Aviation, Aerospace & Marine Aircraft Performance, Fuel & Range CAA Safety Sense correction factors

Landing Distance Calculator

Flight manual landing distances are measured on a dry, level, hard runway at sea level, at maximum weight, by a test pilot flying the technique in the book. This calculator takes those figures and corrects them for the density altitude, weight, wind, slope and surface you are actually landing on, then applies the safety factor your rule set demands and compares the result against the runway available. It shows every multiplier separately so you can see which condition is costing you the most distance.

Calculator

This calculator runs in your browser. Enable JavaScript for live results — the inputs, formula and worked example below remain fully readable without it.

Inputs this calculator takes, with typical values
InputWhat to enterExample
Flight manual ground rollLanding roll from the flight manual at the reference conditions the chart states, usually sea level and maximum landing weight.750 ft
Flight manual distance over a 50 ft obstacleTotal distance from 50 ft above the threshold to a full stop, at the same reference conditions as the ground roll.1350 ft
Reference weight for those figuresThe weight the flight manual chart was produced at, printed on the chart itself - usually maximum landing weight.2400 lb
Approach speed over the thresholdThe threshold speed you will fly, because the wind correction is scaled against landing speed rather than applied per knot.65 kt
Pressure altitude of the runwayField elevation corrected to 1013.25 hPa; set the altimeter subscale to 1013 on the ground and read it, or use the pressure altitude calculator.0 ft
Outside air temperatureAir temperature at the runway in degrees Celsius, taken from the METAR or the field thermometer.15 C
Actual landing weightYour weight at the threshold: ramp weight less the fuel you expect to have burned by then.2300 lb
Wind component along the runwayPositive for a headwind, negative for a tailwind; use the crosswind component calculator to split the reported wind first.5 kt
Runway slope in the landing directionPositive for a downslope in the direction you land, negative for an upslope; the AIP or airfield plate publishes the gradient.0 %
Runway surface and conditionChoose the closest surface; where the flight manual or the AIP publishes a figure for the actual runway, that figure wins.Dry paved - no correction
Safety factor to applyPick the margin your operation requires; private flights are not obliged to factor, but the demonstrated distance assumes a perfect approach.1.43 - public transport factored landing distance
Landing distance availableThe LDA published for the runway you intend to use, which may be shorter than the physical runway where a displaced threshold applies.3000 ft

It returns

  • Factored landing distance required — Corrected 50 ft distance multiplied by the safety factor you selected.
  • Corrected distance over 50 ft
  • Corrected ground roll
  • Density altitude
  • Combined correction factor
  • Margin against the runway available
  • Margin as a share of the LDA

The formula

D=DrefkDAkwkwindkslopeksurf
DA=PA+118.8(OATTISA)

In plain text: D = D_ref · k_DA · k_weight · k_wind · k_slope · k_surface, then LDR = D · SF

  • D_refFlight manual distance at its stated reference conditions (ft)
  • k_DADensity altitude factor: 1 + 5% per 1,000 ft (-)
  • k_wWeight factor: 1 + 10% per 10% increase in landing weight (-)
  • k_windWind factor: −5% per headwind equal to 10% of Vref, +20% per tailwind equal to 10% of Vref (-)
  • k_slopeSlope factor: 1 + 10% per 2% of downslope (-)
  • k_surfSurface and contamination factor (-)
  • SFSafety factor applied to reach the required landing distance (-)

The factors multiply rather than add, which is why two moderate penalties combine into a large one. Flight manual data for the actual conditions always takes precedence over this factor method.

Updated Category Aircraft Performance, Fuel & Range Verified against published test cases Reading time 14 min

Why the book number is never the number

A flight manual landing distance is a measurement, not a promise. It was flown by a test pilot in a new aeroplane, on a dry level paved runway, at a stated weight and a stated pressure altitude and temperature, using a specific technique — usually the threshold crossed at exactly 50 ft and exactly the book speed, with maximum braking from touchdown. Every departure from those conditions makes your landing longer, and the departures multiply rather than add.

That multiplication is the important part. A 4,000 ft density altitude costs 20%. Landing 8% over the reference weight costs 8%. A wet runway costs 15%. Each on its own sounds tolerable. Together they give 1.20 × 1.08 × 1.15 = 1.49, half again as much runway, before any safety factor is applied at all.

