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Lesson 1 · Flight Performance & Planning

The International Standard Atmosphere & Density Altitude

Foundation of all aircraft performance calculations — EASA PPL theory

⏱ ~20 min ✈ SEP · VFR 📋 EASA Part-FCL

1 — The International Standard Atmosphere (ISA)

Every performance number in your POH was calculated against a single agreed atmosphere. That agreed model is the ISA — think of it as a “factory specification” for the air.

The ISA — temperature drops as you climb

Key values to memorise:

MSL: 15 °C · 1013,25 hPa · 1,225 kg/m³
Lapse rate: −2 °C / 1 000 ft
Tropopause: 36 090 ft (~FL360)

The key values to memorise: 15 °C and 1013.25 hPa at mean sea level, a lapse rate of 2 °C per 1 000 ft, and the tropopause at 36 090 ft where the temperature settles at −56.5 °C. The shortcut for any altitude:

ISA temperatureISA temp (°C) = 15 − (2 × altitude in 1 000s of ft)

ISA deviation
At 4 000 ft: ISA temp = 15 − 8 = 7 °C. If actual OAT = 22 °C → deviation = ISA +15. Describe any real-vs-standard gap as ISA +X or ISA −X.

2 — Three Altitudes You Must Know

Indicated altitude is what your altimeter shows with QNH set. Pressure altitude (PA) is what it shows with 1013.25 hPa set — every POH chart uses PA. Density altitude (DA) is the altitude in a standard atmosphere where the air density equals your actual density: the altitude the aircraft performs as if it is at.

Pressure altitude
PA = indicated alt + (1013 − QNH) × 30 ft/hPa. Low QNH (thin air) → PA higher than indicated; high QNH → PA lower.

Density Altitude (exam approximation)DA = PA + 120 × (OAT − ISA temp at that PA)

3 — Interactive Density Altitude Calculator

Drag the sliders and watch the three altitudes respond — feel the gap between where you are and where the aircraft thinks it is.

Live calculator — drag to explore
1500 ft
Indicated
1500 ft
Pressure Alt
1500 ft
Density Alt

ISA temp at current PA: 11 °C  ·  ISA +4

4 — Worked Example (Exam-Style)

Given elevation 1 500 ft · QNH 1 001 hPa · OAT 28 °C, find the density altitude:

  1. PA = 1500 + (1013 − 1001) × 30 = 1 860 ft
  2. ISA temp at PA = 15 − (2 × 1.86) ≈ 11 °C
  3. DA = 1860 + 120 × (28 − 11) = 3 900 ft

Real-world relevance
Zell am See (LOWZ) sits at 2 472 ft. On a hot day with low QNH its density altitude can exceed 5 000 ft — before you even leave the ground. Always check before flight.

5 — What High Density Altitude Does to Your Aeroplane

Less dense air means less oxygen, less lift, less thrust — every system that breathes air is impaired. The takeoff roll is the clearest victim:

Takeoff roll vs. density altitude
DA 0 ft (sea level, standard)
~250 m
DA 2 000 ft
~310 m
DA 4 000 ft
~390 m
DA 6 000 ft
~490 m
DA 8 000 ft
~630 m

Approximate values for a 1 200 kg SEP. Exact figures always come from the POH.

Key rule
Hot + low QNH = high DA = degraded performance. Long takeoff roll, weak climb rate, higher TAS on approach → longer landing roll.

Knowledge Check

Question 1
What is the ISA standard temperature at 8 000 ft?
Question 2
QNH 993 hPa, aerodrome elevation 1 000 ft. Approximate pressure altitude?
Question 3
Aerodrome at 2 000 ft, QNH 1 013 hPa, OAT 35 °C. Approximate density altitude?
Question 4
At high density altitude, a naturally-aspirated piston engine produces:

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