II. On the formation of coreless vortices by the motion of a solid through an inviscid incompressible fluid

Take the simplest case: let the moving solid be a globe, and let the fluid be of infinite extent in all directions. Let its pressure be of any given value, P, at infinite distances from the globe, and let the globe be kept moving with a given constant velocity, V. If the fluid keeps everywhere in contact with the globe, its velocity relatively to the globe at the equator (which is the place of greatest relative velocity) is 3/2 V. Hence, unless P> 5/8 V2 , the fluid will not remain in contact with the globe.