Sphere Gravitational Potential Energy -- from Eric Weisstein's World of Physics

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Sphere Gravitational Potential Energy

For a self-gravitating sphere of constant density , mass M, and radius R, the potential energy is given by integrating the gravitational potential energy over all points in the sphere,

where G is the gravitational constant, which can be expressed in terms of

as

(Kittel et al. 1973, pp. 268-269).

Gravitational Potential Energy, Jeans Length

References