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arXiv 0810.5314astro-ph
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原行星盘中粒子与单行星相互作用的轨道演化

Orbital Evolution of a Particle Interacting with a Single Planet in a Protoplanetary Disk

Takayuki Muto, Shu-ichiro Inutsuka

摘要:

我们研究了嵌入在非湍流气体盘中的小质量行星周围的粒子运动。我们考虑到气体结构的影响,这是由行星之间的引力相互作用修改。我们推导出一个解析公式,该公式描述了由于与行星的遭遇,在遥远的遭遇制度使用本地近似的粒子的半长轴的变化。我们的最终公式包括稳定的,轴对称的径向气流,在磁盘中的全球气体压力梯度,行星重力,和行星的重力修改的气流结构的影响。将解析结果与数值计算结果进行了比较,结果表明,该公式能很好地描述尘埃粒子半长轴的长期演化,特别是对于阻力系数较大的小粒子。讨论了小质量行星周围尘埃隙的形成条件和尘埃粒子的径向分布。我们的公式可以提供一个有用的工具来计算粒子的径向分布在一个磁盘周围的行星。

英文摘要:

We investigate the motion of a particle around a low mass planet embedded in a non-turbulent gaseous disk. We take into account the effect of the gas structure that is modified by the gravitational interaction between the planet. We derive an analytic formula that describes the change of the semi-major axis of the particle due to the encounter with the planet using local approximation in distant encounter regime. Our final formula includes the effects of steady, axisymmetric radial gas flow, the global gas pressure gradient in the disk, planet gravity, and the structure of the gas flow modified by the planet's gravity. We compare the analytic results with numerical calculations, and indicate that our formula well describes the secular evolution of the dust particles' semi-major axes well, especially for small particles with large drag coefficient. We discuss the conditions for dust gap opening around a low mass planet and radial distribution of dust particles. Our formula may provide a useful tool for calculating radial distribution of particles in a disk around the planet.

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