normal fermi-walker derivative in e^3 1

In this paper, firstly, in e^3 1, we defined normal fermi-walker derivative and applied for the adapted frame. normal fermi-walker parallelism, normal non-rotating frame, and darboux vector expressions of normal fermi-walker derivative by normal fermi-walker derivative are given for adapted frame. being conditions of normal fermi-walker derivative and normal non-rotating frame are examined for frames throughout spacelike, timelike, lightlike curves. it is shown that the vector field which takes part in [17] is normal fermi-walker parallel by the normal fermi-walker derivative throughout the spacelike, timelike, and lightlike general helix. also, we show that the frenet frame is a normal non-rotating frame using the normal fermi-walker derivative. afterward, we testified that the adapted frame is a normal non-rotating frame throughout the spacelike, timelike, and lightlike general helix.