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arXiv 1207.4477astro-ph.EP
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viewing angle对系外行星质量分布的影响

The effects of viewing angle on the mass distribution of exoplanets

S. Lopez, J. S. Jenkins

摘要:

我们提出了一种数学方法来统计解耦的未知倾角的质量分布的系外行星,已发现使用径向速度技术的影响。该方法是基于两个随机变量的乘积的分布。因此,如果假设一个真实的质量分布,该方法可以恢复观察到的分布。我们比较我们的预测与现有的径向速度数据。假设真实的质量函数由幂律描述,我们恢复的最小质量函数证明了在质量两端观察到的分布的良好拟合。特别是,它为观察到的低质量下降提供了另一种解释,通常解释为样本不完整。此外,在低质量端附近观察到的峰值在预测分布中自然出现,这是由于在真实分布中施加了低质量截止值。如果小于0.02MJ的小质量仓是完整的,那么这个区域的质量分布会受到小部分实际上是质量更大的伴星的低倾斜闯入者的严重影响。最后,我们还提出了证据表明,系外行星的质量分布变化形式向低质量,这意味着一个单一的幂律可能不足以描述样本人口。

英文摘要:

We present a mathematical method to statistically decouple the effects of unknown inclination angles on the mass distribution of exoplanets that have been discovered using radial-velocity techniques. The method is based on the distribution of the product of two random variables. Thus, if one assumes a true mass distribution, the method makes it possible to recover the observed distribution. We compare our prediction with available radial-velocity data. Assuming the true mass function is described by a power-law, the minimum mass function that we recover proves a good fit to the observed distribution at both mass ends. In particular, it provides an alternative explanation for the observed low-mass decline, usually explained as sample incompleteness. In addition, the peak observed near the the low-mass end arises naturally in the predicted distribution as a consequence of imposing a low-mass cutoff in the true-distribution. If the low-mass bins below 0.02 M_J are complete, then the mass distribution in this regime is heavily affected by the small fraction of lowly inclined interlopers that are actually more massive companions. Finally, we also present evidence that the exoplanet mass distribution changes form towards low-mass, implying that a single power law may not adequately describe the sample population.

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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