Karakus, FatmaYayli, Yusuf2025-03-232025-03-2320160188-70091661-4909https://doi.org/10.1007/s00006-015-0597-yhttps://hdl.handle.net/11486/7021In this paper Fermi-Walker derivative and Fermi-Walker parallelism and non-rotating frame concepts are given along the spherical indicatrix of a curve in E (3). First, we consider a curve in Euclid 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 any curve in E-3.eninfo:eu-repo/semantics/closedAccessFermi-Walker derivativeFermi-Walker parallelismNon-rotating frameTangent indicatrixPrincipal normal indicatrixBinormal indicatrixHelixArticle26118319710.1007/s00006-015-0597-y2-s2.0-84958669916Q3WOS:000370339300013Q2