Rotate objects around an anchor point but each object stays in it's original orientation
See attached image to help make sense of my ramblings.
This may already be an option that I'm not aware of but I'd love the ability to rotate objects around a point but those objects NOT to be rotated but just repositioned. In the example I attached, I want to be able to rotate the outer orange circles around the centre point of the blue circle. When I do this, the circles and text rotate. This is a simple example but I think it's got potential on more complex things.
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Just like this
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Steve, you can make each orange circle an instance of a symbol and rotate them around the center of the blue circle. Then Reset Transformations for all instances via the Symbols panel’s menu to return them to their original 0 angle.
And perhaps you might want to try this free Arranger extension: https://exchange.adobe.com/creativecloud.details.100201.arranger.html
It does not do exactly what you want, but you can work around. I prefer the symbol way :)