ROTATION MINIMIZING SPHERICAL MOTIONS AND HELICES


Aksar M., YAYLI Y., Kilicoglu S.

JOURNAL OF SCIENCE AND ARTS, no.1, pp.137-148, 2023 (ESCI)

  • Publication Type: Article / Article
  • Publication Date: 2023
  • Doi Number: 10.46939/j.sci.arts-23.3-a11
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.137-148
  • Keywords: spherical motions, rotation minimizing motions, angular velocity, quaternionic helices
  • Ankara University Affiliated: Yes

Abstract

In this study we give the structure of the motion RMM with the spherical curve orbit by using rotation minimizing frames (RMF). Further, quaternionic helices and their characterizations of being CCR curve are given with the help of unit quaternions which are related spherical frame motion.