Atlas3,170 of 3,942

Choreography CH.445

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

Choreography CH.445 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 807.94 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 0.348 of each other at a top speed of 1.83, line up 1002 times a period, and the computed loop closes to 1.4×10⁻²⁷.

Measured over one period

Period: 807.9362471
Masses: 1 : 1 : 1
Energy: -1.53904
Angular momentum: 0
Closest approach: 0.3484
Top speed: 1.833
Path length: 2280.8
Alignments per period: 1002
Topology: (abAB)¹⁶⁷ (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.