Abstract: Based on the six degrees of freedom ballistic equations, the mathematical model of persistent rolling resonance slowly revolving re-entry vehicle is established. To the non-linear mathematical model, a kind of adaptive genetic algorithms is brought forward to calculate the parameters of rolling resonance trajectory and the values of three little asymmetry factors directly, when persistent rolling resonance happens. The results prove that using the adaptive genetic algorithms to solve the parameters of persistent rolling resonance is feasible and simple.