Dynamical frequency of a uniform-density star (${\omega }_d$)

The frequency ${\omega }_d=(GM/R^3{)}^{1/2}=(4\pi G\rho /3{)}^{1/2}$ measures the inverse gravitational timescale of a uniform-density sphere. It is the natural normalization for uniform-density stellar oscillation and the linear restoring or destabilizing accelerations.