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arXiv 1006.4702astro-ph.EPastro-ph.SR
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辐照行星大气的辐射平衡

On the radiative equilibrium of irradiated planetary atmospheres

Tristan Guillot

摘要:

恒星和行星的演化主要受其大气层的性质控制。这在靠近恒星的系外行星的情况下尤其如此,对于这种情况,人们必须考虑(通常是强烈的)辐射通量,以及负责内部行星热量逐渐损失的内在通量。目前的工作的目标是帮助理解的辐射转移和平流系外大气之间的耦合,并提供对深大气层的温度约束。这对于评估修改假设的不透明度来源和/或热传输是否可以解释迄今为止发现的大量巨型系外行星的膨胀尺寸至关重要。我用一个简单的分析方法的启发爱丁顿的近似恒星大气的温度和光学深度之间的关系,得到有效的平面平行静态灰色大气既运输的内部热通量和接收外部辐射通量。该模型被参数化为平均可见光和热不透明度的函数,分别。该模型显示,再现相对较好的温度分布从更复杂的辐射转移计算的系外行星大气。它自然地解释了为什么当光学中的不透明度与红外线中的不透明度相比变得显著时会出现逆温(平流层)。我进一步证明了在恒定光学深度水平上存在水平平流时,平均等效通量(与T^4成正比)是守恒的。这就意味着,作为演化模型外边界的深层大气温度应该根据与整个行星大气有关的模型计算,而不是根据与昼侧或亚恒星点有关的模型计算。在这些条件下,现今的模型产生的深部温度约为1000 K,太冷了,无法解释行星HD 209458 b目前的大小。红外线与可见光的不透明度比需要增加10倍,才能减缓行星的冷却和收缩,足以解释它的大小。然而,在不透明度变化的情况下,或者在能量的非辐射垂直传输的情况下,平均等效通量不再守恒:在夜晚一侧的云的存在或动能的向下传输及其在深层的耗散将有助于使深层大气更热,并可能解释巨型系外行星的膨胀尺寸。

英文摘要:

The evolution of stars and planets is mostly controlled by the properties of their atmosphere. This is particularly true in the case of exoplanets close to their stars, for which one has to account both for an (often intense) irradiation flux, and from an intrinsic flux responsible for the progressive loss of the inner planetary heat. The goals of the present work are to help understanding the coupling between radiative transfer and advection in exoplanetary atmospheres and to provide constraints on the temperatures of the deep atmospheres. This is crucial in assessing whether modifying assumed opacity sources and/or heat transport may explain the inflated sizes of a significant number of giant exoplanets found so far. I use a simple analytical approach inspired by Eddington's approximation for stellar atmospheres to derive a relation between temperature and optical depth valid for plane-parallel static grey atmospheres which are both transporting an intrinsic heat flux and receiving an outer radiation flux. The model is parameterized as a function of mean visible and thermal opacities, respectively. The model is shown to reproduce relatively well temperature profiles obtained from more sophisticated radiative transfer calculations of exoplanetary atmospheres. It naturally explains why a temperature inversion (stratosphere) appears when the opacity in the optical becomes significant compared to that in the infrared. I further show that the mean equivalent flux (proportional to T^4) is conserved in the presence of horizontal advection on constant optical depth levels. This implies with these hypotheses that the deep atmospheric temperature used as outer boundary for the evolution models should be calculated from models pertaining to the entire planetary atmosphere, not from ones that are relevant to the day side or to the substellar point. In these conditions, present-day models yield deep temperatures that are ~1000K too cold to explain the present size of planet HD 209458b. An tenfold increase in the infrared to visible opacity ratio would be required to slow the planetary cooling and contraction sufficiently to explain its size. However, the mean equivalent flux is not conserved anymore in the presence of opacity variations, or in the case of non-radiative vertical transport of energy: The presence of clouds on the night side or a downward transport of kinetic energy and its dissipation at deep levels would help making the deep atmosphere hotter and may explain the inflated sizes of giant exoplanets.

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