An analytical method to find wind or turbulence time-histories causing largest deviations of aircraft motion variables is described. Using basic concepts of linear system theory it is shown that the largest deviation of a particular aircraft variable is caused by a turbulence time-history that is proportional to the time-reversed impulse response of that particular variable.nA maximum deviation, caused by the (deterministic) worst case time history is next shown to be proportional to the variance of the motion variable in the (imaginary) stochastic case if the aircraft is considered to be perturbed by white noise random turbulence.
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