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Expressions of Euler Angles as Functions of the Directional Cosines of Three-Orthogonal Axes in Rigid Body Kinematics - II

Open Access
|Feb 2022

Abstract

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).

DOI: https://doi.org/10.2478/bipcm-2021-0019 | Journal eISSN: 2537-4869 | Journal ISSN: 1011-2855
Language: English
Page range: 17 - 24
Submitted on: Nov 1, 2021
Accepted on: Nov 17, 2021
Published on: Feb 23, 2022
Published by: Gheorghe Asachi Technical University of Iasi
In partnership with: Paradigm Publishing Services
Publication frequency: 4 times per year

© 2022 Eugen Corduneanu, published by Gheorghe Asachi Technical University of Iasi
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.