Proportional Navigation Guidance Trajectory Simulation

This paper conducts an in-depth study of 3D true proportional navigation guidance trajectory simulation using vector operations and provides detailed reproduction of case studies. First, we introduce the fundamental principles of guidance trajectory simulation and relevant knowledge about vector operations. Subsequently, we elaborate on the implementation process of the 3D true proportional navigation method, including a comprehensive algorithm flowchart. The implementation involves calculating relative velocity vectors, determining line-of-sight rates, and applying proportional navigation laws through vector cross products. During case study reproduction, we perform detailed analysis and discussion of simulation results, examining how different parameters such as navigation constant, initial conditions, and target maneuverability affect the simulation outcomes. Key functions include line-of-sight calculation, acceleration command generation, and numerical integration of engagement dynamics. Finally, we summarize the research findings and propose directions and suggestions for further investigation, including potential extensions to advanced guidance laws and real-time implementation considerations.