Atmospheric Models - Geopotential Altitude

Geopotential Altitude

Gravitational acceleration, g(z), decreases with altitude since moving up means moving away from the planet's center.

This problem of decreasing g can be dealt with by defining a transformation from real geometric altitude z to an abstraction called "geopotential altitude" h, defined:

h has the property

where

Which basically says the amount of work done lifting a test mass m to height z through an atmosphere where gravity decreases with altitude, is the same as the amount of work done lifting that same mass to a height h through an atmosphere where g magically remains equal to g0, its value at sea level.

This geopotential altitude h is then used instead of geometric altitude z in the hydrostatic equations.

Read more about this topic:  Atmospheric Models

Famous quotes containing the word altitude:

    On a level plain, simple mounds look like hills; and the insipid flatness of our present bourgeoisie is to be measured by the altitude of its “great intellects.”
    Karl Marx (1818–1883)