Affiliation:
1. DUZCE UNIVERSITY, FACULTY OF ARTS AND DESIGN
2. CANKIRI KARATEKIN UNIVERSITY
3. SAKARYA UNIVERSITY
Abstract
The concept of a pair of curves, called as Bertrand partner curves, was introduced by Bertrand in 1850. Bertrand partner curves have been studied widely in the literature from past to present. In this study, we take into account of the concept of Bertrand partner trajectories according to Positional Adapted Frame (PAF) for the particles moving in 3-dimensional Euclidean space. Some characterizations are given for these trajectories with the aid of the PAF elements. Then, we obtain some special cases of these trajectories. Moreover, we provide a numerical example.
Publisher
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
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