It is the energy possessed by a body due to the interactive forces inside the object. This may be described as the work done in assembling all the particles of a body in a definite shape and size or it is the work done in creating a body. We can say that if the forces inside the body are attractive, work done in assembling is done by the body itself and self energy of the body will be negative and if the forces inside the body are repulsive then some external work will be done in assembling the body and its self energy will be positive. As gravitational self energy of an object is concerned obviously it is always negative due to attractive forces.

Interaction energy of System of particles:

In a system of N particles with masses m₁, m­₂ ... m_n separated from each other by a distance r₁₂, r₁₃ ..... where r₁₂ is the separation between m₁ and m₂ and so on.

The total collision energy of system is,

The factor 1/2 is given because the interaction energy for each possible pair of system is taken twice during summation as for masses m₁ and m₃

                      (i ≠ j)

Gravitational Self energy of a Uniform Sphere (star):

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