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 ... mn 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,
![2168_Gravitational self energy.png](https://www.expertsmind.com/../CMSImages/2168_Gravitational self energy.png)
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):
![341_Gravitational self energy3.png](https://www.expertsmind.com/CMSImages/341_Gravitational%20self%20energy3.png)
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