For two bodies having masses m and M with a distance R between their centers of mass, the equation for Newtonâs universal law of gravitation is
F = G mM /R2,
where F is the magnitude of the gravitational force and G is a proportionality factor called the universal gravitational constant.
G is a universal gravitational constantâthat is, it is thought to be the same everywhere in the universe.
It has been measured experimentally to be
G = 6.674Ă10â11Nâ
m2 / kg2
in SI units.
Note that the units of G are such that a force in newtons is obtained from F = G mM /R2, when considering masses in kilograms and distance in meters.
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