geoprimsField-grade geospatial math

ISA temperature and deviation

The standard temperature at a pressure altitude (15 °C falling 1.98 °C per 1,000 ft to -56.5 °C), and the deviation of an outside air temperature.

Planning and education aid. Not for primary navigation. Full disclaimer

Experimental: not yet fully verified. How results are checked

-56.5°C

The standard temperature at 41,000 ft is -56.5 °C.

Provenance
Computed by
aviation.altimetry.isa-temperature 1.0.0, core 0.1.0
Model
ICAO Standard Atmosphere layer temperatures
Accuracy
Exact to the ISA definition
Notes
1 shown with the answer
Cites
International Civil Aviation Organization, Manual of the ICAO Standard Atmosphere (extended to 80 kilometres (262 500 feet)); Federal Aviation Administration, Pilot's Handbook of Aeronautical Knowledge, FAA-H-8083-25C

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How we got thisFormula, worked example, sources, and proof

Model: ICAO Standard Atmosphere layer temperatures

Accuracy: Exact to the ISA definition

Worked example: ISA temperature at FL410. Source: add-aviation-suite altimetry scenario: -56.5 °C above 36,089 ft. It is golden test vector v005, and every build checks the tool still gives its answer within its tolerance.

You enter

Pressure altitude
41000 ft

You get

ISA temperature
-56.5 °C

Review: Not yet independently reviewed by a flight instructor (CFI).

Last verified: 2026-09-18, when a maintainer last confirmed this tool's sources at the issuer. See the sources ledger.

Status: version 1.0.0, core 0.1.0. See this tool in the verification report.

Checked against: 6 golden test vectors (download the test vectors, each with its source and tolerance). See how results are checked and every source.

Sources

Terms

ISA: International Standard Atmosphere
A reference atmosphere: 15 °C and 1013.25 hPa at sea level, cooling 6.5 °C per kilometer up to 11 km. Altimeters and performance charts are built on it. Source: Manual of the ICAO Standard Atmosphere (Doc 7488)

Experimental means this tool has not yet met the stable bar: at least 20 golden vectors, differential tests, and an independent worked example.

ISA — International Standard Atmosphere

A reference atmosphere: 15 °C and 1013.25 hPa at sea level, cooling 6.5 °C per kilometer up to 11 km. Altimeters and performance charts are built on it.

Source: Manual of the ICAO Standard Atmosphere (Doc 7488)