Atlas3,157 of 3,942

Choreography TC.174

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

Choreography TC.174 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 344.53 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 0.56 of each other at a top speed of 1.4, line up 264 times a period, and the computed loop closes to 7.1×10⁻²⁸.

Measured over one period

Period: 344.5262158
Masses: 1 : 1 : 1
Energy: -1.11650
Angular momentum: 0
Closest approach: 0.5598
Top speed: 1.401
Path length: 836.06
Alignments per period: 264
Topology: (abAB)⁴⁴ (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 7.1×10⁻²⁸

Neighbours on the map

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