ABSTRACT: The three-dimensional (3D) flight of a golf ball taking into account the Magnus effect is studied in the paper. For this purpose, it is composed of a system of six nonlinear differential equations. To determine the 3D orientation of the ball the rotations around all three axes are given by the so-called Cardan angles instead of classical Euler ones. The high nonlinear system of differential equations is solved numerically by a special program created in the MatLab-Simulink environment. It is founded on the laws of motion, velocities, and accelerations on all six coordinates, as well as the projections of the trajectory of the three coordinate planes. The presented analytical base and numerical results in the paper increase and expand the knowledge in the theory of the general motion of spherical solid and lead to new more extensive research in this complicated area.
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