论文标题
原星磁盘中的径向开放行星的径向迁移。 ii。行星对的情况
Radial migration of gap-opening planets in protoplanetary disks. II. The case of a planet pair
论文作者
论文摘要
当两个行星出生在一个原星盘中时，由于趋同的行星迁移，它们可能会引起平均动作共振。平均动作共振的形成对于理解行星系统如何在磁盘环境中形成的方式很重要。由于最新的部分偏开行星迁移的进展，我们已经调查了行星对轨道的轨道演变，以广泛的质量和磁盘特性，目的是找出何时可能发生共振。使用该公式用于以前工作中开发的差距开放行星的迁移时间尺度，我们得出了一个简单的标准，该标准使我们能够预测何时会收敛迁移（不同）。此外，我们使用二维流体动力模拟验证了标准。我们发现，在进化早期形成的谐振对行星会在以后的时间偏离共振，因为外行星的迁移速度由于间隙的形成而变慢。此外，采用了我们的迁移时间尺度公式，我们还进行了三体模拟，这证实了流体动力模拟的结果。最后，我们将我们的预测与观测值进行了比较，选择了已知的两行星系统的样本。
When two planets are born in a protoplanetary disk, they may enter into a mean-motion resonance as a consequence of the convergent planetary migration. The formation of mean-motion resonances is important for understanding how the planetary systems are shaped in the disk environments. Motivated by recent progress in the comprehension of the migration of partial gap-opening planets, we have investigated the orbital evolution of the planet pairs in a wide range of masses and disk properties with the aim to find out when the resonance capture is likely to happen. Using the formula for the migration timescale of a gap-opening planet developed in our previous work, we have derived a simple criterion that allows us to predict when the migration will be convergent (divergent). Further, we have verified the criterion using two-dimensional hydrodynamic simulations. We have found that the resonant pair of planets formed at the early phase of evolution can depart from the resonance at later times because the migration speed of the outer planet slows down due to the gap formation. Moreover, adopting our formula of the migration timescale, we have also carried out three-body simulations, which confirm the results of hydrodynamic simulations. Finally, we have compared our predictions with the observations, selecting a sample of known two-planet systems.
