On the jerk and snap in motion along non-lightlike curves in Minkowski 3-space

In this paper, we study the jerk vector that is the rate of change of the acceleration vector over time. In three-dimensional space, the decomposition of the jerk vector is a new concept in the field. This decomposition expresses the jerk vector as the sum of three unique components in specific directions: the tangential direction, the radial direction in the osculating plane, and the radial direction in the rectifying plane. The snap vector is the rate of change of the jerk vector over time. In this paper, the authors examine non-relativistic particles moving along non-lightlike Frenet curves at low speeds compared to the speed of light in Minkowski 3-space. They resolve the jerk and snap vectors using Frenet–Serret frames. Additionally, the cases for motion along non-lightlike Frenet planar curves in the Minkowski 3-space are given as corollaries. To help understand these results, the paper provides some illustrative examples