Gravitational radius (source code)

= Gravitational radius
{title2=$R_g$}
{wiki}

For a self-gravitating system of mass $M$ and <Newtonian gravitational potential energy> $W<0$, its gravitational radius is defined by
$$
R_g=-\frac{GM^2}{W}.
$$
It converts the total binding energy into a characteristic size without assuming a particular density profile.