Posted by James on Tuesday, March 17, 2009 at 10:47pm.
Yes, sort of
(1/2)m v^2 = original (1/2) m v^2 + loss of potential energy as the mass nears earth
That loss is
(G M m/r far away - G M m /r near)
for r far away use 2.5*10^8
for r near use radius of earth for the one that hits
for r near use radius of earth + 8.5*10^6 for the one that comes close
-(G M m/r far away - G M m /r near)
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