论文标题
具有极端质量电视的气体驱动灵感的轨道演变:逆行偏心轨道
Orbital evolution of gas-driven inspirals with extreme mass-ratios: retrograde eccentric orbits
论文作者
论文摘要
使用二维模拟,我们计算低质量引力体上的扭矩和工作速率(功率),其长度柔软$ r _ {\ rm soft} $,当它的轨道偏心且相对于磁盘逆转时,它嵌入了气盘中。我们探索轨道怪异$ e $ $ $ $ $ 0 $至$ 0.6 $。我们发现,电源的最大值为$ e \ simeq 0.25(h/0.05)^{2/3} $,其中$ h $是磁盘的长宽比。我们表明,当$ r _ {\ rm soft} $倾向于零时,动力和扭矩将动力摩擦(DF)的局部(非共振)近似值的值收敛。对于具有质量比$ \ Lessim 5 \ times 10^{ - 4} $嵌入的磁带的逆行灵感,嵌入了$ h \ geq 0.025 $的磁盘中,我们的模拟表明,(i)灵感速率几乎不取决于轨道偏心率,并且(ii)当地近似值提供了该元素的价值。讨论了结果对极端质量比率灵感的轨道演变的含义。
Using two-dimensional simulations, we compute the torque and rate of work (power) on a low-mass gravitational body, with softening length $R_{\rm soft}$, embedded in a gaseous disk when its orbit is eccentric and retrograde with respect to the disk. We explore orbital eccentricities $e$ between $0$ and $0.6$. We find that the power has its maximum at $e\simeq 0.25(h/0.05)^{2/3}$, where $h$ is the aspect ratio of the disk. We show that the power and the torque converge to the values predicted in the local (non-resonant) approximation of the dynamical friction (DF) when $R_{\rm soft}$ tends to zero. For retrograde inspirals with mass ratios $\lesssim 5\times 10^{-4}$ embedded in disks with $h\geq 0.025$, our simulations suggest that (i) the rate of inspiral barely depends on the orbital eccentricity and (ii) the local approximation provides the value of this inspiral rate within a factor of $1.5$. The implications of the results for the orbital evolution of extreme mass-ratio inspirals are discussed.