Retrieving "Brunt Väisälä Frequency" from the archives

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1. Extratropical Cyclone

   Linked via "Brunt–Väisälä frequency"

   $$\lambda = \frac{k^2 \left| \mathbf{V}g \right|{1} \left| \mathbf{V}g \right|{2}}{f^2} \left( \frac{1}{2} \frac{\partial^2 \phi}{\partial z^2} + \frac{1}{2} \frac{\partial^2 \phi}{\partial y^2} \right) \cdot \frac{1}{N^2} \cdot \sigma$$
   Where $k$ is the wavenumber, $\mathbf{V}_g$ represents the geostrophic wind at different vertical levels, $\phi$ is the geopotential height, $f$ is the Coriolis parameter, $N$ is the [Brunt–Väisälä frequency](/entries/brunt-vaisala-frequ…