arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2006.00732astro-ph.EP
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通过成坑撞击的逃逸和吸积:高速喷出物标度关系的公式化

Escape and accretion by cratering impacts: Formulation of scaling relations for high-speed ejecta

Ryuki Hyodo, Hidenori Genda

摘要:

在行星形成和演化过程中,众多的小天体不可避免地会对大型行星天体造成撞击坑。由于这些小的撞击,一部分目标材料从大物体的重力中逃逸,一部分撞击物材料附着在目标表面上,这取决于撞击速度和角度。在这里,我们研究的高速喷出物的质量,逃离目标的重力时,材料强度被忽略的弹坑的影响。我们使用光滑粒子流体动力学方法对平面岩石靶进行了大量的撞击坑模拟。我们表明,从我们的数值模拟得到的目标材料的逃逸质量符合预测的标度律下的点源假设时,$v_{\rm imp} \gtrsim 12 v_{\rm esc}$,其中$v_{\rm imp}$是碰撞速度和$v_{\rm esc}$是逃逸速度的目标。然而,我们发现,点源标度律高估了逃逸质量的$\sim 70$的一个因素,这取决于影响的角度,当$v_{\rm imp} \lesssim 12 v_{\rm esc}$。利用数值模拟得到的数据,我们推导出一个新的标度律的逃逸质量的目标材料$v_{\rm imp} \lesssim 12 v_{\rm esc}$。我们还推导出一个比例定律,预测吸积质量的撞击物材料到目标表面上的撞击坑的影响,通过数值计算的逃逸质量的撞击物材料。我们新推导的比例律是有用的预测逃逸质量的目标材料和吸积质量的撞击物材料的各种撞击坑的影响,将发生在大行星体在行星形成。

英文摘要:

Numerous small bodies inevitably lead to cratering impacts on large planetary bodies during planet formation and evolution. As a consequence of these small impacts, a fraction of the target material escapes from the gravity of the large body, and a fraction of the impactor material accretes onto the target surface, depending on the impact velocities and angles. Here, we study the mass of the high-speed ejecta that escapes from the target gravity by cratering impacts when material strength is neglected. We perform a large number of cratering impact simulations onto a planar rocky target using the smoothed particle hydrodynamics method. We show that the escape mass of the target material obtained from our numerical simulations agrees with the prediction of a scaling law under a point-source assumption when $v_{\rm imp} \gtrsim 12 v_{\rm esc}$, where $v_{\rm imp}$ is the impact velocity and $v_{\rm esc}$ is the escape velocity of the target. However, we find that the point-source scaling law overestimates the escape mass up to a factor of $\sim 70$, depending on the impact angle, when $v_{\rm imp} \lesssim 12 v_{\rm esc}$. Using data obtained from numerical simulations, we derive a new scaling law for the escape mass of the target material for $v_{\rm imp} \lesssim 12 v_{\rm esc}$. We also derive a scaling law that predicts the accretion mass of the impactor material onto the target surface upon cratering impacts by numerically evaluating the escape mass of the impactor material. Our newly derived scaling laws are useful for predicting the escape mass of the target material and the accretion mass of the impactor material for a variety of cratering impacts that would occur on large planetary bodies during planet formation.

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