Free aviation & aerospace calculators

Takeoff & Landing Distance Calculator

High and hot means a longer runway.

See how density altitude stretches both your takeoff and landing roll, and flattens your climb. Enter pressure altitude and temperature, or get density altitude from the density altitude calculator. This is an interactive version of the FAA Koch chart, extended to landing distance.

Takeoff & Landing Distance Calculator

High density altitude stretches both your takeoff roll and your landing rollout, and flattens your climb. Enter pressure altitude and temperature to see the penalty — or get density altitude straight from the density altitude calculator. (This is an interactive version of the FAA Koch chart.)

Educational estimates only — not for flight planning, dispatch, or weight-and-balance. Always fly the numbers in your POH and current official weather.

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tap the °C button to switch to °F
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Density Altitude
9,800 ft
Takeoff Distance
3,300 ft
Landing Distance
1,650 ft
Takeoff Increase
+230%
Landing Increase
+37%
Climb Rate Change
−74% (180 fpm)

Runway view — the bars show your takeoff and landing rolls at density altitude; the dashed line marks the sea-level figure.

Frequently asked questions

How much does takeoff distance increase with density altitude?

A lot, and non-linearly. At ~6,000 ft pressure altitude and 100 °F (~9,800 ft density altitude) takeoff distance increases about 230% over a sea-level standard day — a 1,000 ft ground roll becomes ~3,300 ft (matches the FAA Koch chart). Confirm against your POH and runway available.

How much does landing distance increase with density altitude?

Roughly 3.5% per 1,000 ft of density altitude. The cause is true airspeed: at altitude your TAS at touchdown is higher for the same indicated approach speed, so you carry more energy and roll farther. At ~9,800 ft DA a 1,200 ft sea-level landing becomes ~1,650 ft.

What is the Koch chart?

The Koch chart is an FAA-recommended graphical tool that estimates how much takeoff distance increases and rate of climb decreases as pressure altitude and temperature rise. This calculator is an interactive version of it, extended to also estimate landing distance. It is an approximation for when POH data isn't handy — always defer to your POH.

How much does climb rate drop with density altitude?

Roughly 7–8% per 1,000 ft of density altitude for a normally-aspirated airplane. At ~9,800 ft DA a 500 fpm sea-level climb drops to ~120 fpm. Climb is usually what you feel first on a hot, high day.