Compute density altitude, pressure altitude, density ratio, and aircraft performance impacts from elevation, temperature, humidity, and altimeter setting. Visualize the density altitude curve and assess takeoff & climb performance.
Density altitude is the altitude at which the air density in the International Standard Atmosphere (ISA) matches the actual air density at a given location. It is not a physical altitude but a performance metric that directly affects aircraft lift, engine power, and propeller efficiency. In simple terms: density altitude is the altitude the aircraft “feels” in terms of aerodynamic performance.
Density Altitude = Pressure Altitude + 120 × (OAT − ISA_T)
Where ISA_T = 15 − 0.0019812 × Pressure Altitude (ft) in °C
High density altitude reduces aircraft performance: longer takeoff rolls, reduced climb rates, and diminished engine power. This is why density altitude is a critical pre‑flight calculation for pilots, especially when operating from high‑elevation airports or on hot, humid days.
Air density is governed by the ideal gas law: ρ = P / (R × Tv), where P is the station pressure, R is the specific gas constant (287.05 J/kg·K), and Tv is the virtual temperature — the temperature that dry air would need to have to match the density of moist air. Humidity reduces air density because water vapor (molecular weight 18) displaces nitrogen (28) and oxygen (32), decreasing the average molecular weight of the air.
Our calculator implements the full ISA model (ICAO Standard Atmosphere) with humidity correction. The station pressure is derived from the altimeter setting (QNH) and elevation, then combined with virtual temperature to compute actual air density. Finally, the density height is found by inverting the ISA density‑height relation.
The result is a density altitude that accounts for temperature, pressure, and humidity — the three primary factors affecting air density. This approach follows the methodology outlined in FAA Advisory Circular 00‑45H (Aviation Weather) and NACA Report 1235.
Based on the FAA Pilot's Handbook of Aeronautical Knowledge and Boeing performance manuals, the table below shows typical performance degradation at various density altitudes (for a normally aspirated aircraft).
| Density Altitude (ft) | Takeoff Roll Increase | Climb Rate Decrease | Engine Power Loss | Risk Level |
|---|---|---|---|---|
| 0 (SL Std) | 0% (baseline) | 0% (baseline) | 0% | Low |
| 2,000 | +15% | −12% | −7% | Low |
| 4,000 | +35% | −25% | −14% | Moderate |
| 6,000 | +55% | −38% | −21% | Moderate |
| 8,000 | +80% | −50% | −28% | High |
| 10,000 | +110% | −62% | −35% | Severe |
Leadville Airport (KLXV) is the highest public‑use airport in North America at 9,934 ft MSL. On a summer day with OAT of 22°C and altimeter 29.92 inHg, the density altitude routinely exceeds 12,500 ft. A Cessna 172 at this density altitude requires nearly 2× the normal takeoff distance and has a climb rate of just 200–300 ft/min — barely adequate for mountainous terrain. This calculator helps pilots quantify that risk before takeoff.
Using our tool, you can simulate this exact scenario and see the performance factors. The density altitude calculation is a critical component of the pre‑flight risk assessment for any high‑altitude airport.