I wanted to figure out the temperature(t(adsbygoogle = window.adsbygoogle || []).push({}); _{2}) of any object based on things such as its specific heat capacity, re-entry speed, etc.

Work: W = Fy

Force by Air: F_{D}= 1/2pv^{2}C_{D}A

Energy-temperature relationship: Q = mc(t_{2}- t_{1})

Setting things equal & solving for t_{2}gives:

t_{2}= (1/2pv^{2}C_{D}Ay+mct_{1}) / mc

(I'm sorry I could not get latex to format all of the formulas correctly so I formatted none of them...)

So, how accurate is this equation in describing temperature gain through freefall back down to earth?

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# My Attempt At Re-entry Temp. Calculation

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