Bertrand partner P-trajectories in the Euclidean 3-space $E^3$

Year 2023, Volume: 72 Issue: 1, 216 - 228, 30.03.2023

Zehra İşbilir , Kahraman Esen Özen , Murat Tosun

https://doi.org/10.31801/cfsuasmas.1094170

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.

Keywords

Kinematics of a particle, Bertrand curves, positional adapted frame

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