Rotations and Screw Motion with Timelike Vector in 3-Dimensional Lorentzian Space

Keçilioǧlu O., Özkaldi S., Gündoǧan H.

Advances in Applied Clifford Algebras, cilt.22, sa.4, ss.1081-1091, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s00006-011-0318-0
  • Dergi Adı: Advances in Applied Clifford Algebras
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1081-1091
  • Anahtar Kelimeler: Lorentzian matrix multiplication, Lorentzian space, rotation, split quaternions
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

In the present paper we obtain the timelike Euler parameters of a Lorentzian orthogonal matrix in Lorentz space L3 = ℝ2,1 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 L3. Moreover the components of a dual split quaternion are obtained by replacing the timelike L-Euler parameters with their split dual versions. © 2011 Springer Basel AG.