The correction factor set used here follows the structure taught in the UK CAA's Safety Sense guidance on aeroplane performance, which has become the standard method wherever a flight manual does not provide charts for the actual conditions: 10% of extra distance per 10% of extra weight, 20% for a tailwind equal to a tenth of the landing speed, and 10% per 2% of downslope. The altitude term is applied here against density altitude at 5% per 1,000 ft, folding the separate elevation and temperature corrections into one. Surface figures differ between published sets and depend heavily on grass length and moisture, so treat those in particular as planning values rather than measurements. Where your flight manual has a chart for wet grass or for your exact density altitude, use the chart — it is measured data about your aeroplane, and this method is a generic approximation.

Each factor, and why it takes the value it does

Density altitude costs about 5% of landing distance per 1,000 ft. Thin air means a higher true airspeed for the same indicated approach speed, and kinetic energy scales with the square of true speed, so there is more energy to dissipate over the same braking distance. Landing is less sensitive to density altitude than take-off, which is why this factor is half the take-off one. Work out density altitude from pressure altitude and temperature — the calculator does it for you, and the density altitude calculator explains the relationship in detail.

Weight costs about 10% per 10% increase. Heavier means a higher approach speed and more energy, but also more weight on the wheels for braking, and those two effects partly cancel. Note the denominator: the factor is relative to the weight the flight manual chart was produced at, not to maximum weight, and those are not always the same number. The calculator applies the rule symmetrically, so a landing weight below the chart weight produces a factor under 1.00 and shortens the distance. That credit is real but it is the one correction here that works in your favour, so take it only when you are confident of the landing weight.

Wind is expressed as a fraction of your landing speed rather than as a penalty per knot, because 10 kt matters far more to a 55 kt aeroplane than to a 140 kt one. A headwind equal to 10% of the threshold speed takes 5% off the distance; a tailwind of the same size adds 20%. The asymmetry is real and deliberate — tailwinds hurt disproportionately, which is why so many overrun events have a tailwind in the report.

Slope costs about 10% per 2% of downslope in the landing direction. An upslope helps by the same rule, and this calculator applies it, but treat a helpful slope with more caution than a harmful one: it is easy to float on a downhill runway and lose the benefit entirely.

Surface is where the biggest and least certain numbers live. Wet paving is around 15%; grass depends on length, firmness and moisture, and can double the distance when it is long, wet and soft. Contaminated runways are a different problem altogether, because standing water and slush add impingement drag on the roll but destroy braking action. Note that wet grass carries a larger penalty on landing than on take-off — the takeoff distance calculator uses 30% where this page uses 40%. Take-off only has to overcome rolling resistance; landing has to brake on the same surface, and a wet grass surface degrades braking well beyond what it costs in rolling drag.

Finally, the safety factor. The 1.43 figure is the factored landing distance used for public transport operations in Europe — that is, the required landing distance is the demonstrated distance divided by 0.7. The 1.667 figure is the same idea in United States commercial rules, where a turbojet must be able to stop within 60% of the effective length of the runway. The 1.15 figure reflects the 15% margin the FAA recommends when a crew reassesses landing performance in flight against the actual conditions. Private flights are not required to factor at all, which is precisely why so many private overruns are on runways that were legal and never remotely adequate.

Worked example: a 2,640 lb light single onto a wet runway at 4,000 ft

The flight manual gives 750 ft of ground roll and 1,350 ft over a 50 ft obstacle at 2,400 lb and sea level. Today you land at 2,640 lb, at a field with a pressure altitude of 4,000 ft and an outside air temperature of 25 °C, on a wet paved runway with a 5 kt headwind and no slope. Threshold speed is 65 kt. The runway offers 3,000 ft.

  1. ISA temperature at 4,000 ft. 15 − 1.98 × 4 = 7.08 °C.
  2. Density altitude. 4,000 + 118.8 × (25 − 7.08) = 4,000 + 2,129 = 6,129 ft.
  3. Density altitude factor. 1 + 0.05 × 6.129 = 1.3065.
  4. Weight factor. 2,640 ÷ 2,400 = 1.10, so the factor is 1.10.
  5. Wind factor. 10% of 65 kt is 6.5 kt, so a 5 kt headwind is 0.769 of a unit: 1 − 0.05 × 0.769 = 0.9615.
  6. Slope factor. Level, so 1.000.
  7. Surface factor. Wet paved, so 1.15.
  8. Combined. 1.3065 × 1.10 × 0.9615 × 1.000 × 1.15 = 1.589.
  9. Corrected distances. Ground roll 750 × 1.589 = 1,192 ft; over 50 ft, 1,350 × 1.589 = 2,145 ft.
  10. Factored at 1.43. 2,145 × 1.43 = 3,067 ft.
  11. Margin. 3,000 − 3,067 = −67 ft.

