论文标题
贝叶斯蒙特卡洛对行星系统晚期轨道稳定性的评估
A Bayesian Monte Carlo assessment of orbital stability in the late stages of planetary system formation
论文作者
论文摘要
行星系统的最终轨道构型是由其早期的星光盘环境和后期重力相互作用所塑造的。由于观察性偏见复杂的行星系统的多样性,评估每个因素的相对重要性并不直接。我们的目标是了解当行星积聚和行星迁移停止和世俗的引力效应接管时,行星系统可能会发生变化。我们的方法从基于其轨道结构的行星系统进行新的分类开始,并使用近似贝叶斯计算方法验证。我们将此方案应用于观察到的行星系统,并将其应用于$ \ sim 400 $合成系统,托管$ \ sim 5000 $行星,从蒙特卡洛星球人口模型合成。我们的分类方案根据观察到的和合成的系统,根据其行星质量和半肌轴的行星质量和半肌轴的稳健分类。然后,我们估计在动态演化之前和之后,每个合成系统的轨道分布密度最多1 Myr,带有引力+碰撞$ n $ body代码。使用kullback-leibler差异来统计测量轨道配置的变化,我们发现合成行星系统的$ \ lyssim 10 \%$ $。我们还发现,这一小部分属于一类系统,它们的质量中心非常接近他们的宿主星。尽管行星系统的轨道配置的变化可能不是很常见,但它们更有可能发生在具有近距离行星,具有F-型和G-Type宿主星球和出色金属的系统中,而恒星金属性$ \ Mathrm {[Fe/H]}> 0.2 $ 0.2 $。
The final orbital configuration of a planetary system is shaped by both its early star-disk environment and late-stage gravitational interactions. Assessing the relative importance of each of these factors is not straightforward due to the observed diversity of planetary systems compounded by observational biases. Our goal is to understand how a planetary system may change when planetesimal accretion and planet migrations stop and secular gravitational effects take over. Our approach starts with a novel classification of planetary systems based on their orbital architecture, validated using Approximate Bayesian Computation methods. We apply this scheme to observed planetary systems and also to $\sim 400$ synthetic systems hosting $\sim 5000$ planets, synthesized from a Monte Carlo planet population model. Our classification scheme robustly yields four system classes according to their planet masses and semi-major axes, for both observed and synthetic systems. We then estimate the orbital distribution density of each of the synthetic systems before and after dynamically evolving them for up to 1 Myr with a gravitational+collisional $N$-body code. Using the Kullback-Leibler divergence to statistically measure orbital configuration changes, we find that $\lesssim 10 \%$ of synthetic planetary systems experience such changes. We also find that this fraction belongs to a class of systems for which their center of mass is very close to their host star. Although changes in the orbital configuration of planetary systems may not very common, they are more likely to happen in systems with close-in, massive planets, with F- and G-type host-stars and stellar metallicities $\mathrm{[Fe/H]} > 0.2$.