Expressions of Euler Angles as Functions of the Directional Cosines of Three-Orthogonal Axes in Rigid Body Kinematics - II
| Feb 23, 2022
About this article
Published Online: Feb 23, 2022
Page range: 17 - 24
Received: Nov 01, 2021
Accepted: Nov 17, 2021
DOI: https://doi.org/10.2478/bipcm-2021-0019
Keywords
© 2021 Eugen Corduneanu, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
In the rigid body kinematics, the position of the mobile frame in relation to the fixed frame is given by the base-change matrix. The elements of this orthogonal matrix are given by the Euler’s angles. This paper establishes the reverse link relations between the Euler’s angles and the elements of the base-change matrix (directional cosines).