F=G{[(m1)(m2)]/(r2)}
where
F= Force of gravity between two objects
G= The universal gravitational constant (6.64 * 10-11 N(m/kg2)
m1=The Mass of object 1
m1=The Mass of object 1
In order to achieve a negative gravity or a repulsive force, you would need to have at least one negative mass object, which in general is not seen to be plausible. However, there are other possibilities. See this page for a more detailed answer :
http://en.wikipedia.org/wiki/Anti-gravity
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No. There are situations with little or no gravity, but no situation where an anti-gravitational force exists.
Though there is now way to dissipate the force of gravity, there are ways to counter gravitational force with electromagnetic forces, and even mechanical forces, though it might not seem like it. An object hanging from a rope technically experiences the same anti-gravitational force that an object suspended in an electromagnetic field does.