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Spherical kinematics in 3-dimensional generalized space.
- 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