Heats generated during atmospheric entry

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Loren Booda
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Consider a hypothetical planet of given radius and mass. What atmospheric density would generate the most frictional heating on a standard sphere falling from infinity to the planet surface?
 
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Neutronium, although I don't think that most people would categorize it as an 'atmosphere'.
 
Wouldn't neutronium, not being a fluid, inhibit the sphere from falling to the planet? I was thinking more of a gaseous atmosphere, whose density at anyone altitude (for the hypothetical planet mentioned) happens to be dependent on its depth, or total mass
 
How about higher density --> 1. more buoyancy; 2. slower entry (due to friction overall); 3. greater heat conduction
 
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If you're dropping the object from infinity, the entry speed is determined by gravity. A thicker atmosphere doesn't change that, it just slows the object down faster once it gets there (generating more heat).

Buoyancy is not ever a factor.

Conduction and convection are not factors.