Stability of polar frosts in spherical bowl-shaped craters on the moon, Mercury, and Mars

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Frost, Lunar Craters, Mars Craters, Mercury Surface, Planetary Craters, Solidified Gases, Astronomical Models, Carbon Dioxide, Lambert Surface, Polar Regions, Sublimation, Surface Roughness

Scientific paper

A model of spherical bowl-shaped craters is described and applied to the moon, Mercury, and Mars. The maximum temperature of permanently shadowed areas are calculated using estimates of the depth/diameter ratios of typical lunar bowl-shaped craters and assuming a saturated surface in which the craters are completely overlapping. For Mars, two cases are considered: water frost in radiative equilibrium and subliming CO2 frost in vapor equilibrium. Energy budgets and temperatures are used to determine whether a craterlike depression loses mass faster or slower than a flat horizontal surface. This reveals qualitatively whether the frost surface becomes rougher or smoother as it sublimes.

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