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arXiv 2602.16769astro-ph.EP
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关于被行星扰动的盘的偏心性 I -- 这些盘有多偏心?

On Eccentric Protoplanetary Disks I -- How Eccentric are Planet-Perturbed Disks?

Clemson University(克莱姆森大学)

Cory Padgett, Jeffrey Fung

AI总结:

研究通过二维模拟揭示行星扰动下盘的偏心性形成机制,并提出偏心率与参数的关系式,为观测偏心盘提供理论基础。

摘要:

类行星盘可以当行星在其中开深间隙时变得偏心,但它们有多偏心呢?我们通过分析行星-盘相互作用的二维流体动力学模拟来回答这个问题。外盘(在行星轨道之外)的稳态偏心率由1:3偏心Lindblad共振引起偏心率激发与气体压力引起偏心率阻尼之间的平衡来描述。这种偏心率与q( hp / rp )^(-1)( rgap / rp )^(a - b/2 - 2)成比例,其中q是行星-恒星质量比,hp / rp是盘的倾角比,rgap / rp是外间隙边缘的径向位置除以行星的位置,a和b分别是盘表面密度和温度幂律剖面的负指数。我们推导出一个半解析的偏心率剖面,其与数值模拟的吻合度在30%以内。我们的结果是定量解释偏心类行星盘观测结果的第一步,例如MWC 758、HD 142527、IRS 48和CI Tau。

英文摘要:

Protoplanetary disks can become eccentric when planets open deep gaps within, but how eccentric are they? We answer this question by analyzing two-dimensional hydrodynamical simulations of planet-disk interaction. The steady state eccentricity of the outer disk (outside of the planet's orbit) is described as a balance between eccentricity excitation by the 1:3 eccentric Lindblad resonance and eccentricity damping by gas pressure. This eccentricity scales with $q(\frac{h_p}{r_p})^{(-1)}(\frac{r_{gap}}{r_p})^{(a-\frac{b}{2}-2)}$, where $q$ is the planet-to-star mass ratio, $\frac{h_p}{r_p}$ is the disk aspect ratio, $\frac{r_{gap}}{r_p}$ is the radial position of the outer gap edge divided by the planet's position, and $a$ and $b$ are the negative exponents in the disk's surface density and temperature power law profiles, respectively. We derive a semi-analytic eccentricity profile that agrees with numerical simulations to within 30%. Our result is a first step to quantitatively interpret observations of eccentric protoplanetary disks, such as MWC 758, HD 142527, IRS 48, and CI Tau.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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