Veering off topic a bit, but you might be interested in planar n-body coreographies. Not that they exist in nature, but... http://www.maths.manchester.ac.uk/~

Veering off topic a bit, but you might be interested in planar n-body coreographies. Not that they exist in nature, but... http://www.maths.manchester.ac.uk/~jm/Choreographies/ http://www.maths.manchester.ac.uk/~jm/Choreographies/