The nonlinear despin dynamics of a gyrostat with a symmetric balanced platform and an asymmetric rotor (can he balanced or unbalanced) is studied. A numerical scheme is provided for computing the multiple equilibria as well as their bifurcation properties. The major purpose is to determine the boundary curves between normal-spin and flat-spin transitions in terms of motor torque magnitude and initial conditions, rotor asymmetry, and imbalance, when the torque is not considered small. Results show alternating regions of normal-and hat-spin states in the range of torque magnitude. References: 15
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