论文标题
自然与养育:评估行星轨道特性与恒星年龄之间明显相关性的贝叶斯框架
Nature vs. nurture: a Bayesian framework for assessing apparent correlations between planetary orbital properties and stellar ages
论文作者
论文摘要
许多系外行星具有与我们自己的太阳系中看到的轨道特性完全不同的轨道特性,包括锁定在轨道上的轨道共振和行星上的行星,这些轨道上的轨道上是椭圆形或与宿主恒星旋转轴相倾斜的轨道。辩论系统体系结构的多种多样主要是由于形成条件(性质)的差异还是由于随着时间的推移(培育)的进化而造成的。识别包括恒星年龄在内的行星和恒星特性之间的趋势,可以帮助区分这些竞争理论,并就行星的形成和发展方式提供见解。但是,确定行星特性和恒星年龄之间观察到的趋势是由系统年龄驱动的 - 指出随着时间的推移而成为重要因素,或者年龄可能与年龄相关的其他参数,例如恒星质量或恒星温度。选择偏见,少量统计数据,恒星年龄的不确定性和轨道进化时尺度通常比观察到的年龄范围短得多的可能性,这种情况使情况更加复杂。在这里,我们开发了一个贝叶斯统计框架,以评估这种观察到的相关性的鲁棒性,并确定它们是否确实是由于进化过程,更有可能反映不同的形成场景,或者仅仅是偶然的。我们将此框架应用于恒星年龄与2:1轨道共振,旋转轨道错位和热木星轨道偏心率之间的趋势。我们只有在最终案例中才发现对培育假设的强烈支持。
Many exoplanets have orbital characteristics quite different from those seen in our own solar system, including planets locked in orbital resonances and planets on orbits that are elliptical or highly inclined from their host star's spin axis. It is debated whether the wide variety in system architecture is primarily due to differences in formation conditions (nature) or due to evolution over time (nurture). Identifying trends between planetary and stellar properties, including stellar age, can help distinguish between these competing theories and offer insights as to how planets form and evolve. However, it can be challenging to determine whether observed trends between planetary properties and stellar age are driven by the age of the system -- pointing to evolution over time being an important factor -- or other parameters to which the age may be related, such as stellar mass or stellar temperature. The situation is complicated further by the possibilities of selection biases, small number statistics, uncertainties in stellar age, and orbital evolution timescales that are typically much shorter than the range of observed ages. Here we develop a Bayesian statistical framework to assess the robustness of such observed correlations and to determine whether they are indeed due to evolutionary processes, are more likely to reflect different formation scenarios, or are merely coincidental. We apply this framework to reported trends between stellar age and 2:1 orbital resonances, spin-orbit misalignments, and hot Jupiters' orbital eccentricities. We find strong support for the nurture hypothesis only in the final case.