Instantaneous radius of a rotation

Hello,

I am looking for a solution to my problem about the instantaneous
radius of a rotation.

Let's say I have an aircraft flying with a certain translational speed
(v), it also has a nangular velocity (w). There is an imaginary point
(C) around which this aircraft can be considered to be rotating. I am
looking for the distance from aircraft center to point C ( hence radius
of a rotation ).

I have so far found ways of doing this in 2D but nothing in 3D. Any
ideas appreciated. Thanks !

MDE

.

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