Modeling of arrangement tolerances for the optical elements in a spaceborne Offner imaging hyperspectrometer

We propose mathematical tools and analyze the quality of an image in the detection plane of an Offner imaging hyperspectrometer, evaluating conditional tolerances for the position of the spectrometer elements. The results of modeling of a combined effect of the arrangement errors show that the probability for the hyperspectrometer to be successfully assembled in compliance with the requirements for image quality is not lower than 0.9.