Abstract
Aircraft spin susceptibility is a critical parameter for the flight safety. Recently developed quantitative methods for analysis of nonlinear systems are applied to analysis of aircraft spins. The parameters of aircraft spin modes are calculated using numerical continuation on a parameter. Polynomial approximations of the reduced fifth-order system with account of significant nonlinearities in the aircraft aerodynamic coefficients are derived near a number of stable spin equilibrium points and validated by simulation. For the calculated polynomial approximations, low bounds of ellipsoidal approximations of regions of attraction are estimated using the Lyapunov-based optimization technique. The estimated sizes of regions of attraction for different spin modes can be used as a measure of aircraft susceptibility to spin and relative danger of particular spins.
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