arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 0902.1640astro-ph.EP
收藏

对100个地球质量的富硅酸盐和富冰行星的质量-半径关系的精确性的研究

A Study of the Accuracy of Mass-Radius Relationships for Silicate-Rich and Ice-Rich Planets up to 100 Earth Masses

O. Grasset, J. Schneider, C. Sotin

摘要:

一个质量半径的关系,提出了固体行星和固体核心范围从1到100个地球质量的行星。它依赖于这样的假设,即固体球体由铁和硅酸盐组成,周围加入了可变量的水。M-R定律的建立是假设行星的组成与硅酸盐和铁的平均组成相似,而硅酸盐和铁的平均组成是从94颗拥有系外行星的恒星的主要元素比率中获得的。除了地球上有大量的数据可供使用之外,硅酸盐地幔和金属核的组成无法被限制。同样,对热分布也知之甚少。在这项工作中,对半径估计的组成参数和热分布的影响进行了量化。它将被证明,有关的成分和温度的不确定性是第二阶的水量的影响相比。超级地球家族包括四类行星:富铁、富硅酸盐、富水或有厚厚的大气层。对于一个给定的质量,行星半径从富铁行星到富大气行星显著增加。即使可能有一些重叠,M-R测量也足够精确,可以确定发现了一颗类地行星。这种估计取决于几个假设,包括i)内部结构模型的准确性和ii)质量和半径测量的准确性。它表明,如果质量和半径是完全已知的,水的量的标准偏差约为4.5%。该值随半径不确定性迅速增加,但并不强烈依赖于质量不确定性。

英文摘要:

A mass-radius relationship is proposed for solid planets and solid cores ranging from 1 to 100 Earth-mass planets. It relies on the assumption that solid spheres are composed of iron and silicates, around which a variable amount of water is added. The M-R law has been set up assuming that the planetary composition is similar to the averaged composition for silicates and iron obtained from the major elements ratio of 94 stars hosting exoplanets. Except on Earth for which a tremendous amount of data is available, the composition of silicate mantles and metallic cores cannot be constrained. Similarly, thermal profiles are poorly known. In this work, the effect of compositional parameters and thermal profiles on radii estimates is quantified. It will be demonstrated that uncertainties related to composition and temperature are of second order compared to the effect of the water amount. The Super-Earths family includes four classes of planets: iron-rich, silicate-rich, water-rich, or with a thick atmosphere. For a given mass, the planetary radius increases significantly from the ironrich to the atmospheric-rich planet. Even if some overlaps are likely, M-R measurements could be accurate enough to ascertain the discovery of an earth-like planet .The present work describes how the amount of water can be assessed from M-R measurements. Such an estimate depends on several assumptions including i) the accuracy of the internal structure model and ii) the accuracy of mass and radius measurements. It is shown that if the mass and the radius are perfectly known, the standard deviation on the amount of water is about 4.5 %. This value increases rapidly with the radius uncertainty but does not strongly depend on the mass uncertainty.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