One Parameter Elliptical Planar Motion

One Parameter Elliptical Planar Motion

In order to describe the elliptical planar motion, two moving and one fixed elliptical planes have been considered. Thus, one parameter elliptical planar motion is defined by the help of these planes. The absolute, relative and sliding velocities have been obtained and the relation between these velocities have been proven. Also, pole points of the elliptical planar motion have been derived. Finally, some results have been given regarding to the absolute, relative, sliding velocities and the pole points of elliptical planar motion.

___

  • [1] H. R. Müller, Kinematik, Sammlung Gauschen, Walter de Gruyter, Berlin, 1963.
  • [2] W. Blaschke, H.R. Müller, Ebene Kinematik, Verlag Von R., Oldenbourg, München, 1956.
  • [3] N. Kuruoğlu, A. Tutar, M. Düldül, On the moving coordinate systems on the complex plane and pole points, Bull. Pure Appl. Sci. Sec. E Math. Stat., 20(1) (2001), 1-6.
  • [4] N. T. Sa Pereira, S. Ersoy, Elliptical harmonic motion and Euler-Savary formula, Adv. Appl. Clifford Algebr., 26(2) (2016), 731-755.
  • [5] M. Özdemir, An alternative approach to elliptical motion, Adv. Appl. Clifford Algebr., 26(1) (2016), 279-304.