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arXiv 1902.00437astro-ph.EP
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两个质量为100的超级地球系统的9:7平均运动共振俘获

On the 9:7 Mean Motion Resonance Capture in a System of Two Equal-mass Super-Earths

Zijia Cui, John C. B. Papaloizou, Ewa Szuszkiewicz

摘要:

我们研究了一个由两颗小质量行星($m_{1}=m_{2}=3M_{\oplus}$)组成的系统中9:7平均运动共振的形成,该系统嵌入气态原行星盘中,采用全二维流体动力学方法处理盘-行星相互作用。我们的目标是确定有利于捕获两个等质量超级地球进入这种二阶共振的磁盘属性。为此目的,我们已经进行了一系列的数值流体动力学模拟系统的两个超级地球迁移在磁盘上的各种不同的初始参数,并找到了永久或暂时锁定在9:7共振的条件。我们观察到,捕获发生在收敛迁移的行星,如果他们的共振角在到达共振的时刻假设值在一定范围内(捕获窗口内)。这种窗口的宽度取决于由盘参数确定的相对迁移和环化速率。如果相对迁移速率慢,则窗口较宽,并且随着相对迁移速率的增加,窗口变窄。如果迁移率足够高,则窗口将关闭,并且捕获将不会发生。我们还说明了9:7共振窗口的捕获是如何影响的初始偏心率和初始轨道的行星。

英文摘要:

We study the formation of the 9:7 mean motion resonance in a system of two low-mass planets ($m_{1}=m_{2}=3M_{\oplus}$) embedded in a gaseous protoplanetary disk employing a full 2D hydrodynamic treatment of the disk-planet interactions. Our aim is to determine the disk properties that favor a capture of two equal-mass super-Earths into this second-order resonance. For this purpose, we have performed a series of numerical hydrodynamic simulations of the system of two super-Earths migrating in disks with a variety of different initial parameters and found conditions for the permanent or temporary locking in the 9:7 resonance. We observe that capture occurs during the convergent migration of planets if their resonance angle at the moment of arrival at the resonance assumes values in a certain range (inside a window of capture). The width of such a window depends on the relative migration and circularization rates that are determined by the disk parameters. The window is wide if the relative migration rate is slow, and it becomes narrower as the relative migration rate increases. The window will be closed if the migration rate is sufficiently high, and the capture will not take place. We illustrate also how the 9:7 resonance window of capture is affected by the initial eccentricities and the initial orbits of the planets.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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