Fermi-Walker derivative of some curves in Euclidean space

This study consists of five parts. The first chapter is the introduction part of the study. First, the physical definitions and concepts are given and then the information in the literature about the studies on magnetic curves in 3- dimensional Euclidean space is given. In the second part, the basic definitions and theorems used in our study are given. In the third chapter, definitions of T-magnetic, N-magnetic and B-magnetic curves are given according to Frenet frame in 3-dimensional Euclidean space. In the fourth chapter, derivatives of T-magnetic, N-magnetic and B-magnetic curves, Fermi-Walker derivatives, normal Fermi-Walker derivatives, modified (bi-normal) Fermi-Walker derivatives are calculated according to Frenet frame in 3-dimensional Euclidean space. In the fifth section, the energies of derivatives of T-magnetic, N-magnetic and B-magnetic curves, Fermi-Walker derivatives, normal Fermi-Walker derivatives and modified (bi-normal) Fermi-Walker derivatives are calculated according to Frenet frame in 3-dimensional Euclidean space