Atlas3,186 of 3,942

Choreography CH.341

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

Choreography CH.341 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 662.04 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 0.342 of each other at a top speed of 1.86, line up 822 times a period, and the computed loop closes to 5.9×10⁻²⁸.

Measured over one period

Period: 662.0417960
Masses: 1 : 1 : 1
Energy: -1.54019
Angular momentum: 0
Closest approach: 0.3415
Top speed: 1.856
Path length: 1869.1
Alignments per period: 822
Topology: (abAB)¹³⁷ (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 5.9×10⁻²⁸

Neighbours on the map

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