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Choreography CH.322

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

Choreography CH.322 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 725.2 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 0.511 of each other at a top speed of 1.44, line up 750 times a period, and the computed loop closes to 2.7×10⁻²⁸.

Measured over one period

Period: 725.2035740
Masses: 1 : 1 : 1
Energy: -1.36356
Angular momentum: 0
Closest approach: 0.5115
Top speed: 1.444
Path length: 1955.1
Alignments per period: 750
Topology: (abAB)¹²⁵ (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.7×10⁻²⁸

Neighbours on the map

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