Heres a formula you can use:
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(((KNOTS * 0.514444444)^2)/(tan(BANK ANGLE)*9.8))/1852
9.8 is the speed of gravity in meters per second per second.
1852 is the ammount of meters to a nautical mile
You can punch this into google to calculate:
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(((%SPEED% * 0.514444444)^2)/(tan %ANGLE% deg*9.8))/1852
As a general rule:
120knots, 30 degrees is a 0.363NM turn radius.
240knots, 30 degrees is a 1.454NM turn radius.
To do it backwards to get the radius:
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sqrt(%RADIUS%*1852 * tan (%ANGLE% deg) * 9.8) / 0.5144444444
~200knots, 30 degrees gives a 1.0nm turn radius
So know the magic numbers to turn at 30 degrees and you're golden! (141 for half nm, 200 for a full nm)