The unfactored distance of 2,145 ft fits inside 3,000 ft with 855 ft to spare, and that is the number an unwary pilot would look at. Once the 1.43 factor is applied the runway is 67 ft short. Nothing here was extreme: a warm day at a modest elevation, a normal weight, and rain. The four small penalties compounded to nearly 59% more runway than the book figure.

Reading the margin

Read the margin as a percentage rather than in feet, because the same 500 ft means something very different on a 2,000 ft strip and a 10,000 ft runway. A factored distance that consumes more than about 80% of the LDA leaves no room for the ordinary errors of a real approach — five knots fast, a hundred feet high over the threshold, a two-second float, brakes applied late.

Those errors are worth quantifying, because they are larger than most of the corrections on this page. Crossing the threshold 10 kt fast at a 65 kt reference speed carries (75 ÷ 65)² = 1.33 times the kinetic energy into the roll, so the braking distance alone grows by about a third — before any of the float that the extra speed also causes. Crossing 50 ft high instead of at the correct height adds air distance directly at the approach angle: on a 3 degree path an extra 50 ft costs nearly 1,000 ft of runway. A single second of float at 60 kt is 101 ft. This is why factoring exists, and why a technique-dependent distance should never be planned to the last foot.

Compare the corrected ground roll with the corrected 50 ft distance as well. The gap between them is the air distance — the part you control with approach accuracy rather than with brakes. If your runway will only accept the aeroplane when the air distance is flown perfectly, the honest conclusion is that the runway is marginal, not that you need to fly better.

One structural caution: this method applies a single combined factor to both the ground roll and the 50 ft distance, but the two do not scale identically in reality. Air distance depends mainly on approach speed and angle, while ground roll depends on braking and on true speed at touchdown, so density altitude and weight bite harder on the roll than on the air segment. The single-factor approach is the accepted simplification and errs conservatively on the air distance; where you have flight manual charts for both segments separately, prefer them.

The correction factors at a glance

Multiply the flight manual distance by each factor that applies. Factors compound.
ConditionLanding factorExample
Density altitude+5% per 1,000 ft6,000 ft DA → 1.30
Weight above reference+10% per 10%2,640 lb against 2,400 lb → 1.10
Headwind = 10% of Vref−5%6.5 kt at Vref 65 → 0.95
Tailwind = 10% of Vref+20%6.5 kt at Vref 65 → 1.20
Downslope 2%+10%1% downslope → 1.05
Wet paved+15%1.15
Short dry grass, firm+20%1.20
Short wet grass+40%1.40
Snow, slush or soft ground+60%1.60
Public transport safety factor×1.432,145 ft → 3,067 ft

These are the generic planning factors taught for aeroplanes without condition-specific flight manual charts. Manufacturer data for your type and the published figures for a specific runway both take precedence.

Assumptions and limits of this method

  • It assumes the book technique. Threshold at 50 ft, at the book speed, with the braking the manual assumes. Any of these flown differently invalidates the starting number, not just the corrections.
  • It assumes serviceable brakes and tyres. Worn brakes, a soft tyre or an inoperative anti-skid system are not in any factor here.
  • It treats surface condition as a single multiplier. Real contamination varies along the runway, and braking action can differ between the touchdown zone and the far end.
  • It does not model reverse thrust, lift dump or beta range. Turbine aeroplanes that use them will find the factor method pessimistic on a dry runway and roughly right on a slippery one, since regulatory landing distances usually exclude reverse.
  • It does not check obstacles on the approach. A runway with a 50 ft distance that fits may still be unusable if trees force a steeper or displaced approach.
  • It is a planning tool, not an authorisation. The pilot in command remains responsible for the decision, and the flight manual is the legal reference.

Tailwind is the factor that catches people out

A tailwind is penalised four times as heavily as an equal headwind is rewarded, and the penalty is on the distance that matters most. A 10 kt tailwind onto a 65 kt threshold speed is more than one and a half of the 10%-of-Vref units, so it adds over 30% to the landing distance on its own. It also increases the touchdown ground speed, so the energy the brakes must absorb rises with the square of that speed. When the wind is close to across the runway, resolve it properly with the crosswind component calculator rather than eyeballing it, because a wind that looks like a pure crosswind frequently has several knots of tailwind hiding in it.

Where landing distance sits among the performance calculations

Landing performance is the mirror image of take-off performance, and the two use the same factor structure with different values — take-off is roughly twice as sensitive to density altitude and to weight, because it depends on producing thrust in thin air rather than on dissipating energy. Run both with the takeoff distance calculator when you are assessing a short strip, because it is common for a field to accept the arrival comfortably and refuse the departure, particularly later in the day when the temperature has risen.

