Mass–Radius Relationships and Contraction of Condensed Planets by Cooling or Despinning - ENS de Lyon - École normale supérieure de Lyon
Article Dans Une Revue The Astrophysical Journal Année : 2024

Mass–Radius Relationships and Contraction of Condensed Planets by Cooling or Despinning

Yanick Ricard

Résumé

Abstract Condensed planets contract or expand as their temperature changes. With the exception of the effect of phase changes, this phenomenon is generally interpreted as being solely related to the thermal expansivity of the planet’s components. However, changes in density affect pressure and gravity and, consequently, the planet’s compressibility. A planet’s radius is also linked to its rate of rotation. Here again, changes in pressure, gravity, and compressibility are coupled. In this article we clarify how the radius of a condensed planet changes with temperature and rotation, using a simple and rigorous thermodynamic model. We consider condensed materials to obey a simple equation of state which generalizes a polytopic EoS as temperature varies. Using this equation, we build simple models of condensed planet’s interiors including exoplanets, derive their mass–radius relationships, and study the dependence of their radius on temperature and rotation rate. We show that it depends crucially on the value of ρ s gR / K s ( ρ s being surface density, g gravity, R radius, K s surface incompressibility). This nondimensional number is also the ratio of the dissipation number which appears in compressible convection and the Gruneïsen mineralogic parameter. While the radius of small planets depends on temperature, this is not the case for large planets with large dissipation numbers; Earth and a super-Earth like CoRoT-7b are in something of an intermediate state, with a moderately temperature-dependent radius. Similarly, while the radius of these two planets is a function of their rotation rates, this is not the case for smaller or larger planets.
Fichier principal
Vignette du fichier
Ricard_2024_ApJ_967_163.pdf (1.05 Mo) Télécharger le fichier
Origine Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

hal-04811320 , version 1 (30-11-2024)

Licence

Identifiants

Citer

Yanick Ricard, Frédéric Chambat. Mass–Radius Relationships and Contraction of Condensed Planets by Cooling or Despinning. The Astrophysical Journal, 2024, 967 (2), pp.163. ⟨10.3847/1538-4357/ad4113⟩. ⟨hal-04811320⟩
0 Consultations
0 Téléchargements

Altmetric

Partager

More