Kinematic models of pursuit problems on the plane by the methods of parallel approach and pursuit

This article provides accurate pursuit models based on the parallel approach and chase methods. This article is a modification of the methods of parallel rapprochement and chasing what happens when the pursuit begins. It cannot instantly change the direction of movement. This should be a less affordable option. The proposed method is based on the fact that the pursuer chooses a step at the iteration stage and will try to follow the predicted trajectories. Based on the materials of the article, test programs have been written that calculate the trajectories of the pursuer taking into account the stated conditions. Execution of animated images visualizes the change in the coordinates of the pursuer, target, and predicted time trajectories.