arXiv 1702.073522017-02-23astro-ph.EP

一颗偏心行星对小行星的临时捕获

Temporary Capture of Asteroids by an Eccentric Planet

Arika Higuchi, Shigeru Ida

备注：: Accepted for publication in AJ, 14 pages and 6 figures
DOI：: 10.3847/1538-3881/aa5daa

摘要：

通过分析和数值计算，我们研究了圆轨道或偏心轨道上的行星暂时捕获偏心轨道上的小行星的概率。我们发现，在圆形轨道的极限，捕获概率是$\sim 0.1\%$遇到行星的希尔球，独立的行星质量和半长轴。一般来说，当行星的偏心率（$e_{\rm p}$）增加时，临时捕获变得更加困难。我们发现，捕获概率几乎是独立的$e_{\rm p}$，直到一个临界值（$e_{\rm p}^{\rm c}$），这是由$\simeq$ 5倍的希尔半径缩放的行星的半长轴。对于$e_{\rm p} > e_{\rm p}^{\rm c}$，概率大约与$e_{\rm p}^{-1}$成比例地降低。目前火星的轨道偏心率比$e_{\rm p}^{\rm c}$大好几倍。然而，由于火星离心率的长期变化范围与$e_{\rm p}^{\rm c}$重叠，因此不排除过去火星捕获次要天体的可能性。

英文摘要：

We have investigated the probability of temporary capture of asteroids in eccentric orbits by a planet in a circular or an eccentric orbit through analytical and numerical calculations. We found that in the limit of the circular orbit, the capture probability is $\sim 0.1\%$ of encounters to the planet's Hill sphere, independent of planetary mass and semimajor axis. In general, the temporary capture becomes more difficult as the planet's eccentricity ($e_{\rm p}$) increases. We found that the capture probability is almost independent of $e_{\rm p}$ until a critical value ($e_{\rm p}^{\rm c}$) that is given by $\simeq$ 5 times the Hill radius scaled by the planet's semimajor axis. For $e_{\rm p} > e_{\rm p}^{\rm c}$, the probability decreases approximately in proportion to $e_{\rm p}^{-1}$. The current orbital eccentricity of Mars is several times larger than $e_{\rm p}^{\rm c}$. However, since the range of secular change in Martian eccentricity overlaps $e_{\rm p}^{\rm c}$, the capture of minor bodies by the past Mars is not ruled out.

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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