Calculations by the method of adjoint walks are used to study the effect of atmospheric sphericity and vertical stratification of aerosol optical characteristics on angular distribution of near-horizon clear-sky brightness in ground-based observations. It is shown that, for small aerosol optical depths and/or large solar zenith angles, the neglect of atmospheric sphericity may introduce up to 10% error in radiance calculations. The specific feature of near-horizon sky brightness is that it depends not only on the atmospheric optical depth, but also on aerosol extinction coefficient in the near-ground layer. To cope with this it is sufficient to use meteorological visibility as accurate as 50%.