Research on convergence speed of coning motion of wrap-around-fin rockets

Aiming at research on the convergence speed of transient process of the coning motion of the wrap-around-fin (WAF) rockets in steady process, the criterion to judge the asymptotic stability was deduced by means of small deviations linearization theory and Routh criterion based on the coning motion differential equations in nutation angle coordinate. The general formula was deduced under above-mentioned condition. It is indicated that the transient process is the superposition of exponential convergence process and oscillation convergence process. The results deduced by above compute method are in good agreement with the results obtained by original non-linear equations. Only suitable to the situation under small angle of nutation is the limitation of this method. Finally, future research direction is also discussed.