A SIMPLE ANALYTICAL MODEL FOR GAPS IN PROTOPLANETARY DISKS
A SIMPLE ANALYTICAL MODEL FOR GAPS IN PROTOPLANETARY DISKS
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原行星盘间隙的简单分析模型
DOI：
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发表时间：
2015
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通讯作者：
P. Duffell
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作者：
P. Duffell
本文提出了一个计算表面密度随半径（r）的变化的解析模型。在原行星盘中，行星已经打开了一个缺口。该模型也适用于具有极端双星质量比的环双星盘。可以用代数方法求解差距轮廓，而无需执行任何数值积分。与以前的一维间隙模型相比，该模型正确地预测了低质量（亚木星）行星可以在足够低的粘度盘中打开间隙，并且正确地恢复了间隙深度对行星与星星质量比q，盘纵横比h / r？>，以及前人数值研究中发现的无量纲粘度α。分析间隙轮廓进行了比较，数值计算的参数空间范围内的q，h / r？>、和α，证明了“部分间隙”机制的准确再现，并且在广泛的参数空间内基本一致。
An analytical model is presented for calculating the surface density as a function of radius &Sgr; ( r ) ?> in protoplanetary disks in which a planet has opened a gap. This model is also applicable to circumbinary disks with extreme binary mass ratios. The gap profile can be solved for algebraically, without performing any numerical integrals. In contrast with previous one-dimensional gap models, this model correctly predicts that low-mass (sub-Jupiter) planets can open gaps in sufficiently low-viscosity disks, and it correctly recovers the power-law dependence of gap depth on planet-to-star mass ratio q, disk aspect ratio h / r ?> , and dimensionless viscosity α found in previous numerical studies. Analytical gap profiles are compared with numerical calculations over a range of parameter space in q, h / r ?> , and α, demonstrating accurate reproduction of the “partial gap” regime, and general agreement over a wide range of parameter space.