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Cold temperature correction

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In PAFA approach plate, it has two temperature restriction. So what is the different between temperature compensation and cold weather altitude correction? If my aircraft can not compensate tempature automatically,  may I do temperature compensation or altitude correction manually? 

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    John D Collins on Jun 30, 2016

    Cold weather altitude restrictions are for the altimeter and when to correct altimeter indications for MDA/DA, intermediate approach segments, and holding approach segments. The AIM discusses this extensively in 5-1-17.

    Uncompensated Baro-VNAV systems are found in airlines and corporate aircraft. This system generates a glidepath based on a GPS position for the lateral and a altitude sensor on the vertical. They are temperature limited because the measured altitude is a function of temperature. Compensated systems adjust for temperature.

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