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ISA Temperature Lapse

Standard atmosphere temperature decreases about 2°C per 1000 ft up to the tropopause.

Formula

T=15−1.98(h1000)T = 15 - 1.98\left(\dfrac{h}{1000}\right)

Variables

TTemperature (°C)
hAltitude (ft)

Example

At 10000 ft: T ≈ 15 − 19.8 = −4.8°C

How it works

This formula gives the International Standard Atmosphere (ISA) temperature at a given altitude in the lower atmosphere, where air temperature is modeled to fall almost linearly with height. The constant 15 represents the standard sea-level temperature in °C, and the factor 1.98 converts altitude from feet into an approximate temperature drop of about 2°C per 1000 ft. It is an engineering approximation derived from the standard lapse rate used in aviation performance calculations, not a local weather forecast.

When to use it

Use it when you need the ISA temperature at a particular altitude for flight planning, performance calculations, density-altitude work, or comparing actual conditions with standard atmosphere values. It is most appropriate below the tropopause, where the standard lapse-rate model applies.

Worked example, step by step

Find the ISA temperature at 6500 ft. T = 15 - 1.98(h/1000) T = 15 - 1.98(6500/1000) T = 15 - 1.98(6.5) T = 15 - 12.87 T = 2.13°C So, the ISA temperature at 6500 ft is about 2.1°C.

Common mistakes to avoid

  • Using altitude in metres instead of feet without converting it first
  • Treating the result as actual outside air temperature rather than the standard atmosphere value
  • Applying the formula above the tropopause, where the temperature lapse no longer follows the same linear rate

Did You Know?

The standard atmosphere assumes 15°C at sea level, dropping about 2°C per 1,000 feet of climb.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026