Optimal correction strategy during Lambert transfer from view of probability

Monte-Carlo simulation and genetic algorithm were employed to achieve the optimal correction strategy during Lambert transfer from the view of probability. The Lambert trajectory associated J₂ perturbation was generated from differential correction algorithm that was used to yield the periodic orbit in circular restricted three body problem (CR3BP). So the correction maneuvers dealt with just the residual errors from navigation and controller. Then the linear and nonlinear strategies were derived from the monodromy matrix of differential correction algorithm, and then the Monte-Carlo simulation and genetic algorithm were employed to minimize the rendezvous errors from the view of probability. Quite different from the traditional strategies, the correction developed is universal for its robustness to measure errors.