Group pursuit on a plane with detection area simulation

This article describes the model of pursuit by the method of chasing a group of objects. All objects participating in the pursuit model move at a constant modulo speed. The pursuing object moves along a certain trajectory and releases objects at specified intervals. Their task is to overtake the target by the chase method. A single target is tasked with overtaking the pursuer by the constant bearing approach method. A detection area is formed by two half lines for each pursuing object. The object's velocity vector is the bisector of the angle formed by such half-lines. If the target enters the detection area, then the object begins pursuing by the chase method. If the target leaves the detection area, then the object makes a uniform rectilinear movement. The task is to implement a dynamic model of multiple group pursuit with objects having their own tasks and strategies. The model was developed with computer mathematics systems. Animated images were created based on the research results. Targeting methods such as the chase method, the constant-bearing approach method, and the parallel closure method are widely used in military matters. However, they require external control, such as targeting with a laser beam or satellite targeting. Open sources of information lack description of targeting methods in offline mode. The results of the research can be applied to the design of unmanned aerial vehicles with partial autonomous or artificial intelligence control.