Template:Math/EQ RadialPulsation04

	$0=\frac{d^{2}x}{d{r}_0^2}+\frac{1}{r_0}[4+\frac{d\ln P_0}{d\ln r_0}]\frac{dx}{d{r}_0}+\left[\right(3-\frac{4}{{\gamma }_g}\left)\frac{d\ln P_0}{d\ln r_0}\right]\frac{x}{r_0^2}-\frac{1}{\mathrm{\Delta }}[\frac{d\ln P_0}{d\ln r_0}\cdot \frac{{\rho }_c}{{\rho }_0}(\frac{{\sigma }_c^2}{6{\gamma }_g}\left)\right]\frac{x}{r_0^2}$
where:    $\mathrm{\Delta }\equiv \frac{M_r}{4\pi r_0^3{\rho }_0},$    ${\sigma }_c^2\equiv \frac{3{\omega }^2}{2\pi G{\rho }_c}$