Homing Rockets lock-on range

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It seems the HUD only displays lock-ons that are within a certain area around CJ, but this area doesn't represent the actual range of the rockets homing at all
I made a picture that tries to explain it
http://i.imgur.com/OP3Q6u4.png
The boat in the middle represents the target.
The black circles represent CJ.
The blue circle around the boat represents an equal distance from the boat (to show that the CJ's are the same distance from the boat)
All the squares are approximately the same size.
The green square is when the bottom CJ just looks straight at the boat. It DOESN'T reach the boat.
The orange square is when the bottom CJ looks 45 degrees away from the boat (either left or right). It DOES reach the boat
The red square is when a CJ that is already diagonal to the boat looks 45 degress away from it. It DOES reach the boat.
I hope that helps explain it, I'm not sure how else to do it