得正向推动并退至更大的半径。 黑洞本身仍处于固定振幅的轨道上，仅作为恒星能量分布函数f(E)演化的催化剂。 我们证明这种效应可作用到大约3到4倍于黑洞影响半径R_bh的范围。 我们使用数值积分来更全面地研究恒星分布对黑洞运动的响应。 我们考虑对数势中的轨道，并将处于圆形轨道上的恒星的响应与“温暖”和“热”（各向同性）恒星速度场的情况进行比较。 虽然密度图中看到的特征现在被消除了，但黑洞运动的运动学特征仍然以约18%的局部均方根速度弥散sigma的量级在恒星视线方向平均速度上留下印记。 显示英文摘要

摘要： The motion of a black hole about the centre of gravity of its host galaxy induces a strong response from the surrounding stellar population. We treat the case of a harmonic potential analytically and show that half of the stars on circular orbits in that potential shift to an orbit of lower energy, while the other half receive a positive boost and recede to a larger radius. The black hole itself remains on an orbit of fixed amplitude and merely acts as a catalyst for the evolution of the stellar energy distribution function f(E). We show that this effect is operative out to a radius of approx 3 to 4 times the hole's influence radius, R_bh. We use numerical integration to explore more fully the response of a stellar distribution to black hole motion. We consider orbits in a logarithmic potential and compare the response of stars on circular orbits, to the situation of a `warm' and `hot' (isotropic) stellar velocity field. While features seen in density maps are now wiped out, the kinematic signature of black hole motion still imprints the stellar line-of-sight mean velocity to a magnitude ~18% the local root mean-square velocity dispersion sigma.