Predictions on the core mass of Jupiter and of giant planets in general
  More than 80 giant planets are known by mass and radius. Their interior structure in terms of core mass, number of layers, and composition however is still poorly known. An overview is presented about the core mass Mcore and envelope mass of metals MZ in Jupiter as predicted by various equations of state. It is argued that the uncertainty about the true H/He EOS in a pressure regime where the gravitational moments J2 and J4 are most sensitive, i.e. between 0.5 and 4 Mbar, is in part responsible for the broad range Mcore=0-18 Mearth, MZ=0-38 Mearth, and Mcore+MZ=14-38 Mearth currently offered for Jupiter. We then compare the Jupiter models obtained when we only match J2 with the range of solutions for the exoplanet GJ436b, when we match an assumed tidal Love number k2 value. 
Nadine Nettelmann
astro-ph.EP