Error of the radial coordinate r_cyl that is computed by our implementation of the Leapfrog algorithm for cylindrical geometries relative to the coordinate that is calculated by the already implemented algorithm for Cartesian geometries. We conduct two equivalent simulations of a particle in a point mass gravitational potential, one applying the former and one the latter algorithm. Both simulations end after ten Keplerian orbital periods at the initial position of the particle P_K,0. As can be seen, the relative error, while varying, is at most 2 × 10⁻³.