Achieving Interactive Shooting Training: Mathematical Modeling of Gun-launched Missile Ballistic Trajectories in LVC Architecture

Abstract

Gun-launched missiles play a significant role in land battlefields. However, simulating its physical properties realistically within training environments remains a persistent challenge, particularly when it comes to replicating the dynamic characteristics between virtual and real interactions. To address this challenge, we propose an extensive framework of theoretical methods aimed at achieving precision strikes on arbitrary moving targets in three-dimensional space based on the three-point method. Firstly, we establish the external ballistic kinematics and dynamics equations of the gun-launched missile. Then, we conduct the overall structural design and three-dimensional modeling of the missile, taking the ‘9K120’ gun-launched missile as the reference model. Next, we compute the aerodynamic coefficients and the aerodynamic moment coefficients of the gun-launched missile. Finally, we establish a simulation model of the gun-launched missile and analyze the curves of the external ballistic trajectory and flight attitude change over time when the missile strikes the target, and we finish mathematical modeling of gun-launched missile ballistic trajectories in LVC architecture. The results demonstrate that our theoretical method effectively solves the simulation modeling problem of the gun-launched missile in the simulation training environment, enabling accurate strikes on moving targets in three-dimensional space and achieving interactive shooting training.