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Instrumentation — Pilot's Guide

How the instruments sense, compute, warn and fly · Airline pilot theory
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🎛️ Instrumentation

Every instrument answers one question (how fast, how high, which way, what attitude, what is wrong), and every one of them can be fooled. This guide follows the instruments from the simplest pressure gauges, through gyros and inertial systems, to the computers that fly the aircraft and the systems that warn the crew. For each one, learn how it senses and you will know how it fails.

38 chapters 1713 linked questions 🧮 10 calculators 📋 Cheat sheet Aircraft-independent
✈️ How to use this guide Each chapter carries the same number as its practice topic. Read the key idea first: most questions in this subject turn on one mechanism, what a capsule, a gyro or a filter actually responds to, and the errors follow from it.

🧰 Quick tools & cheat sheet play with the numbers

Ten small calculators for the sums this subject keeps asking, and a one-screen list of the figures worth knowing by heart.

🌡️ TAT to SAT

🔊 Speed of sound and Mach

🏔️ Altimeter: wrong subscale

❄️ Altimeter: temperature

🔥 Density altitude

🌀 DGI wander per hour

↩️ Rate one turn

📉 Glide path rate of descent

🧭 True to compass heading

🧲 Compass coefficients

📋 Cheat sheet — numbers worth knowing

IdeaFigure
🌬️ PressuresPitot = static + dynamic · ASI, Machmeter: pitot + static · altimeter, VSI: static only
🚫 BlockagesPUDSOD · static blocked: altimeter freezes, VSI to zero
⛰️ Altimeter30 ft per hPa · 4 ft per 1000 ft per °C · high to low, look out below
🌡️ TemperatureRam rise ≈ (TAS/100)² · SAT = TAT ÷ (1 + 0.2 Kr M²), in K
🔊 MachLSS = 38.95 √T (K) · 661 kt at ISA sea level · M = TAS ÷ LSS
🧭 CompassAccelerate → nearer pole · NH: undershoot north, overshoot south
🌀 Gyro wanderEarth rate 15 sin lat °/h · transport = Δlong/h × sin lat
↩️ TurnsRate one 3°/s · bank ≈ TAS/10 + 7 · ball inside = slip
🛰️ InertialSchuler 84.4 min · earth rate 15.04°/h · drift ≈ 1–2 NM/h
📶 Radio altimeter4200–4400 MHz · ±50 MHz 300/s · 0–2500 ft
🛬 Autoland1500 ft 2nd A/P + FLARE arm · 800 ft · 50 ft flare · 27 ft retard · 2 s A/T off
🎯 CategoriesI ≥ 200 ft/550 m · II ≥ 100 ft/300 m · IIIA < 100 ft/175 m · IIIB < 50 ft/50 m · IIIC none
⛰️ GPWS50–2450 ft · 7 modes · EGPWS 40–60 s caution, 20–30 s warning
🛩️ TCAS1030/1090 MHz · TA ~40 s · RA ~25 s · RAs vertical · no RAs below ~1000 ft
📼 RecordersFDR 25 h (10 h small turbine) · CVR 2 h · stop 5 min after shutdown

1 Characteristics and General Definitions Chapter 1

Before the instruments themselves: the units they read in, how a dial trades range against readability, where instruments sit on the panel, and what their colours mean.

🎯 1 NM = 6080 ft = 1852 m🎯 1013.25 hPa = 29.92 inHg🎯 Basic T🎯 Parallax🎯 Colour code
💡 Key idea

An instrument is read in a hurry, by a tired eye. Everything in this chapter — the standard layout, the eye reference point, the colour code — exists so that a pilot finds the right instrument in the same place and reads it correctly at a glance.

Units worth knowing

QuantityValue
Nautical mile6080 ft · 1852 m (statute mile 5280 ft · 1609 m)
Standard pressure1013.25 hPa = 1013.25 mb = 29.92 inHg = 760 mmHg = 14.7 psi
Standard sea level temperature+15°C = 288 K = 59°F
Gallons1 imperial gallon ≈ 1.2 US gallons

The Basic T

Airspeed Attitude Altimeter Heading turn coordinatorvertical speed
Attitude top centre, airspeed left, altitude right, heading below. An electronic PFD keeps the same arrangement: speed tape left, altitude tape right.

Range, readability and colour

  • 📐 A wide range on a small dial leaves little movement per unit, so fine reading suffers. A VSI uses a logarithmic scale to spread out the small, common rates.
  • 👁️ Instruments are designed for an eye reference point. Viewing from the side misaligns pointer and scale: parallax.
  • 🖥️ With glass displays, only the screens are on the flight deck; the computers live in the avionics (E&E) bay.

Green

Normal operating range.

Yellow / amber

Caution range.

Red

Warning, unsafe range or limit.

Electronic displays add white (present status) and blue (temporary situation).

2 Pitot and Static Sources Chapter 2

Three of the four classic flight instruments live on two pressures: the still air around the aircraft, and the extra pressure of the air rushing at it.

🎯 Pitot = static + dynamic🎯 Static vents both sides🎯 Position error🎯 Manoeuvre-induced error🎯 Alternate static
💡 Key idea

Dynamic pressure cannot be measured on its own, because static pressure is always there with it. Instruments measure pitot and static and subtract: dynamic = pitot − static.

Pitot tube pitot (total) Static vents static ASI · Machmeter Altimeter · VSI ASI and Machmeter take static too
Static only: altimeter and VSI. Pitot and static: airspeed indicator and Machmeter.

Sources and their errors

  • 🎯 The pitot faces the airflow, outside the boundary layer, heated and drained. A static opening is at right angles to the flow.
  • 📍 Position (pressure) error: the sensed pressure differs from the true value because of the airflow at the source. It depends on source position, airspeed and attitude (angle of attack), so flight manuals list it by flap setting.
  • ↔️ Static vents on both sides, cross-connected, cancel most yaw and sideslip error. Pitot systems are not cross-coupled; they are only compared (≈ 5 kt warning).
  • ⏱️ Manoeuvre-induced error: brief pressure changes at the vents plus line delay; worst at pitch changes, go-arounds and in rough air; about 3 s at low level, 10 s at 30 000 ft, longer for the VSI. Fly manoeuvres on the gyro instruments.
⚠️ Alternate static Usually reads lower than ambient (suction), so altimeter and ASI over-read. Corrections are in the flight manual. A cabin source works only in an unpressurised aircraft. With no alternate source, breaking the VSI glass lets cabin air into the static system.
✅ Preflight Covers and plugs removed and stowed; holes clear; pitot heat checked briefly (feel it, ammeter rise) and switched off again — and never with the cover on.

