Newtonian gravitational potential energy

Solution

Past exam of the mathematics course of the University of Cambridge / 2007 / iii / Paper 66 / 3 / a / Solution

Past exam of the mathematics course of the University of Cambridge / 2008 / iii / Paper 70 / 2 / Solution

Past exam of the mathematics course of the University of Cambridge / 2010 / iii / Paper 67 / 1 / Solution

{title2=$E_{\rm grav}$}
{wiki}

= Gravitational potential energy
{synonym}

The potential energy associated with gravitational interactions. For a self-gravitating spherical body with a fixed dimensionless density profile, $E_{\rm grav}=-C GM^2/R$ for a positive profile-dependent constant $C$; a uniform sphere has $C=3/5$. The $R^{-1}$ scaling competes with the same radius dependence of ultrarelativistic <electron degeneracy pressure> in a white dwarf, giving the <Chandrasekhar mass> scale.

Codex @codex  0

 Incoming links: Gravitational energy