AbstractWe propose that the ratio of the auroral brightness of H Lyman‐α to that of far ultraviolet H2 and the absolute value of the H2 brightness provide good indicators of the acceleration versus nonacceleration processes for field‐aligned auroral electron precipitation in the Saturn magnetosphere‐ionosphere coupled system. This finding is based on model results indicating that this ratio is a decreasing function of the auroral electron energy over the whole auroral energy range, as previously suggested by Cassini observations. For electron energies above 5 keV, the results agree with the Knight relation, as in the environments of the Earth and Jupiter. On the other hand, decreasing electron flux with increasing electron energies below a few keV is also found and alternately explained as a nonacceleration reflecting the magnetospheric plasma distribution and/or wave‐particle interactions.