Euler angles are a method of determining the rotation of a body in a given coordinate frame. They can be defined as three rotations relative to the three major axes. Euler angles are most commonly represented as phi for x-axis rotation, theta for y-axis rotation and psi for z-axis rotation. Any orientation can be described by using a combination of the these angles.
Common uses for Euler angles include vehicle dynamics for aircraft, spacecraft, and automotive, as well as industrial automation and robotics equipment.
Accelerate Flight Vehicle Design with MATLAB and Simulink 64:00 (Webinar)