Example: Stability of Torque Free Motion Body spinning about principal axis of inertia 0 Consider small perturbation ,y9 After initial perturbation M=0 w 之 0 0 y 0 small AERO Dynamics 16.07 Dynamics D25-D26 8Example: Stability of Torque Free Motion Dynamics 16.07 Dynamics D25-D26 8 Body spinning about principal axis of inertia, ωz = ω, ωx = ωy = 0 Consider small perturbation ωx, ωy,  ω After initial perturbation M = 0 Ixω˙ x − (Iy − Iz)ωyωz = 0 (1) Iyω˙ y − (Iz − Ix)ωzωx = 0 (2) Izω˙ z − (Ix − Iy) ωxωy | {z } small = 0 (3)