1. What Density Altitude Means
Pressure altitude is the altitude shown when the altimeter is set to the standard pressure of 1013.25 hPa (29.92 inHg). Density altitude is pressure altitude corrected for temperature. It describes the air density the aircraft actually experiences, and it is a more useful measure of performance than the field elevation alone, because warm air is less dense than cold air at the same pressure.
For performance, the International Standard Atmosphere (ISA) gives a reference temperature for each altitude. A rough rule used in training is that density altitude rises by about 120 feet for each degree Celsius that the outside air temperature is above ISA. This rule is for situational awareness and in-flight cross-checks only. It is not a performance calculation method. The aircraft manufacturer's performance data in the Pilot's Operating Handbook (POH) is always the authority.
2. Why It Affects Performance
Wing lift depends on air density. For the same indicated airspeed, less dense air produces less lift, so the aircraft must fly faster through the air to stay airborne, which means a longer takeoff roll. Normally aspirated engines also produce less power in thin air, which reduces climb performance. Both effects grow as density altitude rises.
These effects are not gradual in practice. On a hot day at a high-elevation airfield, the aircraft can need much more runway than the same aircraft at sea level, and the climb after takeoff can be much slower. Pilots flying in mountainous terrain need to plan for this before the flight, not during it.
3. Worked Examples
The table below uses the approximation above. Values are rounded, and they are intended to show how temperature changes the picture, not to replace performance charts.
Approximate density altitude for example conditions
| Pressure altitude | Outside air temperature | ISA temperature | Approximate density altitude |
|---|---|---|---|
| 0 ft | 15°C | 15°C | About 0 ft |
| 2,000 ft | 11°C | 11°C | About 2,000 ft |
| 2,000 ft | 30°C | 11°C | About 4,300 ft (19°C above ISA) |
| 5,000 ft | 25°C | 5°C | About 7,400 ft (20°C above ISA) |
| 5,000 ft | -5°C | 5°C | About 3,800 ft (10°C below ISA) |
The first two rows show a standard day. The third row shows why a hot afternoon at a mountain strip can feel like a much higher airfield. The last row shows that cold air lowers density altitude, which is one reason winter operations can be favourable for performance.
4. Planning Practice
Before flying from a high or hot field, read the takeoff and climb performance section of the aircraft's Pilot's Operating Handbook at the planned weight and the forecast temperature. Include the effect of passengers, baggage and fuel, and the runway length, surface and slope. Allow a margin beyond the figures in the chart, and decide in advance what you will do if the aircraft does not accelerate or climb as expected.
Many performance problems come from planning on the field elevation and forgetting the temperature, or from assuming that the afternoon will be cooler than the morning. Check the forecast maximum temperature for the planned departure time, not an average.
5. European Mountain and Altiport Operations
Density altitude effects compound quickly at European alpine airfields. Short, sloping strips, valley winds that change through the day, updrafts on sunlit slopes and downdrafts on the lee side can all change the performance picture within minutes. Escape routes are often limited, and a go-around may require terrain clearance that the aircraft cannot give in hot, high conditions.
Treat the rule of thumb as a prompt to ask whether the performance margin is still adequate once terrain and wind are added. If the margin is not clearly sufficient, the decision is to delay, reduce the load or choose another airfield.
6. Common Mistakes
The most frequent errors are using last year's figures, using the wrong weight, relying on memory for a chart, and forgetting that a field can be hot even when the forecast for the valley is mild. Treat density altitude as a check you complete before every departure from a high or warm airfield, rather than a calculation you make only when something seems wrong.
Performance depends on the air the aircraft actually flies through. Check the aircraft's own data for every departure from a high or warm field.
Continue Reading
- Mountain Wave Rotor Turbulence How lee waves form, what to look for, and why turbulence can be severe even in clear air.
- Supercooled Liquid Water (SLW) How supercooled droplets freeze on an airframe and why ice changes lift and drag.