AbstractPlanar constant‐speed interception of an evader moving along a known trajectory is considered as a time‐optimal control problem. The condition which guarantees that the optimal trajectory of the pursuer consists of an initial turn at the maximum turning rate followed by a straight line segment is established. This condition is expressed as an inequality satisfied by the ratio of the minimum turning radius of the pursuer and the initial range, also called the geometrical singular perturbation parameter. The upper bound of this parameter is computed as a function of other non‐dimensional parameters of the interce
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