3 Air Temperature Measurement Chapter 3

The outside air temperature feeds TAS, Mach, density, altimeter corrections and engine thrust — but a moving probe always reads warm.

🎯 SAT · RAT · TAT🎯 Ram rise ≈ (TAS/100)²🎯 Recovery factor🎯 SAT = TAT ÷ (1 + 0.2 Kr M²)🎯 Kelvin
💡 Key idea

Bringing air to rest heats it. Total air temperature = SAT + the full ram rise. A probe recovers a fraction of the ram rise, its recovery factor (about 0.98 for a modern TAT probe).

SAT (COAT)

The undisturbed air temperature: what the meteorologist means.

RAT (IOAT)

What the probe reads: SAT + Kr × ram rise.

TAT

Air brought fully to rest adiabatically: SAT + ram rise.

Worked example — finding SAT

Indicated −30°C (243 K), M 0.78, Kr 1.0: SAT = 243 ÷ (1 + 0.2 × 0.78²) = 243 ÷ 1.1217 = 216.6 K = −56°C. Always work in kelvin.

Rapid rule: ram rise ≈ (TAS ÷ 100)². At 400 kt that is 16°C, so −8°C indicated means about −24°C SAT.

  • 🔩 Light aircraft: a bimetallic helix (invar and brass) through the windscreen — direct reading, no electrical output.
  • 🧪 Large aircraft: a platinum resistance TAT probe that turns the air through a right angle to throw out water, bleeds off the boundary layer, and has a self-compensating heater (error under 1°C). Aspirated probes draw air past the sensor on the ground with engine or APU bleed.
  • ❄️ ISA: +15°C at sea level, −1.98°C per 1000 ft to −56.5°C at 36 090 ft.

4 The Airspeed Indicator (ASI) Chapter 4

A capsule fed with pitot pressure, sitting in a case of static pressure, calibrated to read true airspeed only at ISA sea level.

🎯 IAS → CAS → EAS → TAS🎯 Colour arcs🎯 Blockages: PUDSOD🎯 Leaks under-read
💡 Key idea

The ASI measures dynamic pressure, ½ρV². It is calibrated for 1.225 kg/m³, so at altitude, in thinner air, it under-reads TAS — which is exactly why stall and structural speeds are given as IAS.

StepCorrect for
IAS → CASInstrument and position error (correction card)
CAS → EASCompressibility — subtract; ignored below about 300 kt TAS
EAS → TASDensity — TAS = EAS ÷ √(ρ/ρ₀)
white: VS0 → VFE green: VS1 → VNO yellow: VNO → VNE VNE
A light twin also has a red line at VMCA and a blue line at VYSE. VLE and VLO are not marked.
⚠️ Blockages — "PUDSOD" Pitot blocked: Under-reads in the Descent (over-reads in the climb — it acts like an altimeter). Static blocked: Over-reads in the Descent (under-reads in the climb). Pitot blocked but drain open: reading falls to zero. A pitot leak under-reads.

5 The Pressure Altimeter Chapter 5

An aneroid barometer graduated in feet: an evacuated capsule in a case of static pressure, read against the subscale setting chosen by the pilot.

🎯 30 ft per hPa🎯 4 ft / 1000 ft / °C🎯 High to low, look out below🎯 QFE · QNH · 1013🎯 Servo altimeter
💡 Key idea

The altimeter only knows pressure. Flying towards lower pressure, or into colder air, the aircraft is lower than the altimeter says: from high to low, look out below.

SettingReads on the groundReads in flight
QFEZeroHeight above the aerodrome
QNHAerodrome elevationAltitude (true only in ISA temperatures)
1013.25Pressure altitudeFlight level
Worked examples — pressure and temperature

Indicated 5000 ft with 1020 hPa set; actual QNH 1002: error 18 × 30 = 540 ft, true altitude about 4460 ft.

Indicated 16 000 ft, OAT −30°C. ISA there is −17°C, so ISA −13: correction 16 × 13 × 4 ≈ 830 ft, true altitude about 15 170 ft.

Density altitude ≈ pressure altitude + 120 ft per °C of ISA deviation: 3000 ft at +20°C (ISA +11) ≈ 4320 ft.

  • ⚙️ Errors: instrument (grows with altitude), position (grows with Mach), manoeuvre-induced, barometric, temperature, lag (reads high in a descent). A vibrator overcomes friction.
  • 🧲 The servo altimeter senses the capsule with an electromagnetic E and I bar pick-off and drives the counters by servo motor: little load on the capsule, so much less friction, lag and error, especially at high altitude.
  • 🚫 Static blocked: the altimeter freezes at the blockage altitude (under-reads climbing, over-reads descending). A static leak into a pressurised cabin shows cabin altitude.

6 The Vertical Speed Indicator Chapter 6

A capsule fed directly with static pressure, in a case fed through a restriction: the pressure difference between them measures the rate of change.

🎯 Capillary + orifice🎯 Log scale🎯 Lag🎯 IVSI dashpots🎯 ROD ≈ 5 × GS
💡 Key idea

In a climb the case "lags behind": the metering unit lets the case pressure follow the falling static pressure slowly, so the capsule (at current static) is lower than the case and the pointer shows a climb. Level off, and the two equalise.

  • 🌡️ The capillary and orifice together keep the reading correct with altitude and temperature.
  • ⏳ Errors: lag (worst after a long, steep climb), manoeuvre-induced, and position error during sudden speed changes such as the take-off run.
  • ⚡ The instantaneous VSI adds dashpot accelerometers that pump air at once on entering a climb — but it shows false climbs in steep turns and is more sensitive in turbulence.
  • 🚫 Static blocked: the VSI returns to zero.
Worked example — glide path rate of descent

On a 3° path, rate of descent ≈ 5 × ground speed: 100 kt → about 500 ft/min; 140 kt → about 700 ft/min.

7 The Machmeter Chapter 7

An airspeed capsule and an altitude capsule linked through a ratio arm: Mach number from a pressure ratio, with no density error at all.

