Forces and moments acting on bodies rotating about a symmetry axis in a free molecular flow

Analytic expressions are obtained for the forces and moments acting on symmetrically rotating convex figures of revolution moving in a free molecular flow of rarefied gas under the following assumptions: the velocity distribution function of the molecules of the oncoming flow is Maxwellian and the incident molecules have a diffuse—specular interaction with the surface of the body. For bodies with arbitrary piecewise smooth generator, general expressions are found in terms of quadrature for the components of the aerodynamic forces and moments. For a disk, sphere, and cylindrical and conical surfaces, the integration of the forces and the moments, which depend on the rotation of the body, is carried out to the end. For the moments of the forces, graphs are plotted of the errors of the hypothermal approximation as a function of the velocity ratio.