Perfect center of mass with drawn body

So I have a little doodle that I’m trying to turn into a little space ship with thrusters and the like. My problem is that the doodle isn’t perfect and will never be perfect, either due to anti-aliasing or the way it’s traced into polygons, or whatever. Visually, it’s fine, but it throws off the physics because it’s not perfectly balanced anymore.

What is the technique for getting this thing to behave how I want it to behave, i.e. perform collisions on my shape but somehow get the center of mass where it belongs so it behaves the right way?

Thanks much for any help.
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How are you defining the physics body shape? Instead of a hand-drawn body you could simply use a circle which might be good enough, or figure out x,y coordinates of a shape that fits the art better but is perfectly symmetrical. Graph paper might help in that case. [import]uid: 9422 topic_id: 11782 reply_id: 42985[/import]