Planar n+1



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.

4:3 resonant orbit for 7+1 bodies
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5:2 resonant
orbit for 7+1 bodies
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5:3 resonant orbit for 7+1 bodies
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5:3 resonant orbit for 8+1 bodies
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5:2 resonant orbit for
8+1 bodies
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7:3 resonant orbit for 7+1 bodies
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