earthkit.meteo.vertical.array.geopotential_from_geometric_height

earthkit.meteo.vertical.array.geopotential_from_geometric_height(h, R_earth=constants.R_earth)

Compute the geopotential from geometric height.

Parameters:

• h (array-like) – Geometric height with respect to the sea level (m)

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

Returns:

Geopotential (m2/s2)

Return type:

array-like

The computation is based on the following formula:

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

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)