Slant Helix Curves and Acceleration Centers in Minkowski 3-Space E-1(3)


Bekar M. , Yayli Y.

JOURNAL OF ADVANCED PHYSICS, vol.6, no.1, pp.133-141, 2017 (Journal Indexed in ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 6 Issue: 1
  • Publication Date: 2017
  • Doi Number: 10.1166/jap.2017.1306
  • Title of Journal : JOURNAL OF ADVANCED PHYSICS
  • Page Numbers: pp.133-141

Abstract

In this study, some basic concepts (e.g., instant screw axis (ISA), instantaneous pole points, acceleration pole points) will be given and analyzed about an alternative one-parameter motion of a rigid-body in 3-dimensional Minkowski space. E-1(3) obtained by moving coordinate frame {N, C, W} along a non-null unit speed curve alpha = alpha(t), where N, C and W correspond to unit principal normal vector field, derivative vector field of unit principal normal vector field and Darboux vector field (or angular-velocity vector field) of the non-null unit speed curve alpha, respectively.y