the validity of the ideal gas law, hydrostatic
balance, a piecewise linear vertical gradient of air temperature, and neglecting the effects of water
vapour. Pressure, p, as a function of height can then be derived through vertical integration of the
hydrostatic balance equation, and is given by
p(h(
x;y);z) = p0 exp
g
R
Z h(
x;y)+z
0
dx
T (
x )
; (5)
where p0 is pressure at mean sea level, T
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