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Density Altitude

Pressure altitude corrected for temperature.

Formula

DA=PA+120(OAT−ISA)DA = PA + 120(OAT - ISA)

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Variables

PAPressure altitude
OATOutside temp
ISAStandard temp

Example

Hot air reduces performance

How it works

Density altitude is the altitude in the standard atmosphere that would have the same air density as the air at your current location. It combines the effect of pressure altitude and temperature, because warm air is less dense and behaves as if the aircraft were operating higher up. The "120" factor is an aviation approximation that converts a temperature difference in °C into an equivalent altitude change in feet.

When to use it

Use this when estimating aircraft performance for takeoff, climb, and landing, especially on hot days or at high-elevation airports. It is also useful in flight planning, weight-and-balance decisions, and understanding why an aircraft may underperform even when the field elevation looks acceptable.

Worked example, step by step

Given: PA = 4,500 ft OAT = 32°C ISA at 4,500 ft ≈ 15 - (2 × 4.5) = 6°C Step 1: Find the temperature difference OAT - ISA = 32 - 6 = 26°C Step 2: Convert temperature difference to altitude correction 120 × 26 = 3,120 ft Step 3: Add to pressure altitude DA = PA + 120(OAT - ISA) DA = 4,500 + 3,120 DA = 7,620 ft Final answer: Density altitude = 7,620 ft

Common mistakes to avoid

  • Using airport elevation instead of pressure altitude
  • Forgetting to calculate ISA temperature for the actual pressure altitude
  • Mixing Celsius and Fahrenheit, which makes the 120 factor invalid

Did You Know?

On a hot day at a high airport, density altitude soars and aircraft struggle to generate lift.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026