The inputs come from two other calculations. Pressure altitude and temperature give density altitude, and weight comes from the loading sheet — the weight and balance calculator gives the landing weight once you subtract trip fuel. Approach speed itself derives from stall speed at the actual weight, which is why a lighter aeroplane lands shorter for two compounding reasons at once; the stall speed calculator shows that relationship.

For commercial operations the vocabulary changes but the structure does not. Dispatch requires a factored distance computed before departure using forecast conditions, and many operators additionally require an in-flight assessment against the actual conditions on arrival with a smaller margin. Both are the same arithmetic applied at different times with different data, and both begin with a flight manual number that assumes a perfect approach.

Key terms

Landing distance available (LDA)
The declared distance usable for the landing roll, which begins at the threshold and may be shorter than the paved runway where the threshold is displaced.
Landing distance required (LDR)
The distance your aeroplane needs in the actual conditions, after corrections and after any safety factor. The landing is acceptable only when LDR is less than LDA.
Air distance
The part of the landing between crossing 50 ft and touchdown. It is set by approach speed, approach angle and flare technique rather than by braking.
Density altitude
Pressure altitude corrected for temperature — the altitude at which the standard atmosphere has the density you are actually flying in.
Factored landing distance
The corrected distance multiplied by a regulatory or company margin, such as the 1.43 used for public transport or the 60% rule for turbojets.

Frequently asked questions

Why multiply the landing distance by 1.43?

Because public transport landing rules require the aeroplane to be able to stop within 70% of the landing distance available, and 1 ÷ 0.7 is 1.43. The margin exists because a demonstrated distance comes from a test pilot flying the exact book technique in a new aeroplane. United States turbojet dispatch rules use 60% instead, which is a factor of 1.667. Private flights are not required to factor, but the same reasons for the margin still apply.

How much does a wet runway increase landing distance?

Roughly 15% on a wet paved surface using the standard planning factor. That figure assumes an ordinary wet runway with good drainage and no standing water. Standing water, slush or ice are a different regime where braking action can fall by half or more, and the generic +60% option offered here is only a starting point — reported braking action or a manufacturer's contaminated runway chart is far better evidence.

Does landing distance increase with density altitude as much as take-off distance?

No, about half as much. Landing is penalised roughly 5% per 1,000 ft of density altitude against roughly 10% for take-off. The reason is that landing distance depends on dissipating kinetic energy at a higher true airspeed, while take-off distance depends on that plus the loss of engine and propeller performance in thin air, so the take-off case is hit twice.

What tailwind is acceptable for landing?

Check the flight manual limitation first, because most light aeroplanes are only demonstrated to 10 kt of tailwind and that is a limitation rather than advice. Beyond the legality, the distance penalty is severe: a tailwind equal to 10% of your threshold speed adds 20%, four times what the same headwind takes off. If a runway only works with a tailwind, the reciprocal runway is almost always the better answer.

Should I use ground roll or the 50 ft distance to decide if a runway is long enough?

The 50 ft distance, always. The ground roll is only the part after touchdown, and every landing starts somewhere above the runway. The gap between the two is the air distance, and it is the portion most affected by approach accuracy. Using the ground roll to judge runway length is the single most common way of talking yourself onto a strip that is too short.

What weight should I enter, take-off weight or landing weight?

Landing weight, which is take-off weight minus the fuel you expect to burn on the way. On a long leg that difference is substantial and works in your favour. On a circuit or a short hop it is negligible, and in a diversion soon after departure you may be landing at close to take-off weight — which is exactly the situation where the extra distance is least expected.

Does the calculator account for reverse thrust or beta range?

No, and neither do most certified landing distances. Regulatory landing distance for many types is established without reverse thrust because it cannot be guaranteed available, so if you use it in practice you gain margin rather than lose it on a dry runway. On a slippery runway reverse contributes proportionately more, since it does not depend on tyre friction, but the factor method here makes no allowance either way.

How accurate are these correction factors?

They are deliberately conservative approximations intended for aeroplanes whose flight manuals do not publish charts for the actual conditions. They are widely taught and are the right tool for a quick assessment, but they are generic: your type may be more or less sensitive to any one of them. Where the flight manual gives a chart covering the condition, the chart is measured data for your aeroplane and should be used instead.

Why is my margin negative when the raw distance fits?

Because the safety factor is applied on top of the corrections. A distance of 2,145 ft fits comfortably inside a 3,000 ft runway, but multiplied by 1.43 it becomes 3,067 ft and no longer does. That is the factor doing its job: it is reserving the runway you would need on a day when the approach is a little fast, a little high, or the braking is a little worse than the book assumed.

References