AchsenWinkelPaar
AchsenwinkelPaar is a concept in geometry and kinematics that denotes a pair of rotation angles associated with two axes, used to describe the orientation of a rigid body or a coordinate frame relative to a reference frame. The term combines Achsenwinkel (axis angle) with Paar (pair) and is used in contexts where the orientation is decomposed into two consecutive axis-based rotations.
A typical formulation represents the orientation as a product of two elementary rotations: R = R_axis1(alpha) · R_axis2(beta).
From a computational standpoint, one can compute a rotation matrix, quaternion, or Euler-like parameters from a
Relation to other representations: AchsenwinkelPaar is closely related to Euler angles and Tait–Bryan angles, and it
Limitations include non-uniqueness, singular configurations, and sensitivity to axis choice. See also Euler angles, axis–angle representation,