Role of convection in the moon.

Conduction solutions of the problem of the moon's thermal history can be unstable to solid state convection. To examine the role of solid convection, the stability of models in which the initial distribution of radioactive heat sources is homogeneous and the initial temperature profile is due to accretional heating is analyzed in detail. Growth rates of instabilities are compared with the appropriate conduction times in order to determine the effective viscosities for which solid convection is a dominant process. It is found that instability growth may not have been rapid enough to prevent the extensive partial melting predicted by conduction theory, but convection after resolidification is likely to have occurred, and thus the moon would have cooled faster than it would if it were purely conducting.