Simulation of Rotation Vector Method with MATLAB Implementation

In this paper, we developed a MATLAB program to simulate the rotation vector method. The algorithm finds applications in aerospace fields such as attitude control and navigation systems. Our implementation involved creating functions to handle quaternion operations and coordinate transformations, with key routines including vector normalization and rotation matrix calculations. During simulation, we tested various scenarios including different flight velocities and orientations through parameterized scripts that systematically varied input conditions. Comparative analysis scripts were developed to evaluate performance against alternative methods. The results demonstrate that the rotation vector method outperforms other approaches, providing more accurate predictions of aircraft attitude. We conducted extensive data analysis using MATLAB's statistical toolbox and generated visualization plots including 3D trajectory representations and error distribution charts to support our conclusions. The code structure modularizes core algorithms into reusable functions, facilitating future extensions. Overall, our findings validate the rotation vector method as an effective algorithm with broad application prospects in aerospace engineering.