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Generating hyperbolical rotation matrix for a given hyperboloid

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Date
2016
Author
Şimşek, Hakan
Özdemir, Mustafa
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Abstract
Hyperbolic rotation is hyperbolically the motion of a smooth object on general hyperboloids given by −a1x2+a2y2+a3z2=±λ, λ ∈R+. In this paper, we investigate the hyperbolical rotation matrices in order to get the motion of a point about a fixed point or axis on the general hyperboloids by defining the Lorentzian Scalar Product Space R2,1a1a2a3such that the general hyperboloids are the pseudo-spheres of R2,1a1a2a3. We adapt the Rodrigues, Cayley, and Householder methods to R2,1a1a2a3and define hyperbolic split quaternions to obtain an hyperbolical rotation matrix.
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http://hdl.handle.net/20.500.12566/450
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  • Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
  • Scopus İndeksli Yayınlar Koleksiyonu
  • WOS İndeksli Yayınlar Koleksiyonu

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