Abstract
Recently developed unsteady hypersonic and Newtonian perturbation theories for flow past slender pointed-nose bodies of revolution pitching about any pivot position are further studied in this paper. In Part I, circular cones were considered; here we consider bodies described by second degree equations. It is found that the circumferential speed is singular at body surface for both circular cones and second degree polynomials for pivot positions other than the vertex and is regular for pitching oscillations about the vertex. Also it is found that the in-phase component of the unsteady shock wave does not satisfy the shock attachment condition, but both the in-phase and the out-of-phase components of the stability derivative are regular for all pivot positions. The surface(convex)curvature is found to decrease the out-of-phase component of the stability derivative, but the oscillations remain dynamically stable.