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arXiv 1104.2663astro-ph.EP
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气态巨行星周围不规则卫星的碰撞捕获率和太阳星云的最小质量

On collisional capture rates of irregular satellites around the gas-giant planets and the minimum mass of the solar nebula

F. Elliott Koch, Bradley M. S. Hansen

摘要:

我们调查的可能性,非弹性碰撞的星子内的类木行星的希尔球可以解释的存在和轨道观察到的不规则卫星。通过这种机制捕获卫星不仅高度依赖于原行星盘的质量,而且还依赖于星子尺寸分布的形状。我们进行了2000次模拟的综合时间间隔$\sim 2$ Myr,并发现,鉴于目前接受的最小质量的太阳星云和星子数密度的值的基础上\citet{Nesvorny2003}和\citet{Charnoz2003}大小分布$dN \sim D^{-3.5} dD$,不同的木星行星的碰撞率范围之间的$\sim 0.6$和$\gtrsim 170 \, \Myr^{-1}$的对象的半径,$1 \, \km \le r \le 10 \, \km$。此外,我们发现,这些碰撞消除足够的轨道能量,以产生一个束缚轨道的概率是$\lesssim 10^{-5}$,并有很小的依赖于微行星的相对大小。在这些碰撞中,两个物体之间的碰撞能量是$\gtrsim 10^3$乘以半径为$\sim 100$ km的物体的引力结合能。我们发现,通过碰撞捕获不规则的卫星之间的未绑定的对象只能占$\sim 0.1%$的观察人口,因此这不能是唯一的方法产生不规则的卫星。

英文摘要:

We investigated the probability that an inelastic collision of planetesimals within the Hill sphere of the Jovian planets could explain the presence and orbits of observed irregular satellites. Capture of satellites via this mechanism is highly dependent on not only the mass of the protoplanetary disk, but also the shape of the planetesimal size distribution. We performed 2000 simulations for integrated time intervals $\sim 2$ Myr and found that, given the currently accepted value for the minimum mass solar nebula and planetesimal number density based upon the \citet{Nesvorny2003} and \citet{Charnoz2003} size distribution $dN \sim D^{-3.5} dD$, the collision rates for the different Jovian planets range between $\sim 0.6$ and $\gtrsim 170 \, \Myr^{-1}$ for objects with radii, $1 \, \km \le r \le 10 \, \km$. Additionally, we found that the probability that these collisions remove enough orbital energy to yield a bound orbit was $\lesssim 10^{-5}$ and had very little dependence on the relative size of the planetesimals. Of these collisions, the collision energy between two objects was $\gtrsim 10^3$ times the gravitational binding energy for objects with radii $\sim 100$ km. We find that, capturing irregular satellites via collisions between unbound objects can only account for $\sim 0.1%$ of the observed population, hence can this not be the sole method of producing irregular satellites.

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