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arXiv 2210.09008astro-ph.EP
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估算偏心轨道上行星打开的间隙深度

Estimating the depth of gaps opened by planets in eccentric orbit

F. J. Sanchez-Salcedo, R. O. Chametla, O. Chrenko

摘要:

行星可以在原行星盘的表面密度上刻出缺口。这些间隙的形成可以减小作用在行星上的共转力矩。此外,间隙可以阻止固体在行星上的吸积,因为灰尘和鹅卵石可以被困在间隙的边缘。这种尘埃的积累可以解释使用高分辨率干涉测量法观察到的环状尘埃结构的起源。在这项工作中,我们提供了一个经验的比例关系的深度的差距清除行星上的偏心轨道作为一个函数的行星-恒星质量比$q$,光盘纵横比$h$,Shakura-Sunyaev粘度参数$α$,和行星偏心率$e$。我们使用启发式方法构建比例关系:我们校准玩具模型的基础上的脉冲近似与2D流体动力学模拟。缩放再现了中等偏心率($e\leq 4h$)的间隙深度,以及间隙内外的表面密度对比度为$\leq 10^{2}$时的间隙深度。我们的框架可以作为更复杂的模型的基础,旨在预测偏心行星的径向间隙轮廓。

英文摘要:

Planets can carve gaps in the surface density of protoplanetary discs. The formation of these gaps can reduce the corotation torques acting on the planets. In addition, gaps can halt the accretion of solids onto the planets as dust and pebbles can be trapped at the edge of the gap. This accumulation of dust could explain the origin of the ring-like dust structures observed using high-resolution interferometry. In this work we provide an empirical scaling relation for the depth of the gap cleared by a planet on an eccentric orbit as a function of the planet-to-star mass ratio $q$, the disc aspect ratio $h$, Shakura-Sunyaev viscosity parameter $α$, and planetary eccentricity $e$. We construct the scaling relation using a heuristic approach: we calibrate a toy model based on the impulse approximation with 2D hydrodynamical simulations. The scaling reproduces the gap depth for moderate eccentricities ($e\leq 4h$) and when the surface density contrast outside and inside the gap is $\leq 10^{2}$. Our framework can be used as the basis of more sophisticated models aiming to predict the radial gap profile for eccentric planets.

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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