Title: Growth of eccentric modes in disc-planet interactions Show Chinese title

Title: 盘-行星相互作用中偏心模的增长

Abstract: We formulate a set of linear equations that describe the behaviour of small eccentricities in a protoplanetary system consisting of a gaseous disc and a planet. Eccentricity propagates through the disc by means of pressure and self-gravity, and is exchanged with the planet via secular interactions. Excitation and damping of eccentricity can occur through Lindblad and corotation resonances, as well as viscosity. We compute normal modes of the coupled disc-planet system in the case of short-period giant planets orbiting inside an inner cavity, possibly carved by the stellar magnetosphere. Three-dimensional effects allow for a mode to be trapped in the inner parts of the disc. This mode can easily grow within the disc's lifetime. An eccentric mode dominated by the planet can also grow, although less rapidly. We compute the structure and growth rates of these modes and their dependence on the assumed properties of the disc. Show Chinese abstract

Abstract: 我们建立了一组线性方程，用于描述由气体盘和行星组成的原行星系统中小偏心率的行为。 偏心率通过压力和自引力在盘中传播，并通过长期相互作用与行星交换。 偏心率的激发和阻尼可以通过Lindblad共振和共转共振以及粘性来实现。 我们计算了短周期巨行星在内腔中运行时耦合盘-行星系统的正则模态，内腔可能由恒星磁层雕刻而成。 三维效应允许一种模式被困在盘的内部区域。 这种模式可以在盘的生命周期内轻松增长。 一种主要由行星主导的偏心模式也可以生长，尽管速度较慢。 我们计算了这些模式的结构和增长率及其对假设盘属性的依赖关系。