The Fermi–Walker Derivative in Minkowski Space E13\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${E_{1}^{3}}$$\end{document}

In this study Fermi–Walker derivative, Fermi–Walker parallelism, non-rotating frame, Fermi–Walker terms Darboux vector concepts are given for Minkowski 3-space E13\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${E_{1}^{3}}$$\end{document}. First, we get any spacelike curve with a spacelike or timelike principal normal and any vector field along the curve in Minkowski 3-space E13\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${E_{1}^{3}}$$\end{document}. Fermi–Walker derivative and Fermi–Walker parallelism are analyzed for any spacelike curve with a spacelike or timelike principal normal in Minkowski 3-space E13\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${E_{1}^{3}}$$\end{document} and the necessary conditions to be Fermi–Walker parallel are explained. Then the necessary definitions, concepts and theorems are analyzed about Fermi–Walker derivative for any spacelike curve with a lightlike(null) principal normal. And then, in Minkowski 3-space E13\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${E_{1}^{3}}$$\end{document} Fermi–Walker derivative is analyzed for any timelike curves.