Using our K2 Campaign 5 fully automated planet detection data set (43 planets), which has corresponding measures of completeness and reliability, we infer an underlying planet population model for the FGK dwarfs sample (9,257 stars). Implementing a broken power-law for both the period and radius distribution, we find an overall planet occurrence of $1.00^{+1.07}_{-0.51}$ planets per star within a period range of 0.5-38 days. Making similar cuts and running a comparable analysis on the Kepler sample (2,318 planets; 94,222 stars), we find an overall occurrence of $1.10\pm0.05$ planets per star. Since the Campaign 5 field is nearly 120 angular degrees away from the Kepler field, this occurrence similarity offers evidence that the Kepler sample may provide a good baseline for Galactic inferences. Furthermore, the Kepler stellar sample is metal-rich compared to the K2 Campaign 5 sample, thus a finding of occurrence parity may reduce the role of metallicity in planet formation. However, a weak ($1.5\sigma$) difference, in agreement with metal-driven formation, is found when assuming the Kepler model power-laws for the K2 Campaign 5 sample and optimizing only the planet occurrence factor. This weak trend indicates further investigation of metallicity dependent occurrence is warranted once a larger sample of uniformly vetted K2 planet candidates are made available.

中文翻译：

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缩放 K2。三、战役 5 和开普勒的 FGK 样本中的可比行星发生率

使用我们的 K2 Campaign 5 全自动行星检测数据集（43 颗行星），该数据集具有相应的完整性和可靠性度量，我们推断出 FGK 矮星样本（9,257 颗恒星）的潜在行星种群模型。对周期和半径分布实施破碎的幂律，我们发现在 0.5-38 天的周期范围内，每颗恒星的整体行星出现 $1.00^{+1.07}_{-0.51}$ 颗行星。对开普勒样本（2,318 颗行星；94,222 颗恒星）进行类似的切割并进行比较分析，我们发现每颗恒星的总发生率为 $1.10\pm0.05$。由于运动 5 场距开普勒场近 120 度角，这种出现的相似性提供了开普勒样本可能为银河系推断提供良好基线的证据。此外，与 K2 运动 5 样本相比，开普勒恒星样本富含金属，因此发现平价可能会降低金属丰度在行星形成中的作用。然而，在假设 K2 战役 5 样本的开普勒模型幂律并仅优化行星出现因子时，发现了一个微弱的（$1.5\sigma$）差异，与金属驱动的形成一致。这种微弱的趋势表明，一旦有更大的经过统一审查的 K2 行星候选样本可用，就需要对金属丰度相关事件进行进一步调查。在为 K2 战役 5 样本假设开普勒模型幂律并仅优化行星出现因子时发现。这种微弱的趋势表明，一旦有更大的经过统一审查的 K2 行星候选样本可用，就需要对金属丰度相关事件进行进一步调查。在为 K2 战役 5 样本假设开普勒模型幂律并仅优化行星出现因子时发现。这种微弱的趋势表明，一旦有更大的经过统一审查的 K2 行星候选样本可用，就需要对金属丰度相关事件进行进一步调查。