The Tikhonov and Volz—Goody methods are compared on the basis of numerical modeling as applied to reconstructing the aerosol scattering coefficient from the data of spaceborne sounding of the twilight Earth's atmosphere. The Tikhonov method is shown to provide a smaller difference between the initial and reconstructed profiles. It is also shown that the reconstructed profiles are more stable with respect to random errors introduced artificially into the initial data.