🎯 M = TAS ÷ LSS🎯 LSS = 38.95 √T🎯 (Pt − Ps) ÷ Ps🎯 Climb at CAS → Mach rises🎯 Descend at Mach → CAS rises
💡 Key idea

The speed of sound depends only on temperature. Climbing at constant CAS, TAS rises and the speed of sound falls, so Mach number rises fast — which is why a jet climbs at CAS and then changes to Mach.

Manoeuvre (below the tropopause)TASCASMach
Climb at constant CAS↑—↑ faster
Climb at constant Mach↓↓ faster—
Descend at constant Mach↑↑ faster—
Climb at constant Mach, isothermal layer—↓—
Level, constant CAS, temperature changeschanges with √T——
Worked examples

Sea level, ISA −10 (278 K): LSS = 38.95 × √278 ≈ 649 kt.

FL400 ISA (216.5 K): LSS ≈ 573 kt, so 450 kt TAS is M 0.79.

  • ⚠️ Errors: instrument, position and manoeuvre-induced only. Static blocked climbing → under-reads; pitot blocked climbing → over-reads.
  • 🔀 A combined Mach/airspeed indicator carries the errors of both, and its striped needle shows VMO (a CAS) up to the altitude where MMO takes over.

8 Air Data Computer Chapter 8

One computer turns pitot, static and temperature into every air-data quantity the aircraft needs, corrected once and sent to everyone.

🎯 Inputs: pitot, static, TAT🎯 Outputs: altitude, CAS, Mach, TAS, SAT, V/S🎯 BITE🎯 Standby instruments direct
💡 Key idea

Altitude, CAS and Mach need pressures only; TAS and SAT also need temperature. Position and compressibility corrections are applied once inside the ADC and reach every output.

  • ✈️ Each pilot's instruments have their own ADC and sources; the standby altimeter and ASI take their own pitot and static directly. Three independent systems in all.
  • 📡 Users: autopilot, FMS, transponder (altitude reporting), flight recorder, GPWS and others.
  • 🔁 Analogue ADCs used servo-driven shafts and synchros; digital ADCs use A/D converters. If one fails, the other is selected; there is no manual input. Failure shows as a flag.
  • 🧪 BITE: power-up, continuous (about once a second) and maintenance.

9 Terrestrial Magnetism Chapter 9

The earth behaves like a weak bar magnet whose poles wander; a compass uses only the horizontal part of its field.

🎯 Variation, isogonals, agonic line🎯 Dip, isoclinals🎯 H = T cos dip🎯 Hard and soft iron
💡 Key idea

H, the horizontal component, is the directive force. It is strongest at the magnetic equator (dip 0°) and vanishes at the magnetic poles (dip 90°) — so a magnetic compass becomes useless near the poles.

H = T cos θ T (total field) Z = T sin θ θ dip
Dip is the angle between the lines of force and the horizontal.
  • 🔴 A magnet's north-seeking pole is "red"; the earth's north magnetic region is therefore a "blue" pole. Like poles repel; lines of force run red to blue.
  • 🧭 Variation: angle between true and magnetic north; isogonals join equal variation, the agonic line zero. It changes slowly (secular change) as the poles move.
  • ⚙️ Hard iron keeps magnetism (cobalt or chromium steel); soft iron magnetises easily and loses it.
  • 🌩️ Magnetic storms (sunspot cycle) can shift variation by over 5° in polar regions, for up to about three days.

10 The Direct Indicating Compass Chapter 10

Short magnets on a pendulous suspension, swimming in liquid: simple, independent of power, and wrong whenever the aircraft accelerates or turns.

🎯 Horizontal, sensitive, aperiodic🎯 Deviation card🎯 Accelerate: towards nearer pole🎯 Undershoot north, overshoot south🎯 Liquid swirl
💡 Key idea

The magnet assembly hangs with its CG offset from the pivot (towards the equator) to balance dip. Any acceleration acts on that offset CG and twists the magnets: that is where acceleration and turning errors come from.

Acceleration errors

Greatest on east and west, none on north and south, none at the magnetic equator. Accelerating: apparent turn towards the nearer pole. Decelerating: towards the further pole.

Turning errors

Greatest turning through north or south at high latitude. NH through north: compass sluggish — roll out early. Through south: lively — roll out late. Liquid swirl adds to the error through the nearer pole.

Worked example — acceleration on 270° in the northern hemisphere

Accelerating on 270°: apparent turn towards north (the nearer pole), so the compass reads more than 270°. Decelerating on 270° in the southern hemisphere: apparent turn towards the further pole, north.

  • 🔧 Requirements: horizontality (pendulous suspension, small residual dip), sensitivity (strong short magnets, iridium pivot, liquid buoyancy), aperiodicity (mass near the centre, damping liquid).
  • 🧾 Deviation is the angle between magnetic and compass north, found by a compass swing with engines and services running, and recorded on a deviation card.

11 Gyroscopes Chapter 11

A fast rotor keeps its axis fixed in space (rigidity) and, pushed, moves at 90° to the push (precession). Every gyro instrument is built on those two properties.

🎯 Rigidity ∝ inertia × rpm🎯 Precession ∝ torque ÷ rpm🎯 Drift and topple🎯 Earth rate 15 sin lat🎯 Degrees of freedom
💡 Key idea

Precession appears 90° on from the point of the push, in the direction of rotation, and lasts only while the torque acts. Doubling the rotor speed halves the precession rate.

InstrumentGyro typeSpin axisDegrees of freedom
Artificial horizonEarth (tied to the vertical)Vertical2
Directional gyroTiedHorizontal2
Turn indicatorRateHorizontal, athwartships1
  • 🔄 Wander: drift (horizontal plane) and topple (vertical). Real wander is relative to space (friction, imbalance); apparent wander is the earth turning under a fixed axis.
  • 🌍 Earth rate on a horizontal gyro = 15° × sin latitude per hour: 0 at the equator, 15°/h at the pole. A north-pointing axis at the equator stays on north.
  • 💡 Ring laser and fibre-optic gyros have no rotor. Suction gyros need no electrics but lose speed at altitude; electric gyros are heavier and costlier.
  • 🔒 Gimbal lock: two gimbals align and a freedom is lost; a gimbal flip motor can prevent it.

12 Directional Gyro Indicator (DGI) Chapter 12

A horizontal-axis gyro that holds a heading steady through turns — but knows nothing of north and must be reset to the compass.

