earthkit.meteo.vertical.array.geometric_height_from_geopotential

earthkit.meteo.vertical.array.geometric_height_from_geopotential(z, R_earth=constants.R_earth)

Compute the geometric height from geopotential.

Parameters:

• z (array-like) – Geopotential (m2/s2)

• R_earth (float, optional) – Average radius of the Earth (m)

Returns:

Geometric height (m)

Return type:

array-like

The computation is based on the following formula:

\[h = \frac{R_{earth} \frac{z}{g}}{R_{earth} - \frac{z}{g}}\]

where

• \(R_{earth}\) is the average radius of the Earth (see meteo.constants.R_earth)

• \(g\) is the gravitational acceleration on the surface of the Earth (see meteo.constants.g)