标题： 旋转对两层岩石行星和水世界合成质量-半径关系的影响 显示英文标题

标题： Impact of rotation on synthetic mass-radius relationships of two-layer rocky planets and water worlds

摘要： 我们分析了旋转对单层和双层行星质量-半径关系的影响，这些行星的核和包层由铁、钙钛矿和水等纯材料在固态下组成。 数值调查使用了更新后的带有修改多态状态方程（EOS）的DROP代码，并研究了扁率参数$f$直到$0.2$。 在质量范围$0.1 M_\oplus < M < 10 M_\oplus$内，我们发现旋转系统地将成分曲线向更大的半径和/或更小的质量方向移动。 相对于球形情况，赤道半径$R_{eq}$对于单层行星增加了约$0.36f$，对于双层行星增加了$0.30f$到$0.55f$（取决于核心大小比例$q$和行星质量$M$）。旋转是推导行星结构的另一个混淆因素，因为半径变化与i）超级地球当前观测不确定性以及ii）EOS变化处于同一数量级。我们建立了一个形式为$R_{eq}(M,f,q)$的多变量拟合，这使得能够快速表征岩石行星和海洋世界的核大小和自转状态。我们讨论了观测数据必须在图中如何移动，以自洽地考虑可能的行星自转，这取决于凌日几何形状（圆形/扁球形）。讨论了对最近表征的超级地球候选者 LHS1140b 的简单应用。 显示英文摘要

摘要： We have analyzed the effects of rotation on mass-radius relationships for single-layer and two-layer planets having a core and an envelope made of pure materials among iron, perovskite and water in solid phase. The numerical surveys use the DROP code updated with a modified polytropic equation-of-state (EOS) and investigate flattening parameters $f$ up to $0.2$. In the mass range $0.1 M_\oplus < M < 10 M_\oplus$, we find that rotation systematically shifts the curves of composition towards larger radii and/or smaller masses. Relative to the spherical case, the equatorial radius $R_{eq}$ is increased by about $0.36f$ for single-layer planets, and by $0.30f$ to $0.55f$ for two-layer planets (depending on the core size fraction $q$ and planet mass $M$). Rotation is an additional source of confusion in deriving planetary structures, as the radius alterations are of the same order as i) current observational uncertainties for super-Earths, and ii) EOS variations. We have established a multivariate fit of the form $R_{eq}(M,f,q)$, which enables a fast characterization of the core size and rotational state of rocky planets and ocean worlds. We discuss how the observational data must be shifted in the diagrams to self-consistently account for an eventual planet spin, depending on the geometry of the transit (circular/oblate). A simple application to the recently characterized super-Earth candidate LHS1140b is discussed.