I need to be able to calculate and find the true center of rotation (x,y) of an object after it has been rotated by a known angle.
Previously I would simply find the center of the object, rotate 180 degrees, find the new center of the object, and calculate the midpoint of the line that connects the 2 centers to find the true center of rotation. Now, I don't have the luxury of being able to rotate 180 degrees, instead it will be only 10-15 degrees, but it will be known.
I've searched for a while and haven't found the appropriate equation to solve my particular problem.
Limitation: Only know center of object, cannot use multiple points found on object.
Knowns: Center of object before and after rotation, and angle of rotation
Unknown: True center of rotation
Hopefully the image explains what I'm shooting for