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Something like:
Find your co-ordinates for the centre of the circle - 6km north of Tower Bridge.
Each hour mark is at 30 degree increments.
Any point on a circle x,y is x=r*sin(angle), y=r*cos(angle) from vertical.
So 1 o'clock is 6000*sin(30), 6000*cos(30)
Then convert that to lat/long and add/subtract from your central starting point.
etc and so on for the other angles.I think.
If I have a point P on a map say 51.505788,-0.075198 (Tower Bridge), then, for a given radius of a circle, (say 6000 meters), if we assume that P sits at the bottom of this circle, in the 6 o'clock position, then, what co-ordinates would the other 11 hours of the clock be at?