Atlas3,173 of 3,915

Choreography CH.358

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

Choreography CH.358 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 681.71 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 0.378 of each other at a top speed of 1.77, line up 834 times a period, and the computed loop closes to 1.2×10⁻²⁷.

Measured over one period

Period: 681.7146798
Masses: 1 : 1 : 1
Energy: -1.52513
Angular momentum: 0
Closest approach: 0.3780
Top speed: 1.770
Path length: 1919.7
Alignments per period: 834
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.