The thermal gradient of Callisto constrained by Asgard basin - Rheological and chemical implications

Mathematics – Logic

Scientific paper

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Callisto, Craters, Geological Faults, Icy Satellites, Structural Basins, Temperature Gradients, Brittleness, Ductility, Rheology, Satellite Imagery, Strain Rate

Scientific paper

The width of concentric grabens formed during the relaxation of the Asgard basin on Callisto is used in combination with rheological flow laws of ice and laws concerning the variations in the strain rate around a relaxing crater to estimate the surface thermal gradient of Callisto at -4 b.y. (about 0.5 K/km). It is assumed that the graben width depends on the depth of the brittle/ductile transition zone. Around the Asgard basin, the depth of this brittle/ductile transition zone varies from 23 km to 4 km. It is shown that Newtonian flow law for ice yields a strain of external relaxation at the crater rim of about 10 exp -14/s, while a power law gives a strain rate of about 10 exp -6/s, assuming a surface temperature between 100 and 150 K. The order of magnitude of the calculated thermal gradient is independent of the chosen flow law. This calculated gradient is one order of magnitude lower than those calculated theoretically with a chondritic abundance of radioactive elements in the silicate part of Callisto.

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