Abstract
The thermal conduction problem for a homogeneous sphere illuminated by a parallel beam of light is solved in terms of Fourier-Bessel expansions; and the resulting nonsymmetric deformation due to thermal expansion is established on the assumption that the (self-gravitating) sphere behaves like an elastic solid. The moments of inertia about the principal axes of so deformed a body are then computed for a configuration approximating in physical properties the lunar globe as deformed by secular effects of insulation; and it is shown that the ratio of the differences of the momenta ( C − A)/ B which can arise from this cause is much too small to account for its value deduced from the librations.
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