Inferring Mimas' spatial distribution of tidal heating from its long-wavelength topography

In new work (Gyalay et al., 2023), we infer the interior of Mimas from its
global shape (long-wavelength topography). To do so, we have to make
various assumptions on how the ice shell of Mimas operates. This includes
the temperature at the base of the ice shell, the thickness of the ice
shell, what mode of isostasy it operates under (equal-mass vs.
equal-pressure and Airy vs. Pratt), whether tidal tidal heating is due to
eccentricity vs. obliquity, and how porous the region of the ice shell
with a temperature <140 K may be. Further, as it has not yet been
measured for Mimas, we must make an assumption on its moment of inertia.
We vary through these assumptions and calculate how well an inferred heat
distribution matches with a tidal heating distribution, among other
physical self-consistency checks. In the associated paper, we analyze the
dataset we produced to make conclusions on Mimas' interior structure
and orbital dynamic history.