Calculator #33

PAPI Indication Reference

Red and white bar combinations mapped to the glide-path indication a pilot sees, from the unit aiming angles.

About this calculator

Each PAPI unit shows white above its own setting angle and red below it. Enter the glide-path angle and the unit offsets, and this tool lists every indication with the angle band and the height band it covers at a chosen distance, then shows what a pilot at a given angle or height would see.

PAPI Settings

Position 1 is nearest the runway and has the highest setting. Defaults are ±30′ and ±10′ for four units, and ±15′ for two. Enter the values from your governing standard or the approved design.

Pilot Position

Used for the height bands and the height offset from the nominal path.
Angles are measured from the horizontal at the PAPI. A height is turned into an angle using the distance.
FAQ

PAPI Indication Reference: Frequently Asked Questions

Quick answers on how the PAPI light signals are worked out for a pilot position.

What does the PAPI Indication Reference calculator do?

It shows what a pilot sees from a PAPI bar at a given position. You enter the glide-path angle, the number of units, the unit setting offsets and the pilot's distance and eye angle or height. It returns the red and white pattern and what it means, the deviation from the glide path, the on-course band, and a table of all indications with a PDF report.

How does a single PAPI unit decide between white and red?

The beam is white above the unit's setting angle and red below it. The setting is θ + offset ÷ 60, with the offset in arcminutes, and the unit is white if the pilot's angle is greater than the setting. The colour change really happens over a sector of no more than about 3 arcmin, which the tool treats as a sharp boundary.

What do the four-unit PAPI signals mean?

4 white means well above the glide path, 3 white and 1 red means slightly above, 2 white and 2 red means on the glide path, 1 white and 3 red means slightly below, and 4 red means well below. For a two-unit APAPI, both white is above, one red and one white is on the path, and both red is below. ICAO Annex 14 words these as above, further above, below and further below, and the labels here are plain-language equivalents.

In what order do the units turn red as the aircraft descends?

The unit nearest the runway has the highest setting and the unit farthest has the lowest, so as a pilot descends the nearest unit turns red first and the farthest turns red last. That gives five indications for four units and three for two units. ICAO labels the units A to D from the farthest, so A is the lowest setting, while this tool numbers them from the nearest, so Pos. 1 is the highest setting.

What unit setting offsets does the calculator start with?

The defaults are ±30′ and ±10′ from θ for four units and ±15′ for two. They are entered values, not hard-coded, so take them from your governing standard or the approved design. For example, θ = 3.0° with four units gives settings of 3.50°, 3.17°, 2.83° and 2.50°, and an on-course band from 2.83° to 3.17°, which is 20′.

How are the angle bands turned into heights?

Height = d × tan(angle) and the offset from the nominal path is d × [tan(angle) − tan(θ)], where d is the distance from the PAPI. These are heights above the PAPI's own level on a flat approach. In the worked example, the on-course band is 49.5 m to 55.3 m at 1,000 m, and a pilot at 3.3° sees 1 red and 3 white, slightly above, with a deviation of +18′ or +5.3 m at 1,000 m.

What does this calculator not model?

It does not model the transition sector, beam cut-off, sensitivity to aircraft eye height or the minimum eye height over the threshold, and it assumes a flat approach. The setting values are entered rather than hard-coded, so check them against the standard your project follows. The installed bar must be verified in the field.

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