Methods and systems for calculating atmospheric vehicle air data are disclosed. In one embodiment, a method of calculating air data includes acquiring one or more pressure measurements at locations on an outer surface of the aircraft; acquiring one or more measurements using an alternate navigation device; computing an indicated air data solution using the one or more measurements obtained using the alternate navigation device and an atmospheric model; computing corrections to the indicated air data solution using one or more other measured parameters, wherein the one or more other measured parameters include at least one of the one or more pressure measurements and the one or more measurements obtained using the alternate navigation device; determining a corrected air data solution using the indicated air data solution and the corrections; and providing the corrected air data solution for use in controlling the aircraft.