Define orientation of a body in three dimensional space
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.
MATLAB® and Simulink® help simplify design problems that use Euler angles. For example, you can:
- Transform coordinate systems in real-time simulation or post processing of data
- Visualize Euler angles and flight data in FlightGear flight simulator
- Use functions to transform between quaternions and Euler angles
Examples and How To
See also: quaternion, linearization, numerical analysis, design optimization, real-time testing, Monte Carlo simulation, model-based testing