Diversity of terrestrial planets: a link to the chemical makeup of their host stars

crossref(2022)

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摘要
<p>With the swift advance in exoplanet sciences it is now possible to characterize not only the fundamental parameters (mass and radius) of planets but also their interior structure and bulk composition. The former is known to influence on the habitability conditions of terrestrial planets, and the latter in itself is a key aspect to understand planet formation processes and the origin of their diversity.</p> <p>In order to accurately assess planetary internal composition, the derivation of the chemical abundances of the host stars is of extreme importance. In particualr, stellar abundances of Fe, Si, Mg are proposed as principal constraints to reduce degeneracy in exoplanet interior structure models under assumption of identical composition of these elements in the rocky planets and their host stars.</p> <p>This regularly used assumption is based on our knowledge that stars and planets form from the same primordial gas and dust cloud. It is also supported by our Solar System observations for which we know that the composition of major rock forming elements (such as Mg, Si, and Fe) in the meteorites and telluric planets (with the exception of Mercury) is similar to that of the Sun. However, direct observational evidence for the aforementioned assumption for exoplanets is absent.</p> <p>By using the largest possible sample of precisely characterized low-mass planets and their host stars, we show that the composition of the planet building blocks indeed correlates with the properties of the rocky planets (see Fig. 1). We also find that on average the iron-mass fraction of planets is higher than that of the primordial values, owing to the disk-chemistry and planet formation processes. Additionally, we show that super-Earths and super-Mercuries appear to be distinct populations with differing compositions, implying differences in their formation processes. We suggest that giant impact alone is not responsible for the high-densities of super-Mercuries.</p> <p>I propose an oral contribution to speak about these very recent results published in Scinece.</p> <p><img src="data:image/png;base64, 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" alt="" /></p> <p>F<strong>ig. 1 </strong>The iron-mass fraction of the planets inferred from the planets' mass and radius as a function of the iron-mass fraction of the protoplanetary disk, estimated from the host star abundances. Super-Mercuries (in brown) and super-Earths (in blue) appear as two distinct groups.</p>
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