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The bulk compositions of small planets ($R_p< 2 \mathrm{R}_\oplus$) are directly linked to their formation histories, making reliable compositional constraints imperative for testing models of planet formation and evolution. Because…

Earth and Planetary Astrophysics · Physics 2026-01-21 Joseph Schulze , Natalie Hinkel , Wendy Panero , Cayman Unterborn

This chapter reviews the most recent advancements on the topic of terrestrial and giant planet interiors, including Solar System and extrasolar objects. Starting from an observed mass-radius diagram for known planets in the Universe, we…

Earth and Planetary Astrophysics · Physics 2015-06-18 I. Baraffe , G. Chabrier , J. Fortney , C. Sotin

Mass and radius of planets transiting their host stars are provided by radial velocity and photometric observations. Structural models of solid exoplanet interiors are then constructed by using equations of state for the radial density…

Earth and Planetary Astrophysics · Physics 2012-11-15 F. Sohl , F. W. Wagner , H. Rauer

Modeling the interior of a rocky or water-rich exoplanet is a thermodynamic closure problem: every layer's density, temperature gradient, and phase must follow from an equation of state (EoS) that remains self-consistent across the…

Earth and Planetary Astrophysics · Physics 2026-05-06 Mara Attia , Tim Lichtenberg , Ema Jungová , Mariana Sastre

The prospects for finding transiting exoplanets in the range of a few to 20 Earth masses is growing rapidly with both ground-based and spaced-based efforts. We describe a publicly available computer code to compute and quantify the…

Astrophysics · Physics 2013-01-08 Li Zeng , Sara Seager

Mass and radius are two fundamental properties for characterising exoplanets, but only for a relatively small fraction of exoplanets are they both available. Mass is often derived from radial velocity measurements, while the radius is…

Earth and Planetary Astrophysics · Physics 2019-10-09 S. Ulmer-Moll , N. C. Santos , P. Figueira , J. Brinchmann , J. P. Faria

Static structure models, which map mass-radius constraints to bulk planet composition, are frequently used to categorise exoplanets due to their computational efficiency and the high-level insight they offer into planetary properties.…

Earth and Planetary Astrophysics · Physics 2026-04-20 Harrison Nicholls , Oliver Shorttle , Tim Lichtenberg , Flavia Pascal

Water (H$_{2}$O), in all forms, is an important constituent in planetary bodies, controlling habitability and influencing geological activity. Under conditions found in the interior of many planets, as the pressure increases, the H-bonds in…

For planets other than Earth, interpretation of the composition and structure depends largely on comparing the mass and radius with the composition expected given their distance from the parent star. The composition implies a mass-radius…

Satellite formation is a natural by-product of planet formation. With the discovery of nu- merous extrasolar planets, it is likely that moons of extrasolar planets (exomoons) will soon be discovered. Some of the most promising techniques…

Earth and Planetary Astrophysics · Physics 2017-01-10 Amy C. Barr

Equation of state (EOS) describes the thermodynamic properties of substances. It has important applications in many fields such as power mechanics, geophysics, astrophysics, and detonation physics. Currently, most EOSs have been constructed…

Statistical Mechanics · Physics 2021-07-15 Ti-Wei Xue , Zeng-Yuan Guo

We use new interior models of cold planets to investigate the mass-radius relationships of solid exoplanets, considering planets made primarily of iron, silicates, water, and carbon compounds. We find that the mass-radius relationships for…

Astrophysics · Physics 2009-11-13 S. Seager , M. Kuchner , C. Hier-Majumder , B. Militzer

The mass and distribution of metals in the interiors of exoplanets are essential for constraining their formation and evolution processes. Nevertheless, with only masses and radii measured, the determination of exoplanet interior structures…

Earth and Planetary Astrophysics · Physics 2023-06-28 Sanne Bloot , Yamila Miguel , Michaël Bazot , Saburo Howard

As a first step toward a multi-phase equation of state for dense water, we develop a temperature-dependent equation of state for dense water covering the liquid and plasma regimes and extending to the super-ionic and gas regimes. This…

Earth and Planetary Astrophysics · Physics 2021-08-31 S. Mazevet , A. Licari , G. Chabrier , A. Y. Potekhin

One of the primary mechanisms for inferring the dynamical history of planets in our Solar System and in exoplanetary systems is through observation of elemental ratios (i.e. C/O). The ability to effectively use these observations relies…

The radius of a planet is a fundamental parameter that probes its composition and habitability. Precise radius measurements are typically derived from the fraction of starlight blocked when a planet transits its host star. The wide-field…

Earth and Planetary Astrophysics · Physics 2025-11-12 Te Han , Paul Robertson , Timothy D. Brandt , Shubham Kanodia , Caleb Cañas , Avi Shporer , George Ricker , Corey Beard

The growing number of exoplanet discoveries and advances in machine learning techniques have opened new avenues for exploring and understanding the characteristics of worlds beyond our Solar System. In this study, we employ efficient…

Earth and Planetary Astrophysics · Physics 2023-08-29 Mahdiyar Mousavi-Sadr , Davood M. Jassur , Ghassem Gozaliasl

Using density functional molecular dynamics simulations, we determine the equation of state for hydrogen-helium mixtures spanning density-temperature conditions typical of giant planet interiors, ~0.2-9 g/cc and 1000-80000 K for a typical…

Earth and Planetary Astrophysics · Physics 2015-06-15 B. Militzer , W. B. Hubbard

Revealing the internal composition and structure of giant planets is fundamental for understanding planetary formation. However, the bulk composition can only be inferred through interior models. As a result, advancements in modelling…

Earth and Planetary Astrophysics · Physics 2025-01-08 Saburo Howard , Ravit Helled , Simon Müller

We review various theoretical approaches for the equation of state (EoS) of dense matter, relevant for the description of core-collapse supernovae, compact stars and compact star mergers. The emphasis is put on models that are applicable to…

High Energy Astrophysical Phenomena · Physics 2017-04-05 M. Oertel , M. Hempel , T. Klähn , S. Typel
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