Atlas3,125 of 3,942

Choreography CH.407

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

Choreography CH.407 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 824.12 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 0.406 of each other at a top speed of 1.63, line up 906 times a period, and the computed loop closes to 1.2×10⁻²⁷.

Measured over one period

Period: 824.1152487
Masses: 1 : 1 : 1
Energy: -1.42023
Angular momentum: 0
Closest approach: 0.4061
Top speed: 1.627
Path length: 2257.8
Alignments per period: 906
Topology: (abAB)¹⁵¹ (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.2×10⁻²⁷

Neighbours on the map

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