Hydrostatic Equation

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Hydrostatic Equation

</dt>
In numerical equations, the form assumed by the vertical component of the vector equation of motion when all coriolis, earth- curvature, frictional, and vertical-acceleration terms are considered negligible compared with those involving the vertical pressure force and the force of gravity. Thus,

dP = -pgdZ

where P is the atmospheric pressure; p is the density; g is the acceleration of gravity; and Z is the geometric light. </dd>
For cyclonic-scale motions the error committed in applying the hydrostatic equation to the earth's atmosphere is less than 0.01 percent. Strong vertical accelerations in thunderstorms and mountain waves may be 1 percent of gravity or more in extreme situations. [[/a>|/a> ]]

References

This article is based on NASA's Dictionary of Technical Terms for Aerospace Use