On the Instability of Small Planetary Cores (II)

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Abstract
The property that, for a spherically symmetrical planet in which the density is a function of the pressure, three states of equilibrium are possible in a certain range of values of the total mass, is shown to hold whenever the density is continuous up to a critical pressure P c , at which (owing to a change of phase) it rises discontinuously by a factor exceeding 3/2. The question of transitions between the states is briefly discussed.

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