In the process of target push-broom imaging by a temporally and spatially modulated spatial heterodyne interference imaging spectrometer (TS-SHIS), the push-broom error and positioning error of the pointing mirror and the satellite platform vibration can deviate the actual imaging position (x',y') of a target from its ideal position (x,y). This results in spectral mixing between adjacent targets, affecting the interference data reconstruction and reducing the accuracy of recovery spectra. In light of the mechanism of TS-SHIS, this paper discussed the linear mixing of target spectra caused by motion errors and the influence of surface reflectance difference on the accuracy of recovery spectra. On this basis, the interference function of mixed targets was established with the mixing ratio of adjacent targets and the surface reflectance difference as variables. Further, we analyzed the surface reflectance differences of different spatial resolutions in China based on MODIS satellite payload data. Taking the relative spectral quadratic error as an evaluation function, we explored the effects of attitude parameters of a typical high-orbit platform on the accuracy of target recovery spectra with different spatial resolutions. This research provides a technical basis for the next generation of high-orbit greenhouse gas detection technology with high spatial and temporal resolutions.