The present disclosure provides methods and systems for correcting a vertical speed of an aircraft. An instantaneous vertical speed of the aircraft is obtained, based on inertial data from an inertial reference unit on the aircraft. A first correction is applied to the instantaneous vertical speed to generate a baro-inertial vertical speed, and a second correction is applied to the baro-inertial vertical speed based on an error between a geometric vertical speed and the baro-inertial vertical speed to obtain a temperature-corrected baro-inertial vertical speed.