Modified Gibbs's representation of rotation matrix
General Physics
2024-01-17 v1
Abstract
A modified Gibbs's rotation matrix is derived and the connection with the Euler angles, quaternions, and CayleyKlein parameters is established. As particular cases, the Rodrigues and Gibbs parameterizations of the rotation are obtained. The composition law of two rotations from the quaternion representation is presented showing a convenient expression for calculating the successive rotations.
Keywords
Cite
@article{arxiv.1703.00300,
title = {Modified Gibbs's representation of rotation matrix},
author = {S. I. Kruglov and V. Barzda},
journal= {arXiv preprint arXiv:1703.00300},
year = {2024}
}
Comments
17 pages