The same effect happens in an isothermal atmosphere with the ideal gas assumption.
2.
Unfortunately many of these simplifications ( i . e . no dissipation, isothermal atmosphere ) do not correspond to conditions in the actual atmosphere.
3.
The "'barometric formula "', sometimes called the " atmosphere " or " isothermal atmosphere ", is a formula used to model how the pressure ( or density ) of the air changes with altitude.
4.
For an isothermal atmosphere, ( 1-\ frac { 1 } { e } ) or about 63 % of the total mass of the atmosphere exists between the planet's surface and one scale height . ( The total air mass below a certain altitude is calculated by integrating over the density function .)
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