🎯 Earth rate −15 sin lat (NH)🎯 Latitude nut🎯 Transport wander🎯 Gimballing error🎯 Caging
💡 Key idea

Total apparent wander = earth rate + transport wander − latitude nut correction. In the northern hemisphere earth rate makes an uncorrected DGI read lower and lower.

Worked example — wander rates

Stationary at 60°N, uncorrected: 15 × sin 60 = 13°/h, decreasing.

Flying east along 60°N at 300 kt: change of longitude = 300 ÷ (60 × cos 60) = 10°/h, transport wander = 10 × sin 60 ≈ 8.7°/h.

Nut set for 50°N, used at 30°N: nut gives +11.5°/h, earth rate −7.5°/h: net about +4°/h.

  • ⚙️ Suction DGIs: air jets spin the rotor and tie its axis to the yawing plane. Limits: about ±55° (air) or ±85° (electric) in pitch and roll before it topples.
  • 📐 Gimballing error appears only when banked, varies as a double sine curve, and disappears when level.
  • 🔒 Caging squares the gimbals so the card can be set, and protects the gyro in large manoeuvres.

13 The Artificial Horizon Chapter 13

A vertical-axis earth gyro kept upright by pendulous vanes (air) or levelling switches and torque motors (electric).

🎯 Pendulous vanes🎯 Acceleration: false climb🎯 Turning errors pattern🎯 Cut-out switches🎯 Standby horizon
💡 Key idea

Anything that erects to gravity also erects to acceleration. The air-driven horizon shows a false climb and bank on take-off acceleration and errors in turns; electric horizons cut out erection under acceleration and in bank.

Classic horizon, steady turnPitchBank
After 90°Nose upToo little
After 180°Nose upCorrect
After 270°Nose upToo much
After 360°CorrectCorrect
  • ⚡ Electric horizon: faster rotor, less pendulosity, erection cut-outs (pitch about 0.18 g, roll about 10°), fast erection knob — use only in steady unaccelerated flight.
  • 🔋 The standby horizon has its own gyro and its own power supply.
  • ✅ Before taxi: the bar settles level and stays level while taxiing; uncage at least five minutes before take-off.

14 The Turn and Slip Indicator Chapter 14

A one-gimbal rate gyro held by a spring shows the rate of turn; a ball in a curved tube shows whether the turn is balanced.

🎯 Rate one = 3°/s🎯 Bank ≈ TAS/10 + 7🎯 Slip: ball inside🎯 Skid: ball outside🎯 Taxi check
💡 Key idea

Step on the ball. The ball shows the resultant of gravity and sideways acceleration. Inside the turn = slip (too much bank); outside = skid (too little bank).

NeedleBallMeaning
RightRightRight turn, too much bank (slip)
RightLeftRight turn, too little bank (skid) — or a taxi turn to the right
LeftRightLeft turn, too little bank (skid)
LeftLeftLeft turn, too much bank (slip)
Worked example — rate one

120 kt: bank ≈ 120 ÷ 10 + 7 = 19°. A rate one turn takes 2 minutes for 360°; its radius ≈ TAS ÷ 188 NM (240 kt → about 1.3 NM radius). At a given bank, rate of turn falls as TAS rises and does not depend on weight.

  • ⚙️ Rotor slow → under-reads; rotor fast → over-reads. Looping-plane movement in a steep turn makes it over-read.

15 The Turn Co-ordinator Chapter 15

A turn indicator whose gimbal is tilted about 30° up, so it senses the roll into a turn as well as the turn itself.

🎯 Gimbal tilted 30°🎯 Rate of roll + rate of turn🎯 No pitch information
💡 Key idea

It shows a turn the moment the wing goes down, before the heading changes. Once the turn is steady it shows the rate of turn. The little aircraft symbol is not a bank indicator, and there is no pitch information.

16 Aircraft Magnetism Chapter 16

The aircraft's own iron and wiring bend the compass: permanent (hard iron) and induced (soft iron) magnetism, resolved into coefficients and swung out.

🎯 MH = CH + deviation🎯 P, Q, R🎯 Coefficients A, B, C🎯 When to swing
💡 Key idea

True ← variation → Magnetic ← deviation → Compass. "East is least, west is best" going from true to magnetic to compass: subtract easterly, add westerly.

Worked example — true to compass

True 247°, variation 8°W, deviation 11°E: magnetic = 247 + 8 = 255°; compass = 255 − 11 = 244°.

Swing results N +3, E +5, S −1, W −1: A = (3 + 5 − 1 − 1) ÷ 4 = +1.5°; B = (E − W) ÷ 2 = +3°; C = (N − S) ÷ 2 = +2°.

Coefficient A

Constant on all headings; corrected by rotating the compass or detector.

Coefficient B

sin heading: greatest east and west (fore-and-aft P).

Coefficient C

cos heading: greatest north and south (athwartships Q).

Swing after a lightning strike, long storage on one heading, a big change of magnetic latitude, new equipment near the compass, or a heavy ferrous load. Residual limits after correction: ±10° direct reading, ±1° remote indicating (operating rules).

17 Remote Indicating Magnetic Compass Chapter 17

A flux valve in the wing tip senses the earth's field; a gyro gives short-term stability; a slow precession loop marries the two.

🎯 Flux valve: three spokes🎯 Output 2 × excitation🎯 Precession ≈ 3°/min🎯 Rapid sync🎯 DG mode
💡 Key idea

Gyro for the short term, magnet for the long term. In a turn the gyro and the flux valve change together, so no error signal; on a steady heading any gyro drift produces an error signal that precesses it back.

Flux valve Error detector Amplifier Precession m. Gyro gyro shaft drives the detector rotor and the heading card
The flux valve's AC-saturated cores give a second-harmonic signal (800 Hz from 400 Hz excitation) proportional to the direction of H.
  • 🪢 The detector hangs pendulously on a Hooke's joint (about ±25°), in oil for damping, fixed in azimuth.
  • ⚡ Rapid synchronisation speeds up the slow 3°/min correction at switch-on; the annunciator shows whether the system is synchronised.
  • 🔀 DG (free gyro) mode cuts the slaving at high latitude or with a flux valve fault.

18 Inertial Navigation Systems Chapter 18

Accelerometers on a gyro-stabilised platform, integrated twice: velocity, then distance — the first self-contained source of all navigation data.

🎯 Integrate twice🎯 Level + true north🎯 Schuler 84.4 min🎯 dlong = dep × sec lat🎯 ALERT 2 min
💡 Key idea

A tilted accelerometer senses gravity and takes it for motion. So the platform is levelled, aligned to true north by gyrocompassing, and Schuler-tuned so it stays level as the aircraft moves round the earth.

