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Aircraft Operations. Volume II - Construction of Visual and Instrument ...

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Appendix A to Chapter 4<br />

TEMPERATURE CORRECTION<br />

1.1 Requirement for temperature correction<br />

The calculated minimum safe altitudes/heights must be adjusted when the ambient temperature on the surface is much<br />

lower than that predicted by the st<strong>and</strong>ard atmosphere.<br />

1.2 Tabulated corrections<br />

For FAS angle calculation the cold temperature correction should be obtained from Tables <strong>II</strong>I-3-4-App A-1 <strong>and</strong> <strong>II</strong>I-3-4-<br />

App A-2. These tables are calculated for a sea level aerodrome. They are therefore conservative when applied at higher<br />

aerodromes (see paragraph 3).<br />

1.3 Calculation <strong>of</strong> corrections<br />

1.3.1 To calculate the corrections for specific aerodrome elevations, altimeter setting sources above sea level, or<br />

for values not tabulated, use Equation 24 from Engineering Science Date Unit Publication, Performance <strong>Volume</strong> 2,<br />

Item Number 77022 1 . This assumes an <strong>of</strong>f-St<strong>and</strong>ard atmosphere.<br />

ΔhCORRECTION<br />

= ΔhPAirplane – ΔhGAirplane =(–ΔTstd/Lo)ln[1+Lo ΔhPAirplane /(To + Lo.hPAerodrome)]<br />

where: ΔhPAirplane = <strong>Aircraft</strong> height above aerodrome (pressure)<br />

ΔhGAirplane = <strong>Aircraft</strong> height above aerodrome (geopotential)<br />

ΔTstd = temperature deviation from the st<strong>and</strong>ard day (ISA) temperature<br />

Lo = st<strong>and</strong>ard temperature lapse rate with pressure altitude in the first layer (sea level to<br />

tropopause) <strong>of</strong> the ISA<br />

To = st<strong>and</strong>ard temperature at sea level<br />

Note.— Geopotential height includes a correction to account for the variation <strong>of</strong> g (average 9.8067 m sec 2 ) with<br />

heights. However, the effect is negligible at the minimum altitudes considered for obstacle clearance: the difference<br />

between geometric height <strong>and</strong> geopotential height increases from zero at mean sea level to –59 ft at 36 000 ft.<br />

1.3.2 The above equation cannot be solved directly in terms <strong>of</strong> ΔhGAirplane, <strong>and</strong> an iterative solution is required.<br />

This can be done with a simple computer or spreadsheet programme.<br />

1. Reprinted by permission <strong>of</strong> ESDU International plc., 27 Corsham Street, London, N1 6UA, UK.<br />

<strong>II</strong>I-3-4-App A-1 23/11/06

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