earthkit.meteo.vertical.array.geopotential_height_from_geometric_height

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

Compute the geopotential height from geometric height.

Parameters:
  • h (ArrayLike) – Geometric height with respect to the sea level (m)

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

Returns:

Geopotential height (m)

Return type:

ArrayLike

The computation is based on the following formula:

\[gh = \frac{h R_{earth}}{R_{earth} + h}\]

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