While Joseph R. Genius, PhD is off on a lecture tour, Uri F Kidding publishes in an obscure journal the Mushy Charging Theory. After determining that if any energy absorbed below the "surface" of Mushy that is not completely released prior to the next Mushy noon, that Mushy will continue to internally warm, the good Dr. Kidding used a "Battery" analogy.
A battery being charge from a full discharge state has an internal resistance of nearly zero. At full charge with a constant electromotive force, the internal resistance of the battery is nearly infinite. The battery charges at a rate proportional to the applied electromotive force time exponential of the capacity of the battery and the resistance of the battery.
The electromotive force (EMF), the Sun, provides a peak energy of 1361 Wm-2 in a sinusoidal pattern with a period of ~24 hours. With a peak value of 1361 Wm-2, the RMS value of the solar force would be 1361/(2)^0.5 or 962Wm-2. Since Mushy is a sphere, the resistance to energy loss would decrease toward the poles. If that resistance were regular, the effective EMF would be ~ 578Wm-2 or the average of distribution across the peak longitudinal band excluding albedo.
Since the albedo of Mushy is not 1, then some energy will penetrate the "surface" and the RMS value of that energy would be the "charging" current for the Mushy battery. The final value at and "Surface" would depend on the initial "trickle charge rate" and the cumulative charge capacity of each layer or cell in the Mushy battery.
Mushy would absorb energy and the true "surface" energy would be greater than the average EMF applied to the surface by a factor of 1.414. In other words, if 240 Wm-2 is the simple average applied, 339 Wm-2 would be the full charge value. "Of course, the final "surface" energy would depend on the charging rate and capacities of each layer, which requires further funding for research." Uri F(n) Kidding