Rotations and Screw Motion with Timelike Vector in 3-Dimensional Lorentzian Space
Yükleniyor...
Tarih
2012
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper we obtain the timelike Euler parameters of a Lorentzian orthogonal matrix in Lorentz space L-3 = R-2,R-1 by using Lorentzian matrix multiplication. Then, by using the timelike Euler parameters of a given rotation in a split quaternion formulation, we produce split quaternion equation of a rotation motion in L-3. Moreover the components of a dual split quaternion are obtained by replacing the timelike L-Euler parameters with their split dual versions.
Açıklama
Anahtar Kelimeler
Lorentzian space, Lorentzian matrix multiplication, rotation, split quaternions
Kaynak
Advances In Applied Clifford Algebras
WoS Q Değeri
Q3
Scopus Q Değeri
Q3
Cilt
22
Sayı
4
Künye
closedAccess
