2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/199996We calculate the transformation and inverse transformation, in the form of Taylor expansions, from arbitrary coordinates to Fermi-Walker coordinates in tubular neighborhoods of arbitrary timelike paths for general spacetimes. Explicit formulas for coefficients and the Jacobian matrix are given.23 pages. Corrected typos in the last two equations. Accepted for publication in Classical and Quantum GravityGeneral Relativity and Quantum Cosmologytext