The Euler angles are three angles introduced by Leonhard Euler to describe the orientation of a rigid body with respect to a fixed coordinate system. They...

Spatial rotations in three dimensions can be parametrized using both Euler angles and unit quaternions. This article explains how to convert between the...

rotations are called Euler angles. These are three angles, also known as yaw, pitch and roll, Navigation angles and Cardan angles. Mathematically they...

true for representations based on sequences of three Euler angles (see below). If the rotation angle θ is zero, the axis is not uniquely defined. Combining...

into Rotors. Euler angles can also be used, though not with each angle uniformly distributed (Murnaghan 1962; Miles 1965). For the axis–angle form, the axis...

ascending node, and argument of periapsis can also be described as the Euler angles defining the orientation of the orbit relative to the reference coordinate...

specific axes. Euler rotations and Tait–Bryan rotations are particular cases of the Davenport general rotation decomposition. The angles of rotation are...

rotation with a matrix using Euler angles than the X-Y-Z convention above, and also choose other variation intervals for the angles, but in the end there is...

angular velocity pseudovector were first calculated by Leonhard Euler using his Euler angles and the use of an intermediate frame: One axis of the reference...

Diagram of the Euler angles Intrinsic rotation of a ball about a fixed axis Motion of a top in the Euler angles These are three angles, also known as...