Angles → Quaternions
Quaternions [q1, q2, q3, q4]:
Quaternions → Angles
Euler Angles [degrees]:
About the Calculator
This calculator enables conversion between Euler angles (represented in degrees) and quaternions used in the ABB RobotWare control system. Quaternions are an efficient way to represent orientation in 3D space, avoiding the gimbal lock problem.
The orient data type in ABB RobotWare uses quaternions with components q1, q2, q3, and q4, where the vector [1, 0, 0, 0] represents no rotation. All quaternions are normalized so that the sum of the squares of the components equals 1.
Note: Any input quaternion values are automatically normalized to ensure that q1² + q2² + q3² + q4² = 1. This is required for quaternions to properly represent rotations in 3D space.