). Note that acceleration due to gravity
(g) is a constant if Z is the geopotential height (if actual
geometric height z is used, then g intrinscially will depend
on latitude and height). Mathmatically, this statement can be written
as
Using ideal gas law
the hydrostatic equation can be written as :
Integrate the above from level 1 to level 2,
This results in the hypsometric equation :
