Differences between retrieved temperatures from lidar and atmospheric model temperatures are calculated for four problems: (1) the effect of a transient thin aerosol layer at any altitude on temperature retrieved by a single-wavelength lidar; (2) the effect of residual aerosols on temperature retrieved by a two-wavelength lidar; (3) the errors due to splicing two backscatter signals which are obtained separately; and (4) the effect of multiple scattering. The results show that temperatures can be retrieved for + or - 3 K if Rayleigh backscatter can be measured for + or - 1.5 percent. The LITE lidar in a 240 km orbit aboard the Shuttle should be able to make a + or -3 K measurements from 10-40 km with vertical resolutions of 1 km and horizontal resolutions of 300 km.