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Spherical kinematics in 3-dimensional generalized space.

Authors :
Ata, Erhan
Savci, Ümit Ziya
Source :
International Journal of Geometric Methods in Modern Physics; Mar2021, Vol. 18 Issue 3, pN.PAG-N.PAG, 18p
Publication Year :
2021

Abstract

In this study, we obtained generalized Cayley formula, Rodrigues equation and Euler parameters of an orthogonal matrix in 3-dimensional generalized space E 3 (α , β). It is shown that unit generalized quaternion, which is defined by the generalized Euler parameters, corresponds to a rotation in E 3 (α , β) space.We found that the rotation in matrix equation forms using matrix form of the generalized quaternion product. Besides, in E 3 (α , β) space, we obtained the rotations determined by the unit quaternions and unit split quaternions, which are special cases of generalized quaternions for α , β ∈ ℝ , in 3-dimensional Eulidean space E 3 , in 3-dimensional Lorentzian space E 1 3 , respectively. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02198878
Volume :
18
Issue :
3
Database :
Complementary Index
Journal :
International Journal of Geometric Methods in Modern Physics
Publication Type :
Academic Journal
Accession number :
148890723
Full Text :
https://doi.org/10.1142/S021988782150033X