A simple axisymmetric magnetic mirror may be MHD stable, provided that (1) a certain length of magnetic field has a series of ripples in it, (2) with isotropic pressure the plasma beta value is higher than 50%, and (3) the conducting wall is very close to the plasma surface. The theory and its physical picture are discussed, and a Sturm-Liouville form is presented as well as numerical results that illuminate the requirements of field structure and anisotropy.