On the Issue of the Trajectory of a Freely Falling Body in Noninertial Frames of Reference

A system of differential equations describing the motion of a freely falling body from the point of view of an observer fixed in the center of the standard basis of a specified plane curve and moving together with it has been obtained. Using computer simulation, respective trajectories have been built for two cases: with the observer moving along the circumference either with a constant angular velocity or with an angular velocity varying in accordance with specified laws in the form of a cosine and in the form of a Bessel function.