How can I rotate a shape around a centre point in Illustrator?

Hi all,
I'm trying to make a pattern in Illustrator and I need to repeat a shape around a centre point, a bit like placing petals around the stigma of a flower. I can do it in Photoshop by moving the centre point of the bounding box to where I want to rotate the shape around, how can I do it in Illustrator?
I also want to define this as a shape/pattern and use in Photoshop, how do I go about this?
Many thanks,
Foxy

The centroid of a straight-sided polygon is located at the average of its corner points locations. For a given path (a star, for example) you can:
1. Select the path.
2. Copy. PasteInFront.
3. Object>Path>Average>Both.
For objects with curved segments, you can approximate the centroid by:
1. Select the path.
2. Copy. PasteInFront.
3. Apply some command that adds a bunch of points along the curves (Object>Path>Add Anchor Points, or ZigZag with zero for Size).
4. Object>Path>Average>Both.
If you have alot of paths you need to do that for all at once (as when designing a hanging mobile), I have a simple Javascript for that.
JET

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