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Periodic choreography

Periodic solutionUnstable

Butterfly I

Orbit: three equal masses weave a compact butterfly-like loop from a symmetric collinear start.

Status: Li and Liao [6] list this among seven original planar cases that depart from the reported periodic orbit in long high-precision CNS runs.

Source: [3] 15-decimal Butterfly I condition; p1 = 0.306892758965492, p2 = 0.125506782829762, T = 6.23564136316479. Open the high-precision condition note

Thin dashed paths are numerical reference traces from the orbit's initial conditions.
Integrator
t = 0.00
zoom 1.00x