Planar 9



Each choreography is winding $l$ times around a center and invariant by rotations of $2\pi/m$. Also, the bodies move in groups of $h$ polygons, where $h$ is maximum common divisor of $n$ and $k$. In addition, these choreographies are symmetric by a reflection in the plane.

5 : 2 resonant
orbit for k = 4
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2 : 1 resonant
orbit for k = 5
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4 : 3 resonant
orbit for k = 3
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5 : 3 resonant
orbit for k = 6
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5 : 1 resonant
orbit for k = 2
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5 : 1 resonant
orbit for k = 2
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