Heats generated during atmospheric entry

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The discussion centers on the atmospheric density required to maximize frictional heating for a sphere falling to a hypothetical planet. It posits that while higher atmospheric density increases friction, it does not affect the entry speed determined by gravity. The role of buoyancy, conduction, and convection in this scenario is dismissed as irrelevant. The consensus is that a denser atmosphere results in more frictional heating upon entry, but it does not alter the initial fall speed. Ultimately, the key takeaway is that increased density leads to greater heat generation during the descent.
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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
 
At high energy, everything is a fluid. The question doesn't have an answer other than higher density = more friction.
 
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.
 
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