The possibility of utilizing limb scattering to monitor stratospheric ozone from space has been recognized as a possible remote sensing technique for many years. Unfortunately, due to the complexity of the radiative transfer problem associated with the spherical shell geometry and associated multiple scattering, the problem has received relatively little attention. While the complexity of the problem remains, the development of newer codes allows for the problem to now be tractable. Utilizing one such recently developed code, the authors have made a series of sensitivity studies relating changes in the limb radiances to changes in the ozone profiles. The calculations allow for the spherical geometry, include all orders of multiple scattering, and may include aerosols and other absorbing gases when relevant. Calculations of the changes are presented for a series of standard ozone profiles and for perturbed profiles. The results of these calculations indicate that measurement accuracies on the order of plus or minus 1% should provide adequate sensitivity to determine the significant structure of the ozone profile. Due to the complexity of the spherical, multiple scattering problem, direct inversion of the measured radiances is probably not feasible at this time. However, table look-ups provide a reasonable alternative, much as is currently done in the TOMS/SBUV retrieval algorithms. Results of the sensitivity studies for a range of conditions are presented.