Alignment stageWhat happens
Warm-upFluid-filled parts to temperature, 3–4 min
CoarseLevelled and aligned to 1–2° in seconds
Fine levellingAccelerometers driven to zero output, about 1–1½ min, to 6 seconds of arc
GyrocompassingThe east gyro senses earth rate until aligned to true north
  • 🕰️ Errors: bounded ones oscillate with the 84.4-minute Schuler period; unbounded ones grow with time (distance gone from a ground speed error). Typical drift 1–2 NM/h.
  • 🧮 Second integration north = change of latitude; east = departure, turned into change of longitude by × sec lat (120 NM at 60°N = 240′ = 4°).
  • 🔔 ALERT: AUTO — steady at 2 min, out at track change; MANUAL — steady at 2 min, flashing from 30 s until changed. HOLD freezes the display over a fix for updating.

19 Inertial Reference System Chapter 19

Strapdown: three laser gyros and three accelerometers fixed to the airframe, with the platform kept in mathematics.

🎯 Sagnac effect🎯 Lock-in → dither🎯 Inputs: position, baro alt, TAS🎯 Establishing the trihedron
💡 Key idea

Two laser beams go round a glass triangle in opposite directions. Rotation lengthens one path and shortens the other; the frequency difference measures the rate. At very low rates the beams lock together, so a dither motor shakes the ring.

  • 📥 Inputs besides its sensors: initial position (it only measures change), barometric altitude (to stabilise the vertical channel) and TAS (for wind).
  • 📤 Outputs: attitude, true and magnetic heading (stored variation), body rates and accelerations, velocities, position, wind, flight path angle.
  • 🧭 Alignment finds true north and latitude from earth rate while stationary; longitude must be entered. Accelerometers level it. Do not move the aircraft.
  • ✅ Advantages: no spin-up, insensitive to g, reliable, tiny drift — the biggest errors are the operator's.

20 Radio Altimeter Chapter 20

True height above whatever is directly below, from a frequency-modulated signal bounced off the ground.

🎯 4200–4400 MHz (SHF)🎯 ±50 MHz, 300 times/s🎯 0–2500 ft🎯 Reads zero at touchdown
💡 Key idea

FMCW: the transmitted frequency keeps sweeping, so the echo returns at a frequency sent a moment earlier. The difference is proportional to height.

  • 📡 Separate flush horn antennas transmit and receive (continuous transmission); about 1 W; the wide beam still covers the vertical at about ±30° pitch and ±60° roll.
  • 🛬 Calibrated for cable delay and antenna height so that, in the landing attitude, it shows wheel height. CAT II/III decision heights use it.
  • 🔗 Users: GPWS, autopilot and autoland flare, flight director, ACAS inhibitions.

21 Flight Management System Chapter 21

The FMS flies the route laterally (LNAV) and vertically (VNAV), from a performance database and a navigation database the crew checks before every flight.

🎯 Dual · independent · single mode🎯 Two 28-day databases🎯 IDENT → POS INIT → RTE → PERF INIT🎯 Cost index
💡 Key idea

Cost index = time-related cost ÷ fuel cost. Zero gives minimum fuel (maximum range cruise); a high index buys time with fuel.

PageWhat it holds
IDENTModel, programme, drag and fuel flow factors, database cycle
POS INITIRS position (gate or airfield datum), heading reference, time check
RTEOrigin, destination, flight number, company route, activate
PERF INITWeights, fuel, reserves, cost index, cruise altitude, step size
  • 🔁 Dual mode is normal (both FMCs compare); independent has no cross-check; single after a failure.
  • 🧭 Position: at least one IRS; in flight blended with DME, VOR and GPS; on the ground IRS only. After a long delay with a map shift, realign.
  • 📉 VNAV climb: climb thrust within SID constraints, then economy speed; UNABLE NEXT ALT → choose a slower, steeper speed. Non-precision path ends 50 ft over the threshold.
  • 🔆 Annunciators: MSG and DSPY and OFST white, FAIL amber.

22 Electronic Flight Information Systems Chapter 22

Two screens per pilot — attitude (PFD/EADI) and navigation (ND/EHSI) — drawn by symbol generators, with a spare in the middle.

🎯 VOR · ILS · MAP · PLAN🎯 Colour code🎯 DH alert🎯 73°N–65°S magnetic🎯 VOR dot = 5°
💡 Key idea

MAP is the working mode; PLAN is the checking mode. MAP is a moving map oriented to track; PLAN is a static, true-north-up map for reviewing the route — no weather and no wind there.

ColourMeaning
GreenEngaged modes, dynamic conditions
WhitePresent status, scales, armed modes
MagentaCommands, fly-to symbols, active route
CyanNon-active and background data, sky
AmberCautions, faults, flags
RedWarnings; heaviest weather
  • 🔔 DH: chime from DH + 50 ft; at DH the marker flashes and turns amber; DH RST cancels it.
  • 🗺️ MAP: 45° of arc either side of track; active waypoint magenta star; white trend vector in turns; green altitude arc in climb and descent.
  • 🌦️ Weather radar shows except in PLAN and full-rose VOR/ILS: green, yellow, red, magenta for turbulence. Half-scale arc shown: 10 NM arc means 20 NM range.
  • 🚩 Failed ILS or radio altimeter data: yellow flags. WXR/MAP RANGE DISAGREE if the ranges differ.

23 Basic Computers Chapter 23

What sits inside every box in the avionics bay: a CPU, memory and input/output, all working in binary.

🎯 ALU · registers · clock🎯 ROM vs RAM🎯 Volatile vs non-volatile🎯 A/D and D/A
💡 Key idea

RAM forgets, ROM remembers. RAM can be written and read but is normally volatile; ROM (and PROM, EPROM, EEPROM) keeps its program without power.

Worked example — binary

1011₂ = 8 + 0 + 2 + 1 = 11. 6 = 110₂. Eight bits hold 2⁸ = 256 values (0–255).

  • 🧠 CPU = ALU (arithmetic and logic) + shift registers (the accumulator holds the data in work) + control unit (crystal clock).
  • 💾 Permanent storage: flash (rewritable indefinitely), optical discs (limited rewrites), magnetic disks.
  • 🔌 Sensors are analogue, so an A/D converter feeds the computer; a D/A converter drives analogue devices. Current practice: one dedicated computer per system.

