Karakus, FatmaYayli, Yusuf2025-03-232025-03-2320160188-70091661-4909https://doi.org/10.1007/s00006-015-0582-5https://hdl.handle.net/11486/7022In this paper Fermi-Walker derivative and Fermi-Walker parallelism and non-rotating frame concepts are given along the spherical indicatrix of a timelike curve in . First, we consider a timelike curve in the Minkowski space and investigate the Fermi-Walker derivative along the tangent. The concepts which Fermi-Walker derivative are analyzed along its tangent. Then, the Fermi-Walker derivative and its theorems are analyzed along the principal normal indicatrix and the binormal indicatrix of timelike curve in E-1(3).eninfo:eu-repo/semantics/closedAccessFermi-Walker derivativeFermi-Walker parallelismNon-rotating frameTangent indicatrixPrincipal Normal indicatrixBinormal indicatrixHelixSlant HelixArticle26119921510.1007/s00006-015-0582-52-s2.0-84958672670Q3WOS:000370339300014Q2