Choreographic Three Bodies on the Lemniscate: GIF animation
Potential
U_{12}(t)+U_{13}(t)+U_{01}(t)
with
x_{1}(t)
(red circle),
where U_{ij} = 1/2*log r_{ij}
and U_{01} = -sqrt{3}/8*r_{1}^2.
Potential
V_{12}(t)+V_{13}(t)
with
x_{1}(t)
(red circle),
where
V_{ij}=1/2*log r_{ij} -sqrt{3}/24*r_{ij}^2.
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