Atlas3,164 of 3,942

Choreography CH.394

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

Choreography CH.394 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 766.9 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 0.338 of each other at a top speed of 1.81, line up 894 times a period, and the computed loop closes to 3.0×10⁻²⁷.

Measured over one period

Period: 766.9045942
Masses: 1 : 1 : 1
Energy: -1.47677
Angular momentum: 0
Closest approach: 0.3377
Top speed: 1.812
Path length: 2128.1
Alignments per period: 894
Topology: (abAB)¹⁴⁹ (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 3.0×10⁻²⁷

Neighbours on the map

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