| Firstly,this paper analyzes the feature table of each stage in the flight process of ballistic missile.Through analysis andabstraction,it defines the application of each spatial coordinate system and the transformation relationship between different coordinate systemsand constructs a ballistic missile trajectory model.The dynamic equations of different stages of the ballistic missile are constructed.The fourth-order Runge Kutta method is to solve the equations to obtain the ballistic parameters.Secondly,to solve the problem of reducing the strike capability and strike stability of ballistic weapons caused by the ballistic crossing,this chapter proposes a method to determine the trajectory intersection of ballistic points based on the spherical analytic geometry method.Then USES the step-size acceleration algorithm to calculate the spatial ballistic intersection.The model can effectively determine the existence of ballistic weapon intersection,and the experimental case also shows that the model has good performance in calculation accuracy and efficiency,which provides a constraint basis for the proposal of ballistic weapon collision prevention algorithm.Then,a hybrid programming model based on Random Searching and Trajectory Crossing is proposed.Based on the Random Searching,the model generates the initial solution of the launch timing sequence,and then based on the constraint:conditions such as Trajectory Crossing,launch time limit and target priority,the new feasible solution is generated through evolution to obtain the optimal timing sequence planning.The simulation results show that this model can solve the launch timing problem of the ballistic weapon system and improve the performance by 10.5%compared with the conventional Yalmip+Cplex solution.Finally,in the case of multiple volleys of the same ballistic weapon system,there are problems of ballistic crossover and mutual interference.For ensuring the accurate strike of ballistic weapons,flight pipelines of each ballistic weapon are analyzed,and the launch time of each ballistic weapon is planned.Meanwhile,planing the launch time with a small amount of calculation,this chapter establishes a fast planning algorithm for the launch time of ballistic weapon based on the analysis of the trajectory of the initial stage of ballistic weapon,which is applicable to the actual use. |