Limits on the abundances of heavy elements in the four jovian planets in our Solar System. For each planet, the point on the left represents the total amount of high-Z material, whereas the (lower) point on the right shows the amount of heavy elements segregated into the planet's core. For Jupiter and Saturn, the thick lines represent solutions with additional constraints obtained from evolution models. Note the high level of uncertainty, especially regarding the core masses of Jupiter and Saturn. Models of Jupiter with small cores (i.e., less than 2 Mearth) require significant enrichments in heavy elements (i.e., more than 20 Mearth). (From Wuchterl, Guillot & Lissauer 2000; PPIV)