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 these angles.
Euler angles are often used in the development of vehicle dynamics for aircraft, spacecraft, and automotive, as well as industrial automation and robotics equipment.
Common tasks for simplifying design problems that use Euler angles include: