Flattened power-law gravitational potential
= Flattened power-law gravitational potential
{title2=$\Phi=\Phi_0[R_0/(R^2+\lambda^2z^2)^{1/2}]^\beta$}
A flattened power-law <Newtonian gravitational potential> has equipotential spheroids $R^2+\lambda^2z^2=\text{constant}$. For $\Phi_0<0$ and $0<\beta<1$, its midplane <circular orbit> angular frequency satisfies $\Omega^2=-\beta\Phi_0R_0^\beta R^{-\beta-2}$.