One-Parameter Planar Motion in Affine Cayley-Klein Planes

Authors

  • Nurten Bayrak Gurses YILDIZ TECHNICAL UNIVERSITY
  • Salim Yuce

Keywords:

Cayley-Klein planes, one-parameter planar motion, kinematics.

Abstract

In 1956, H.R. Muller introduced the one-parameter planar motions and obtained the relation between absolute, relative, sliding velocities and accelerations in the Euclidean plane E^2, [3]. A. A. Ergin [4] considering the Lorentzian plane L^2, instead of the Euclidean plane E^2, introduced the one-parameter planar motions in the Lorentzian plane L^2 and also gave the relations between the velocities and accelerations in 1991. In addition to this, in 2013, S. Yuce, [1], introduced the one-parameter motions in the Galilean plane G^2 and gave same concepts stated above.In this paper, we will introduce one parameter planar motions in affine Cayley-Klein (CK) planes Pϵ and we will discuss the relations between absolute, relative, sliding velocities and accelerations.

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Published

2014-08-01

Issue

Vol. 7 No. 3: (July 2014)

Section

Differential Geometry

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How to Cite

One-Parameter Planar Motion in Affine Cayley-Klein Planes. (2014). European Journal of Pure and Applied Mathematics, 7(3), 335-342. https://www.ejpam.com/index.php/ejpam/article/view/2252