24 Future Air Navigation Systems (FANS) Chapter 24

Where there is no radar or VHF: GNSS position plus satellite and HF data link, giving ATC continuous positions and the pilot a direct line to the controller.

🎯 ACARS🎯 CPDLC · ADS-C🎯 AFN logon🎯 FANS A oceanic · FANS B dense🎯 Uplink / downlink
💡 Key idea

Better positions and better communications allow smaller separations. Procedural HF control with reports every 10° of longitude (every 30–60 minutes) needs huge gaps; FANS closes them.

  • 📻 VHF is line of sight (about 200 NM at FL300). HF fades and is noisy, so a radio operator relays and SELCAL calls the crew.
  • 🛰️ Geostationary SATCOM covers to about 80° latitude; ACARS went VHF → SATCOM → HF (2001) to close the polar gap.
  • 🔐 Logon: the pilot enters the ATSU's four-letter address; ATSU acknowledges, sends a connection request, aircraft confirms (AFN). Transfers are then automatic. Aircraft → ground is always a downlink.
  • 🧾 ATM messages: clearances, D-ATIS. AOC messages: OOOI (out, off, on, in), load sheets, weather, maintenance.
  • ⛔ An ATSU may not combine AFN with ADS.

25 Flight Director Systems Chapter 25

The FD computes what the pilot should do and shows it as command bars: fly the aircraft symbol into the bars.

🎯 Raw vs computed🎯 TO/GA: 10° down → 15° up🎯 V2 + 20🎯 Gain scheduling🎯 Comparator
💡 Key idea

Raw data says where you are; computed data says what to do. The FD uses the rate of change of deviation to command a smooth intercept. If the FD fails, the raw CDI and glide slope pointer may still be good.

Phase (typical twin jet)FD command
Take-off roll10° nose down, wings level; 15° nose up from 60 kt
After lift-off15° up until climbing, then MCP speed (V2) + 20 kt
Engine failureBelow V2: V2 · V2 to V2+20: speed at failure · above: V2+20
Go-around15° up (13° with one engine), hold ground track, then manoeuvring speed
  • 🚩 Flags: GYRO (vertical reference), ATT or FD (computer, amplifier or ADI), GS, NAV, compass power and DG mode.
  • 📉 Gain scheduling softens glide slope commands near the runway: 1° is about 608 ft at 6 NM but 54 ft at ½ NM. Time → markers → radio altimeter.
  • ⚖️ Comparator (both FDs on, no autopilot, TO/GA or APP below 800 ft) removes the bars if the two disagree.

26 Autopilot Chapter 26

Inner loops keep the aircraft stable; outer loops steer it to a height, a heading or a route; auto-trim keeps it in trim so that letting go is gentle.

🎯 Inner vs outer loop🎯 Roll primary, pitch secondary🎯 Fail-safe🎯 Synchronisation🎯 One mode per channel
💡 Key idea

The inner loop is a closed loop: sense the disturbance (rate gyro), compute, move the surface (servo), sense the response, re-centre. Every mode — ALT HOLD, HDG SEL, LNAV — is an outer loop that tells the inner loop where to go.

Rate gyro Transducer Signal processor Servomotor aerodynamic feedback: the aircraft's response is sensed again outer loop modes feed in here
  • ⏱️ An autopilot corrects in about 50 ms; a pilot takes about 200 ms just to notice.
  • 🛡️ Fail-safe: actuator authority or rate limited so the pilot can always override; torque limits, slipping clutches.
  • ✋ Engagement needs no force on the wheel and the stab trim cut-out at normal; control pressure in CMD overrides to CWS.
  • 🔄 Synchronisation washes out standing signals so engagement is smooth; auto-trim (pitch only, autopilot engaged) prevents a snatch on disengagement.
  • 🧭 Over a VOR the autopilot holds the drift-corrected heading through the cone of confusion, then reverts to VOR. LNAV captures within 3 NM, or on an intercept of 90° or less.
  • 📏 Typical limits ±10° pitch, ±30° bank; single pilot IFR or night needs at least ALT HOLD and HDG (two-axis).

27 Autoland Chapter 27

Two or three autopilots, two radio altimeters and a category 3 ILS: the aircraft flares, de-crabs, lands and rolls out on its own.

🎯 Fail-passive = LAND 2🎯 Fail-operational = LAND 3🎯 1500 · 800 · 400 · 50 · 27 ft🎯 Alert height🎯 CAT I–IIIC
💡 Key idea

Fail-passive: a failure ends the autoland safely. Fail-operational: a failure does not stop it. Above alert height a failure means a go-around; below it a fail-operational system carries on.

LOC + G/S captured 1500 ft: 2nd A/P · FLARE arm · LAND 2/3 800 ft: last chance for 2nd A/P 400–330 ft: nose-up trim bias 50 ft: flare 27 ft: retard touchdown · roll-out
Typical sequence. The flare uses the rate of change of radio height, taking the sink rate from 10–12 ft/s to 1–2 ft/s.
CategoryDecision heightRVR
I≥ 200 ft≥ 550 m (or visibility 800 m)
II< 200 ft, ≥ 100 ft≥ 300 m
IIIA< 100 ft or none≥ 175 m
IIIB< 50 ft or none< 175 m, ≥ 50 m
IIICnoneno limit
  • 📡 One radio altimeter failed → fail-passive at best. In fail-passive, the controls follow the autopilot asking for the least movement.
  • 🎯 LOC captured by ½ dot, G/S at 2/5 dot (from below preferred). Align mode de-crabs below about 100 ft; roll-out steers on the localizer.
  • 🔁 A/P go-around needs dual A/Ps and FLARE armed: 15° up, hold ground track, flap manoeuvring speed. Single A/P approach: 1 CH, no flare, no A/P go-around.

28 Autothrottle Chapter 28

The thrust half of automatic flight: N1, EPR or speed, from the start of the take-off roll to two seconds after touchdown.

🎯 THR HLD at 84 kt🎯 ARM above 400 ft🎯 RETARD at 27 ft🎯 GA: reduced, then full🎯 Flex: assumed temperature🎯 FADEC
💡 Key idea

Pitch holds one thing and thrust another. In LVL CHG the autopilot holds speed with pitch while the autothrottle sets N1; in ALT HOLD the autopilot holds height and the autothrottle holds speed.

