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I was curious, too, and found this:

http://cseligman.com/text/planets/magnetism.htm

The author estimates Mars' core temperature to be 5000-7000F, compared to an estimate of around 14000F for Earth. Obviously, the planets' respective compositions are different, so I'm not sure if one could just scale a temperature estimate linearly---but what the heck, this is the Internet and no one's grading me, right? ;)

So the core temperature ratio is 5/14, and the size ratio is 1/3, so:

  (5/14) * (1/3) * 44F = ~5F
That comports with the current consensus regarding subsurface water, because scientists think that it's likely frozen or perhaps a brine (which would depress the solution's freezing point below that of pure water).

Tunneling is probably a good idea anyway, because the surrounding rock will protect and insulate the habitat even if the subsurface temperatures aren't enough to warm it.

Edited: Oh for God's sake, I confused degrees Fahrenheit with degrees Celsius.




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