Atlas3,144 of 3,942

Choreography CH.438

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

Choreography CH.438 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 827.73 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 0.357 of each other at a top speed of 1.75, line up 978 times a period, and the computed loop closes to 2.0×10⁻²⁷.

Measured over one period

Period: 827.7342893
Masses: 1 : 1 : 1
Energy: -1.49009
Angular momentum: 0
Closest approach: 0.3575
Top speed: 1.752
Path length: 2309.0
Alignments per period: 978
Topology: (abAB)¹⁶³ (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.0×10⁻²⁷

Neighbours on the map

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