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Density altitude calculator

Calculate density altitude from pressure, temperature and optional humidity, with altimeter-setting input and a temperature-sensitivity chart.

Calculator

Air density
1.20415
Density / standard sea-level density
0.98298111
Density altitude
178.441
Pressure altitude
0
Station pressure
101.325
Density altitude versus temperature Line chart. The data table follows. 0 -183.1 7.5 -6.061 15 171 22.5 348 30 525.1 Air temperature (C) Density altitude (selected height units)
Density altitude versus temperature data
SeriesAir temperature (C)Density altitude (selected height units)
Density altitude (m)10-183.10350678476905
Density altitude (m)10.5-164.65393545301333
Density altitude (m)11-146.24448378673387
Density altitude (m)11.5-127.8749941773744
Density altitude (m)12-109.54530991098696
Density altitude (m)12.5-91.25527516160724
Density altitude (m)13-73.00473498468914
Density altitude (m)13.5-54.793535310558745
Density altitude (m)14-36.62152293800642
Density altitude (m)14.5-18.48854552784913
Density altitude (m)15-0.39445159659131046
Density altitude (m)15.517.66090948982569
Density altitude (m)1635.6776875222742
Density altitude (m)16.553.656031454587385
Density altitude (m)1771.59608940970652
Density altitude (m)17.589.49800868570017
Density altitude (m)18107.36193576178842
Density altitude (m)18.5125.18801630428328
Density altitude (m)19142.9763951724998
Density altitude (m)19.5160.7272164245733
Density altitude (m)20178.44062332327218
Density altitude (m)20.5196.11675834172652
Density altitude (m)21213.75576316912273
Density altitude (m)21.5231.35777871633374
Density altitude (m)22248.9229451215053
Density altitude (m)22.5266.4514017556028
Density altitude (m)23283.94328722789857
Density altitude (m)23.5301.398739391411
Density altitude (m)24318.81789534828846
Density altitude (m)24.5336.20089145516397
Density altitude (m)25353.5478633284465
Density altitude (m)25.5370.8589458495918
Density altitude (m)26388.13427317027515
Density altitude (m)26.5405.37397871758384
Density altitude (m)27422.57819519911595
Density altitude (m)27.5439.74705460803506
Density altitude (m)28456.88068822814444
Density altitude (m)28.5473.97922663881866
Density altitude (m)29491.04279971997926
Density altitude (m)29.5508.0715366569577
Density altitude (m)30525.0655659453921

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How this calculator works

Density altitude is the height in the standard atmosphere with the same air density as the entered state. Moist-air density is computed from component partial pressures, then the ISA density profile is inverted through 20 km. Altimeter settings are reduced using the same standard pressure profile. The chart varies temperature at fixed pressure; dew-point mode holds vapour pressure fixed while RH mode holds relative humidity fixed. These are different scenarios. Aircraft performance also depends on aircraft configuration and its approved performance data.

Formula

rho = (p-e)/(R_d T)+e/(R_v T). Find h for rho_ISA(h)=rho. For h<=11 km: rho_ISA = rho0 (1-Lh/T0)^[g/(R L)-1]; above 11 km density decays exponentially.

Worked example

For dry air at 15 C and 101325 Pa, density is about 1.22505 kg/m3 and density altitude is close to sea level. The small offset reflects the published gas-constant approximations used for moist air and ISA.

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Frequently asked questions

Why does hot weather raise density altitude?

Warmer air is less dense at the same pressure, matching a higher point in the standard atmosphere.

Does humidity matter?

Yes. Humid air is slightly less dense at the same pressure and temperature.

Is this station elevation?

No. Density altitude is a comparison with a reference atmosphere and can differ substantially from actual elevation.

Sources

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