  • 🛫 Take-off: TO/GA on the ground → N1; THR HLD at about 84 kt (the pilot can still move the levers); ARM after 400 ft and about 18 s.
  • ⚙️ Engine failure: in N1 mode the dead engine's lever comes back to the other's; in speed mode both levers advance.
  • 🛬 Approach speed VREF + 5 — the A/T handles gusts itself. RETARD 2½ s after FLARE or at 27 ft; disengages 2 s after touchdown.
  • 🔁 Go-around armed below 2000 ft: first TO/GA gives reduced thrust (1000–2000 fpm), second press full GA thrust.
  • 🌡️ Reduced (flex) take-off: enter an assumed temperature above the actual one.
  • 🖥️ FADEC: two channels per engine, own alternator above about 12% rpm, limit protection, start control; the FMV turns orders into fuel flow; with fixed detents, between two detents the higher rating applies.

29 Yaw Dampers Chapter 29

Swept-wing jets at altitude Dutch roll; a yaw damper applies small, quick rudder inputs at just the right moment to stop it.

🎯 Lateral > directional stability🎯 Worse at altitude🎯 Phase advance🎯 Bandpass filter🎯 3–4° rudder
💡 Key idea

Only the Dutch roll frequency reaches the rudder. A filter passes that low frequency and blocks steady turns and vibration, so the yaw damper damps the oscillation without fighting the pilot's turns.

  • 🔁 Yaw → the advancing wing lifts (more so with sweep) → roll → induced drag yaws back → and round again.
  • 🏔️ At high TAS a given yaw rate changes the fin's angle of attack less, so natural damping is weaker. Without a yaw damper, descend.
  • ⏩ Phase advance applies rudder at the maximum yaw rate, not when the fin is already returning the aircraft.
  • 🧪 Test: hold left → indicator left then centre; release → right then centre. The failure light covers hydraulics, electrics, logic and gyro input; switch the failed damper off.

30 Control Laws Chapter 30

How hard the automatics may push: speed limiting and mode reversion, and, in fly-by-wire aircraft, protections that keep the aircraft inside its envelope.

🎯 Minimum speed ≈ 1.3 VS🎯 Reversion before the limit🎯 Alpha floor🎯 30° up / 15° down🎯 67° bank
💡 Key idea

When the engaged mode cannot hold a limit speed, the system changes mode. In V/S near minimum speed it reverts to LVL CHG so that pitch can protect the speed.

Protection (typical fly-by-wire)Limit
Pitch attitude30° nose up, 15° nose down
Bank67° normal · 45° high AoA · 40° high speed · returns to 33° if released
Load factor (clean)+2.5 g to −1 g
High angle of attackAlpha floor gives TOGA thrust before alpha max
High speedNose-up demand beyond VMO/MMO, stops short of VD/MD
  • 📉 Speeds above VMO/MMO cannot be selected; above flap or gear limits or below minimum speed they can, but are not flown. Select 15 kt above minimum to clear the under-speed symbol.
  • 🔢 Gain scheduling: bank limits drop from 45° to 30° (VOR/LOC) to 15° near the ground; authority reduced with dynamic pressure.

31 Flight Warning Systems Chapter 31

Many systems, one crew: the warning system sorts alerts by urgency and shows only what matters now.

🎯 Level A · B · C🎯 Red · amber🎯 Stall › windshear › GPWS › ACAS🎯 Bell · siren · wailer
💡 Key idea

Warning = act now; caution = be alert and act; advisory = be aware. An aural alert is mandatory whenever the pilot must take control.

Level A — warning

Red. Immediate crew action.

Level B — caution

Amber. Immediate alertness, then action.

Level C — advisory

Any colour except red or green (amber on some displays). Awareness.

  • 🔔 Typical sounds: bell for fire; siren for cabin altitude, configuration, overspeed; wailer or "cavalry charge" for autopilot disconnect; cricket for stall in some types; voice for GPWS, windshear and TCAS.
  • 🫨 Tactile: stick shaker for the stall approach, stick pusher to stop it getting worse.
  • 🔴 Master warning and caution lights sit in front of each pilot, near the centre of scan.

32 Aerodynamic Warnings Chapter 32

Three warnings about the air around the aircraft: altitude alerting, overspeed and stall.

🎯 900 ft / 300 ft🎯 Overspeed: cannot be cancelled🎯 Barber's pole🎯 5 kt or 5%
💡 Key idea

Stall warning is about angle of attack, not speed. It must start at least 5 kt or 5% CAS above the stall, whichever is greater, and keep going until the angle of attack is back to about where it started.

Altitude alerting (300–900 ft system)Indication
900 ft to goWhite box round the altitude, short tone
300 ft to goBox removed
Deviation of 300 ftMaster caution, beeper, ALTITUDE ALERT, amber box (level B)
InhibitedAfter G/S capture, or with landing flap and gear down
  • 🚀 Overspeed above VMO/MMO (from the ADC): siren or horn, red master WARNING, OVERSPEED. Cannot be silenced except by slowing down. The barber's pole moves to a lower IAS once MMO is limiting.
  • 🪶 Stall warning inputs: angle of attack (vanes on the forward fuselage), flap and slat position, air/ground (armed at nosewheel lift-off), airspeed. Outputs: stick shaker, voice, master WARNING.
  • 📜 Altitude alerting is required in turbojets and in turboprops over 5700 kg or more than 9 seats.

33 Ground Proximity Warning System Chapter 33

Seven modes watching radio height, descent rate, configuration and glide slope between about 50 and 2450 ft — and, with EGPWS, the terrain ahead.

🎯 Modes 1–7🎯 Response: level wings, max climb🎯 EGPWS 40–60 s / 20–30 s🎯 Mode 7 top priority
💡 Key idea

React first, analyse later. On a warning, level the wings and climb at maximum gradient to the safe altitude; stop only if the cause is positively identified, or by day in clear visual conditions.

