Power bodies of minimum resistance and Newton’s aerodynamic problem

On the basis of the local model (in particular, the free - molecular gas model and Newton’s «rarefied medium» model), the drag coefficient of the bodies of revolution in a high-speed flow is determined at arbitrary Reynolds numbers. The generatrices of the bodies of revolution with a minimal resistance are determined, obtained by searching for the necessary minimum condition (Euler’s equation). It is shown that such bodies must have a flat end (blunt nose). It is proven that the angle between the generatrix of the rotating body and the plane of the flat end is constant for a given Reynolds number and does not depend on the elongation. In the case that if the generatrix of a body of revolution is a power function, finding such generators is reduced to finding a functional extremum. It is shown that the generatrices of the bodies of revolution with minimal resistance obtained bysearching for the necessary minimum condition (Euler’s equation) and power generators are practically indistinguishable.