Figure 6 is taken from Von Arx, Bumpus, and Richardson (l95h)» In 

 this figure the velocities of the Gulf Stream measured just three weeks 

 previous to Operation STANDSTILL are shown- by arrows. Three eddies are 

 delineated by the clockwise turning of the vectors at distances of 30 

 to 50 miles away from the jet and on the right-hand side of the flow. 

 It is evident from the arrows on 29 May that previous to the formation 

 of an eddy on 31 May the vectors had a northward component, and the flow 

 must then have been stable. The data do not allow determination of the 

 exact period of formation of the eddies because of the sporadic nature 

 of the observations. The above development leads to approximately the 

 right period but has a serious flaw in that the radius of the eddy must 

 be small because the entire mass of water is in motion. Inasmuch as the 

 observed currents' in the vicinity of the anchor station averaged less than 

 0.5 knots ^and were not regular in direction, any existing eddies must have 

 had a radius of less than 2 miles. However, the radius on which the ship 

 swung at anchor (disregarding drag on the bottom) was a minimum of 2.5 

 miles, because 20,000 feet of anchor cable were payed out in a depth of 

 900 fathoms. It is therefore evident that the phenomenon which caused the 

 regular change in isothermal depth shown by the spectral analysis regardless 

 of the location of the ship on its anchor arc was much larger in diameter 

 than the small instability eddies „ 



B, Inertia Waves 



A second form of motion that may be considered is inertia waves con- 

 trolled by the Coriolis. force. The equations of motion for these waves 

 considering a finite depth h and postulating that the vertical velocity w 

 is equal to zero both at depth h and at the surface (z = 0), may be written as 



where °* ^ /o is the specific volume. These equations are similar to 

 those on p. 289 of Haurwitz (lpl|.l) except that in the present case, the inertial 

 motion is given for all latitudes instead of only at the poles. Equations (7) 

 do not contain a gravity term because the water is considered to be homo- 

 geneous and the motion thus entirely inertial. 



The equation of continuity completes the initial set of conditions! 



12 



