5: 9-resonant<br> hip-hop orbit<br>
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Spatial choreographies
Spatial 6
A curated gallery of numerically continued choreographies and their animated trajectories.
Overview
These examples are spatial choreographies arising from vertical and axial Lyapunov families. Their projections in the $xy$-plane have winding number $l$ and rotational symmetry of order $m$.
Vertical branches carry reflection symmetries in the $y$ and $z$ directions, whereas axial branches retain the combined reflection $(-y,-z)$ after choosing the $x$-axis through the center of the orbit.
Gallery
5: 9 resonant <br> axial orbit <br>
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11: 15 resonant <br> axial orbit
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