# Isothermal atmosphere

From AMS Glossary

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## isothermal atmosphere

(

*Also called*exponential atmosphere.) An idealized atmosphere in hydrostatic equilibrium in which the temperature is constant with height and in which, therefore, the pressure decreases exponentially upward.In such an atmosphere the thickness between any two heights is given by where

*R*_{d}is the gas constant for dry air,*T*_{v}the virtual temperature (°K),*g*the acceleration of gravity, and*P*_{A}and*P*_{B}the pressures at the heights*z*_{A}and*z*_{B}, respectively. In the isothermal atmosphere there is no finite height at which the pressure vanishes.