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arXiv 1207.4261astro-ph.EP
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粘性对环行星盘的影响

The effects of viscosity on the circumplanetary disks

Defu Bu, Hsien Shang, Feng Yuan

摘要:

采用剪切片模型,通过二维流体动力学模拟,研究了粘性对原行星附近的环行星盘的影响。我们发现,当原行星的质量为$M_p \lesssim 33M_\oplus$,其中$M_\oplus$是地球的质量时,粘度可以影响的性质显着的环行星盘。然而,当原行星$M_p \gtrsim 33M_\oplus$的质量为1.5 μ m时,粘滞性对行星盘的影响可以忽略不计。我们发现,当$M_p \lesssim 33M_\oplus$时,粘性可以大大扰乱行星周围气体的螺旋结构,使气体均匀分布,从而使施加在原行星上的扭矩减弱。因此,粘性可以降低原行星的迁移速度。在包括粘度之后,环行星盘的尺寸可以减小$\gtrsim 20%$的因子。粘性有助于将气体从差速旋转的环星盘输送到环星盘。当考虑$M_p \lesssim 33M_\oplus$时,考虑粘度后,行星盘的质量可以增加50%。简要讨论了粘性对行星和卫星形成的影响。

英文摘要:

The effects of viscosity on the circumplanetary disks residing in the vicinity of protoplanets are investigated through two-dimensional hydrodynamical simulations with the shearing sheet model. We find that viscosity can affect properties of the circumplanetary disk considerably when the mass of the protoplanet is $M_p \lesssim 33M_\oplus$, where $M_\oplus$ is the Earth mass. However, effects of viscosity on the circumplanetary disk are negligibly small when the mass of the protoplanet $M_p \gtrsim 33M_\oplus$. We find that when $M_p \lesssim 33M_\oplus$, viscosity can disrupt the spiral structure of the gas around the planet considerably and make the gas smoothly distributed, which makes the torques exerted on the protoplanet weaker. Thus, viscosity can make the migration speed of a protoplanet lower. After including viscosity, size of the circumplanetary disk can be decreased by a factor of $\gtrsim 20%$. Viscosity helps to transport gas into the circumplanetary disk from the differentially rotating circumstellar disk. The mass of the circumplanetary disk can be increased by a factor of 50% after viscosity is taken into account when $M_p \lesssim 33M_\oplus$. Effects of viscosity on the formation of planets and satellites are briefly discussed.

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