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Choreography CH.343

From Hristov, Hristova, Puzynin, Puzynina, Sharipov & Tukhliev (2023)

Choreography CH.343 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 723.33 time units, published by Hristov, Hristova, Puzynin, Puzynina, Sharipov & Tukhliev (2023). All three bodies follow one closed curve, each a third of a period behind the next. Every one here is linearly stable. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.379 of each other at a top speed of 1.7, line up 822 times a period, and the computed loop closes to 5.7×10⁻²⁸.

Measured over one period

Period: 723.3315972
Masses: 1 : 1 : 1
Energy: -1.45195
Angular momentum: 0
Closest approach: 0.3786
Top speed: 1.699
Path length: 1997.7
Alignments per period: 822
Stability: stable (|λ|max 1.000, published)
Loop closure: 5.7×10⁻²⁸

Neighbours on the map

All Choreographies, the families of periodic three-body orbits, or the atlas map.