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arXiv 2005.01440astro-ph.EPastro-ph.SR
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由K2探测的围绕超冷矮星运行的系外行星的出现率

The occurrence rate of exoplanets orbiting ultracool dwarfs as probed by K2

Marko Sestovic, Brice-Olivier Demory

摘要:

随着TRAPPIST-1周围行星系的发现,人们对超冷矮星作为潜在行星宿主的兴趣激增。超冷矮星周围的行星系代表了我们用JWST表征温带岩石行星大气的最佳机会。然而,TRAPPIST-1仍然是同类系统中唯一已知的系统,超冷矮星周围行星的出现率仍然受到很大的限制。我们试图对NASA K2任务观察到的超冷矮星进行完整的凌日搜索,以限制这些恒星周围行星的出现率。我们对K2观测到的超冷矮星样本进行了滤波和去噪处理,对它们的光谱能量分布进行了拟合,并使用了来自Gaia的滤波器。我们建立了一个自动管道来执行测光,光变曲线的趋势,并寻找过境。使用我们的管道的广泛的注入回收测试,我们计算我们的搜索的检测灵敏度,从而我们的样本的完整性。我们推断行星发生率的层次贝叶斯模型(HBM)来处理不确定的行星参数。随着发生率参数化的逐步功能,我们展示了一种方便的方法,直接边缘化我们的HBM(行星参数)的第二个层次。我们的方法是普遍适用的,可以大大加快推理与较大的目录检测到的行星。我们在702颗超冷矮星的样本中检测到一颗行星:一颗先前验证过的迷你海王星。因此,我们推断在1 - 20天的轨道周期内,小海王星(2 - 4 Re)的出现率为η = 0.20+0.16-0.11。对于1 - 20天内的超级地球(1 - 2 Re)和冰/气巨星(4 - 6 Re),我们分别给出了η < 1.14和η < 0.29的95%可信区间。如果类似TRAPPIST-1的系统无处不在,我们将有96%的机会找到至少一个。

英文摘要:

With the discovery of a planetary system around TRAPPIST-1, there has been a surge of interest in ultracool dwarfs as potential planet hosts. Planetary systems around ultracool dwarfs represent our best chance of characterising temperate rocky-planet atmospheres with JWST. However, TRAPPIST-1 remains the only known system of its kind, and the occurrence rate of planets around ultracool dwarfs is still poorly constrained. We seek to perform a complete transit search on the ultracool dwarfs observed by NASA's K2 mission to constrain the occurrence rate of planets around these stars. We filter and characterise the sample of ultracool dwarfs observed by K2, by fitting their spectral energy distributions and using parallaxes from Gaia. We build an automatic pipeline to perform photometry, detrend the lightcurves, and search for transits. Using extensive injection-recovery tests of our pipeline, we compute the detection sensitivity of our search, and thus the completeness of our sample. We infer the planetary occurrence rates within a hierarchical Bayesian model (HBM) to treat uncertain planetary parameters. With the occurrence rate parametrised by a step-wise function, we show a convenient way to directly marginalise over the second level of our HBM (the planet parameters). Our method is applicable generally and can greatly speed up inference with larger catalogues of detected planets. We detect one planet in our sample of 702 ultracool dwarfs: a previously-validated mini-Neptune. We thus infer a mini-Neptune (2 - 4Re) occurrence rate of η = 0.20+0.16-0.11 within orbital periods of 1 - 20 days. For super-Earths (1 - 2Re) and ice/gas giants (4 - 6Re) within 1 - 20 days, we place 95% credible intervals of η < 1.14 and η < 0.29, respectively. If TRAPPIST-1-like systems were ubiquitous, we would have had a 96% chance of finding at least one.

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