euler angle in a sentence

Examples

1. The formulas in that section use different conventions for the Euler angles within that same section.
2. Gun orders include angles computed from the vertical gyro data, and those computations involve Euler angles.
3. This is also true for representations based on sequences of three Euler angles ( see below ).
4. So that gives you a lower bound on number of spindles, the Euler angles may do you.
5. However, the definition of Euler angles is not unique and in the literature many different conventions are used.
6. Therefore, gyros are used to know the actual orientation of moving spacecraft, and Euler angles are directly measurable.
7. Different authors may use different sets of rotation axes to define Euler angles, or different names for the same angles.
8. Thus " Euler angles are not vectors ", despite a similarity in appearance as a triple of numbers.
9. These singularities are not characteristic of the rotation matrix as such, and only occur with the usage of Euler angles.
10. Then, the transformation from the,, coordinate frame to the,, frame with the Euler angles,, is: