Everything about Gravitational Binding Energy totally explained
The
gravitational binding energy of an object consisting of loose material, held together by gravity alone, is the amount of
energy required to pull all of the material apart, to infinity. It is also the amount of energy that's liberated (usually in the form of
heat) during the
accretion of such an object from material falling from infinity.
The gravitational binding energy of a system is equal to the negative of the
gravitational potential energy. For a system consisting of a celestial body and a satellite, the gravitational binding energy will have a larger absolute value than the potential energy of the satellite with respect to the celestial body, because for the latter quantity, only the separation of the two components is taken into account, keeping each intact.
For a spherical
mass of uniform
density, the gravitational binding energy
U is given by the formula
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