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Choreography CH.299

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

Choreography CH.299 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 664.89 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 0.495 of each other at a top speed of 1.48, line up 708 times a period, and the computed loop closes to 1.4×10⁻²⁷.

Measured over one period

Period: 664.8939722
Masses: 1 : 1 : 1
Energy: -1.39036
Angular momentum: 0
Closest approach: 0.4948
Top speed: 1.479
Path length: 1808.1
Alignments per period: 708
Topology: (abAB)¹¹⁸ (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.4×10⁻²⁷

Neighbours on the map

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