Following the perturbation theory, the aircraft measurements of “Project Jet Stream” Flight No. 29 (4 April 1957) have been analyzed, applying a double-smoothing technique, thus treating the basic fields of flow and temperature separately from the superimposed mesoscale disturbances. Analyses of wind velocity and potential temperature lead to estimates of the distributions of vorticity, potential vorticity and divergence in a vertical cross-section. Several inferences are made as to the meso-structure of the atmosphere near the jet-stream core.