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34. The gravitational potential energy is
()
2
==
Gm M
m
G
UM
m
m
rr
−
−−
−
which we differentiate with respect to
m
and set equal to zero (in order to minimize).
Thus, we find
M
−
2
m
= 0 which leads to the ratio
m/M
= 1/2 to obtain the least potential
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 Spring '08
 Any
 Physics, Energy, Potential Energy

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