Previous research has shown that falcons intercept prey using the same guidance law as homing missiles, called proportional navigation. This guidance law is optimal against smoothly-manoeuvring aerial targets, but is prone to being thrown off by the zigzagging manoeuvres of terrestrial prey like hares or jackrabbits, and will not necessarily lead to a feasible flight path through the cluttered habitats that hawks frequent.
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Source: Phys.org