|MadSci Network: Earth Sciences|
This is an interesting what if question. We can use the earth as a model because it does have weather caused by the sun's energy. The most accurate way to answer using this model would be to locate accurate estimations of the relative amount of thermal energy provided to the earth by the sun, and the amount of geothermal energy available on the earth. Not having this information at hand, I will postulate the following line of reasoning. For a crude estimation, I believe that the sun provides over 97% of the energy on the earth. For that reason, I predict that the answer to this question is "NO." Geothermal energy cannot provide anywhere near the amount of energy needed to feed the entire earth's atmosphere to create weather, and moving to a generic planetary model does not change the magnitude involved appreciably.
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