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

WOS: 000310639000011In 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