ModeThreatAlert → warning
1Excessive descent rate"Sink rate" → "Whoop whoop pull up"
2Excessive terrain closure (up to 2450 ft)"Terrain, terrain" → "Pull up"
3Height loss after take-off or go-around (50–700 ft, ~10%)"Don't sink"
4AToo low, gear up (armed above 700 ft)"Too low gear" / "Too low terrain" above M0.35
4BToo low, flaps not set"Too low flaps" / "Too low terrain" above M0.28
5More than 1.3 dots below glide slope (below 1000 ft)"Glide slope" soft → loud
6Call-outs and bank angle"Minimums", "Bank angle"
7Windshear"Windshear" — highest priority
  • 🗺️ Basic GPWS does not look ahead: a cliff gives no mode 2 warning. EGPWS compares position with a terrain database: caution (solid yellow, "caution terrain") then warning (solid red, "pull up"). Only as good as the navigation fix; never thread through terrain with it.
  • 🔇 FLAP OVRD inhibits the flap alerts and the top of mode 2; BELOW G/S cancels mode 5 under 1000 ft.

34 Airborne Collision Avoidance System Chapter 34

Transponder-to-transponder: TCAS II interrogates on 1030 MHz, listens on 1090 MHz, and tells the crew to climb or descend.

🎯 TA ≈ 40 s · RA ≈ 25 s🎯 RAs vertical only🎯 Follow the RA, not ATC🎯 Mode A intruder: TA only
💡 Key idea

Never manoeuvre against an RA. With Mode S on both aircraft the RAs are coordinated — the other aircraft has been told the opposite. If ATC and TCAS disagree, follow TCAS and tell ATC afterwards.

RA: red square TA: amber circle proximate other Tag "+05 ↑": 500 ft above, climbing at 500 fpm or more. Proximate = within 6 NM and ±1200 ft.
  • 🧑‍✈️ TA: look out and prepare; do not manoeuvre on a TA alone. RA: act at once; the other pilot looks out; inform ATC.
  • 🔇 Inhibitions near the ground: no RAs below about 1000 ft, no descend RA below about 1100 ft, no increase-descent below about 1450 ft, no TA voice below about 500 ft.
  • 🎛️ STBY · ON (transponder only) · TA ONLY (after an engine failure, parallel runways) · TA/RA. Display range changes the display only.
  • 📜 Required at least ACAS II in turbine aeroplanes over 5700 kg or more than 19 seats.

35 Flight Data Recorder Chapter 35

A red box under the fin that keeps the last 10 or 25 hours of flight data for the investigators — and the engineers.

🎯 25 h (> 5700 kg)🎯 10 h smaller turbines🎯 Starts before it can move🎯 8 flights / 72 h
💡 Key idea

It records from before the aeroplane can move under its own power until after it no longer can — in practice from the first engine start until 5 minutes after the last engine stops.

  • 📊 Main parameters: time, attitude, airspeed, pressure altitude, heading, normal acceleration, thrust and lever position, flaps and slats, spoilers. Over 27 000 kg add controls and trim, radio altitude, displayed navigation, warnings, gear.
  • 🔖 The EVENT button bookmarks the recording. An underwater locator is fitted.
  • 📦 Up to 5700 kg the FDR may be combined with the CVR; above that, two recorders.
  • 🛠️ Inoperative FDR: no more than 8 further flights and 72 hours, and the required CVR must work.

36 Cockpit Voice Recorder Chapter 36

An area microphone and the crew's audio channels, kept in a crash-proof box for accident investigation.

🎯 2 h (25 h newer large aircraft)🎯 AUTO / ON🎯 Erase on ground only🎯 Underwater locator
💡 Key idea

It records everything the flight deck hears: radio sent and received, the aural environment, interphone, headset audio and PA announcements by the crew.

  • ▶️ AUTO: starts at first engine start, stops 5 minutes after the last shutdown. ON: starts at once (for pre-start checks), returning to AUTO at engine start.
  • 🧯 Red or orange case at the rear, built for shock, heat and fire; the underwater locator pings when wet for at least 30 days.
  • 🧹 Erase works only on the ground (parking brake set).

37 Engine Instrumentation Chapter 37

How thrust, speed, temperature, pressure, vibration and fuel are sensed and shown.

🎯 EPR = jet pipe ÷ intake🎯 Set EPR by 60 kt🎯 Thermocouple · ratiometer🎯 Capsule · bellows · Bourdon🎯 Capacitance reads mass
💡 Key idea

Thrust is never measured directly — N1 or EPR stands in for it. Watch the others too: chasing a falling EPR on the take-off run can take N1, N2 and EGT over their limits.

QuantitySensorPoint to remember
Torque (turboprop)Oil pressure against helical gear thrustPower = torque × rpm
Spool speedSpeed probe / phonic wheel, or 3-phase tacho generatorFrequency ∝ speed
EGTChromel-alumel thermocouples in parallelAverages; one failure hardly matters
Precise temperatureRatiometerUnaffected by supply voltage
PressureCapsule (low) · bellows (medium) · Bourdon tube (high)Most gauges read gauge pressure
VibrationPiezo crystal or magnet in a coil, filteredRelative amplitude
Fuel quantityCapacitance probes in parallelDielectric ≈ 2 × air, rises with density → mass
Fuel flowImpeller in the HP lineVolume, corrected for density → mass
  • ❄️ An iced intake probe makes EPR over-read, so less thrust than intended is set.
  • 🌡️ Probes: SAT + recovered ram rise; TAT probes recover about 100%. A thermocouple needs its cold junction at a known temperature.
  • 🔴 A small red arc inside the green on an rpm gauge: a vibration band not for continuous use. A synchroscope matches engine rpm.

38 Electronic Instrumentation Chapter 38

Engine and system data on screens: EICAS shows what is wrong as messages; ECAM shows what to do and the system drawing.

🎯 EICAS: operational · status · maintenance🎯 ECAM: 3 automatic + manual🎯 Compact format🎯 Advisory indented
💡 Key idea

EICAS: messages. ECAM: checklists and pictures. On EICAS the upper screen carries the primary engine parameters full-time plus the alert list; the lower carries secondary parameters. ECAM's left/upper screen gives the warning and action list; the right/lower gives the synoptic.

EICAS colourUse
WhiteScales, normal ranges, read-outs
RedWarnings, maximum limits
YellowCautions, advisories, caution limits
GreenThrust mode, target cursors
CyanParameter names
MagentaIn-flight start, cross-bleed
BlueTesting only
  • 🖥️ Two computers, one in control; one display failed → compact format on the other; standby engine gauges as back-up.
  • 🚦 Level A warning red, level B caution amber, level C advisory amber indented one space. A fire shows red on the upper display.
  • 📦 ECAM modes: flight phase related, advisory (a parameter drifting to its limit), failure related, and manual. A boxed message is a primary failure affecting other systems.