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Standard atmosphere

After searching quite a bit for practical formulae to do this job, I finally took the excellent work of Hugo Lorente, published by AMSAT Argentina in the proceedings of the 1er Simposio de Comunicaciones Satelitales y Digitales (22/23 de setiembre de 1990), and derived the ones that are below.
(Each case presents the theoretical formula, and then a version with all constants replaced by their values).

For those who are not interested in the formulas, I've published a an on-line calculator on another page.

OJO: All formulas use metric units! (like hectoPascal (hPa), g in m/s², height in meters (m), etc.
Presure > 226.3203 hPa
54.749 < Pressure < 226.3203 hPa
8.68 < Pressure < 54.749 hPa
Pressure < 8.68 hPa


To complete the list, I'll include the original (inverse) formulas below:

Height < 11000m
11000m < Height < 20000m
20000m < Height < 32000m
32000m < Height

Where:

T0
Temperature at 0 m (288.15°K)
T11
Temperature at 11000 m
T20
Temperature at 20000 m
T32
Temperature at 32000 m
a
Temperature at sea level
b
Temperature decrease per m altitude:
         0 - 11000m   -0.0065°K/m
     11000 - 20000m   Stable
     20000 - 32000m   +0.001°K/m
     32000 - 47000m   +0.0028°K/m
g
9.80665 m/s²
rho0
Air density at 0 m (1.225 kg/m3)
P0
Pressure at 0 m (1013.25 hPa)

(c) John Coppens ON6JC/LW3HAZ mail