Calculated physical properties of planets in relation to composition and gravitational layering

Using solar elemental abundances and equations of state for cold materials, nonrotating hydrostatic models of geochemically likely planets are calculated for a wide range in mass. The model planets are divided into three classes depending on the ease with which their components condense. The radius, central pressure, and moment of inertia are determined at several stages of gravitational separation. Solutions of the hydrostatic equations for compressible materials are nonlinear, and variations in degree of gravitational layering are found to have a large effect on some parameters of the models, whereas others remain nearly unchanged. Solutions are also obtained for single component and cold hydrogen-helium bodies. The homogeneous models agree closely with an analytic transformation based on the relation between the equations of state. Some nonrotating models were found to approximate Jupiter. For these, rotational models were also computed. The energy available by gravitational separation of components in these models is greater than the observed nonthermal radiation of Jupiter.