Abstract
Since the two point correlations of winds on an isobaric surface approximate those expected from a two-dimensional isotropic turbulence, it follows that in a flow that is geostrophic the two point correlations of wind and height must have a specific functional form. The form of the two point correlation function for wind and height is predicted from relations between this function and the correlation functions for the two point correlations of wind and the two point correlations of height. The theoretical predictions are compared with observational data and found to be reasonably well realized. The two point correlation function for wind and height is applied to height and wind observations at a point for the estimation of these quantities at a distance of several hundred nautical miles.