Research on coning motion stability of a spinning missile with one pair of canards

The coning motion is a basic angular behavior of spinning missiles, and the research on the stability of coning motion has been the heated topic in the field of spinning missle. The linearized 6-DOF equations of angular motion for a spinning missile with one pair of canards were established in the rolling body frame. The influence of aerodynamic asymmetry due to the canards on the angular motion was revealed via numerical simulations. The analytical stability condition of coning motion was given by Routh criterion, which can be transformed to be an equivalent of rotation rate with stable coning motion. Simulations under different spinning rate demonstrate that the stability condition was reliable. In the case of a given spinning rate, the sinusoidal canard with activating frequency in the neighborhood of the slow mode can induce strong resonance instability. The research results can provide references to the system design, guidance and control design of spinning missiles with one single pair of canards.