Migration of Low-Mass Planets

F. Masset
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Abstract

Planet migration is the variation over time of a planet’s semimajor axis, leading to either a contraction or an expansion of the orbit. It results from the exchange of energy and angular momentum between the planet and the disk in which it is embedded during its formation and can cause the semimajor axis to change by as much as two orders of magnitude over the disk’s lifetime. The migration of forming protoplanets is an unavoidable process, and it is thought to be a key ingredient for understanding the variety of extrasolar planetary systems. Although migration occurs for protoplanets of all masses, its properties for low-mass planets (those having up to a few Earth masses) differ significantly from those for high-mass planets. The torque that is exerted by the disk on the planet is composed of different contributions. While migration was first thought to be invariably inward, physical processes that are able to halt or even reverse migration were later uncovered, leading to the realization that the migration path of a forming planet has a very sensitive dependence on the underlying disk parameters. There are other processes that go beyond the case of a single planet experiencing smooth migration under the disk’s tide. This is the case of planetary migration in low-viscosity disks, a fashionable research avenue because protoplanetary disks are thought to have very low viscosity, if any, over most of their planet-forming regions. Such a process is generally significantly chaotic and has to be tackled through high-resolution numerical simulations. The migration of several low-mass planets is also is a very fashionable topic, owing to the discovery by the Kepler mission of many multiple extrasolar planetary systems. The orbital properties of these systems suggest that at least some of them have experienced substantial migration. Although there have been many studies to account for the orbital properties of these systems, there is as yet no clear picture of the different processes that shaped them. Finally, some recently unveiled processes could be important for the migration of low-mass planets. One process is aero-resonant migration, in which a swarm of planetesimals subjected to aerodynamic drag push a planet inward when they reach a mean-motion resonance with the planet, while another process is based on so-called thermal torques, which arise when thermal diffusion in the disk is taken into account, or when the planet, heated by accretion, releases heat into the ambient gas.
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低质量行星的迁移
行星迁移是行星半长轴随时间的变化,导致轨道收缩或扩张。它是由行星和盘面之间的能量和角动量交换产生的,在行星形成的过程中,它被嵌入盘面中,并可能导致半长轴在盘面的生命周期中发生多达两个数量级的变化。形成原行星的迁移是一个不可避免的过程,它被认为是理解太阳系外行星系统多样性的关键因素。虽然迁移发生在所有质量的原行星上,但低质量行星(那些只有几个地球质量的行星)的迁移性质与高质量行星的迁移性质有很大不同。圆盘对行星施加的扭矩由不同的贡献组成。虽然迁移最初被认为总是向内的,但后来发现了能够阻止甚至逆转迁移的物理过程,从而认识到形成行星的迁移路径对潜在的磁盘参数具有非常敏感的依赖性。除了单个行星在行星盘的潮汐下经历平稳迁移之外,还有其他的过程。这是行星在低粘度盘上迁移的情况,这是一种流行的研究途径,因为原行星盘被认为具有非常低的粘度,如果有的话,在它们的大多数行星形成区域。这样的过程通常是非常混乱的,必须通过高分辨率的数值模拟来解决。几个低质量行星的迁移也是一个非常流行的话题,因为开普勒任务发现了许多多太阳系外行星系统。这些系统的轨道特性表明,至少其中一些系统经历了大规模的迁移。虽然已经有许多研究来解释这些系统的轨道特性,但迄今为止还没有清晰的图像来描述形成它们的不同过程。最后,最近揭示的一些过程可能对低质量行星的迁移很重要。一个过程是气动共振迁移,其中一群受到空气动力学阻力的星子在与行星达到平均运动共振时向内推动行星,而另一个过程是基于所谓的热扭矩,当考虑到圆盘中的热扩散时,或者当行星被吸积加热时,将热量释放到周围的气体中。
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