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Rotation minimizing spherical motions and helices

Murat Aksar,Yusuf Yayli,Seyda Kilicoglu

JOURNAL OF SCIENCE AND ARTS（2023）

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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.
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Key words
spherical motions,rotation minimizing motions,angular velocity,quaternionic helices
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