Dual Lorentzian spherical motions and dual Euler-Savary formula

Abstract

In this paper, defining one-parameter dual Lorentzian motion in three-dimensional dual Lorentzian space D(1)(3) and we have obtained the relations between the absolute, relative and sliding velocities of these motions. In addition we have given the interconnections between one-parameter dual Lorentzian motion in three-dimensional dual Lorentzian space D(1)(3) and one-parameter Lorentzian motion in three-dimensional Lorentzian space, IR(1)(3) . Furthermore, the correlations between the fixed and the moving dual pole curves of one-parameter dual Lorentzian motion have been obtained. At the end of the study dual Euler-Savary formula for one-parameter dual Lorentzian motion has been given. (c) 2009 Elsevier Masson SAS. All rights reserved.