A New Expression for Higher Order Accelerations and Poles Under the One Parameter Planar Hyperbolic Homothetic Motions

详细信息    查看全文

• 作者：Serdal Şahin ; Salim Yüce
• 关键词：Mathematics Subject ClassificationPrimary 53A17 ; Secondary 11E88
• 刊名：Advances in Applied Clifford Algebras
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：26
• 期：3
• 页码：1061-1068
• 全文大小：443 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Mathematical Methods in Physics
  Mathematical and Computational Physics
  Applications of Mathematics
  Physics
  
• 出版者：Birkh盲user Basel
• ISSN：1661-4909
• 卷排序：26

文摘

The one parameter planar hyperbolic homothetic motion was introduced in Ersoy and Akyigit (Adv Appl Clifford Algebras 21:297–313, 2011). We give a formula for higher order accelerations and poles under this motion. In the case of the homothetic rate \({h\equiv 1}\) we obtain the higher order accelerations and poles under one parameter planar hyperbolic motion which was given by Sahin and Yüce (Math Probl Eng 2014, 2014). Also, the higher order velocities and accelerations are analyzed by taking the angle of the rotation instead of the parameter of the motion.