leadpursuit

Lead pursuit is a pursuit strategy in which the pursuer aims at a point ahead of the target's current position, predicting where the target will be when the pursuer reaches that point. The aim is to compensate for time-of-flight and target motion, increasing the likelihood of intercept when the pursuer moves faster than the target.

Lead pursuit contrasts with pure pursuit, which targets the current position, and lag pursuit, which aims behind the target. In lead pursuit, the pursuer maintains a heading that tends toward the target's velocity vector to intercept along the target's path. The technique is commonly discussed in the context of aerial combat, missile guidance, and pursuit problems in classical mechanics.

In simple models with constant-speed motion, the lead point is selected based on the relative speeds and the target's velocity; the pursuer must be able to change heading and maintain a line-of-sight angle to the lead point. More sophisticated guidance laws, such as proportional navigation, approximate intercept by driving the line-of-sight rate to zero, effectively creating a lead that adapts to target maneuvering.

Limitations include dependence on the pursuer's turning capability and speed, sensor latency, and target maneuvers. If the pursuer is too slow or insufficiently maneuverable, lead pursuit may fail to converge, requiring alternative strategies or higher-level planning. The concept also applies to robotics, autonomous interception tasks, and predator-prey dynamics in biology.