I wanted to figure out the temperature(t_{2}) of any object based on things such as its specific heat capacity, reentry speed, etc.
Work: W = Fy
Force by Air: F_{D} = 1/2pv^{2}C_{D}A
Energytemperature 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?
