gambit
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Depends on the radar system design.Typically, how long is one sweep cycle?
If the design is mechanical, then a sweep cycle is governed by the motor that move the antenna. For a missile which would naturally have a limited frontal view, the antenna would be sweeping side-side, a single sweep could be less than one sec.
It is very difficult to achieve target lock in one scan, even if the system is ESA type and even when the target is as large and slow as a ship. The first scan is for general detection for any body or bodies in the radar's view. The second and third scans would be for update just in case any of those bodies have changed spatial locations. So the situation could be for the missile to take up to ten seconds to digest the radar view of the area and to assign priorities, not yet homing in on a specific target programmed. Of course, the smaller the radar view, the less time required to process all these electronics data, but then the smaller the radar view, the greater the odds of missing that large prize.
This is why flying low and fast is not always the best solution, especially against mobile targets and even when that target is a slow moving ship. In a ship versus missile engagement, if the missile missed by just one meter, the ship win.