The Energy Formula in a Moving Reference Frame
The energy formula quoted by Green, Ludlam and McIlveen (1966) requires an additional term if it refers to a frame moving over the Earth's surface. The correction is derived for steady motion of the frame and tested observationally. The error incurred by ignoring the motion of a weather system is discussed.
Betts, A. K. and J. F. R. McIlveen, 1969: The Energy Formula in a Moving Reference Frame. Quart. J. Roy. Meteor. Soc., 95, pp. 639-642.