Vehicle Directional Cosine Calculation Method

Teaching kinematic rotations is a daunting task for even some of the most advanced mathematical minds. However, changing paradigm can highly simplify envisioning and explaining three-dimensional rotations. This change allows high school student with an understanding geometry to develop matrix explain at collegiate level. The proposed method includes assumption point (P) within initial frame axes (x^i, y^i, z^i). then utilizes two-dimensional rotation view (2DRV) measure how coordinates P translate after around axis. equations are used in notation follow-on direction cosine matrixes. removes requirement use Euler’s formula, ultimately, providing elementary repeatable process compose rotations, which critical attitude control systems commonly found vehicles.