Vertical breathing mode of an astrophysical disk
= Vertical breathing mode of an astrophysical disk
{title2=$\omega_H$}
The vertical breathing mode is a coherent oscillation of a disk's thickness. For an adiabatic gas with pressure proportional to $H^{1-\gamma}$ in a harmonic vertical potential, $\omega_H=\sqrt{\gamma+1}\,\Omega_z$.