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hypsometric equation : ウィキペディア英語版
hypsometric equation
The hypsometric equation, also known as the thickness equation, relates an atmospheric pressure ratio to the equivalent thickness of an atmospheric layer under the assumptions of constant temperature and gravity. It is derived from the hydrostatic equation and the ideal gas law.
==Equation==
The hypsometric equation is expressed as:〔(【引用サイトリンク】title=Hypsometric equation - AMS Glossary )
:\ h = z_2 - z_1 = \frac \cdot \ln \left ( \frac \right )

where:
:\ h = thickness of the layer ()
:\ z = geometric height ()
:\ R = specific gas constant for dry air
:\ \bar = mean temperature in Kelvin ()
:\ g = gravitational acceleration ()
:\ p = pressure (HREF="http://www.kotoba.ne.jp/word/11/Pascal (unit)" TITLE="Pascal (unit)">Pa )
In meteorology, p_1 and p_2 are isobaric surfaces. In altimetry with the International Standard Atmosphere the hypsometric equation is used to compute pressure at a given height in isothermal layers in the upper and lower stratosphere.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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