On a hot, high, humid day an aircraft can perform as though it is thousands of feet higher than the runway elevation suggests. Density altitude captures that effect in a single number, and this calculator derives it from pressure altitude, temperature, and an optional dew point.
How it works
The core relationship scales the temperature deviation from the standard atmosphere at your pressure altitude, with an optional humidity term:
ISA temp (°C) = 15 − 1.98 × (pressure altitude / 1000)
ΔT = OAT − ISA temp
density altitude ≈ pressure altitude + 118.8 × ΔT (+ humidity term)
The 118.8 feet per degree Celsius is the standard sensitivity of density
altitude to temperature. When a dew point is supplied, a small correction is
added because moist air is less dense than dry air, which raises the effective
altitude.
Example and notes
At a pressure altitude of 5,000 feet with an outside air temperature of 30 °C, the ISA temperature is 15 − 1.98 × 5 = 5.1 °C, so ΔT is about 24.9 °C and the dry density altitude is roughly 5,000 + 118.8 × 24.9 ≈ 7,960 feet. A high dew point on top of that can push it past 8,000 feet equivalent. Always cross-check performance against the aircraft’s charts using density altitude, never the bare field elevation, on hot or high days.