Atlas179 of 3,942

Yarn VI.4.A

From Šuvakov & Dmitrašinović (2013). Sequences of orbits from the Belgrade three-body gallery.

Yarn VI.4.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 29.707 time units, published by Šuvakov & Dmitrašinović (2013). Dense skeins of thread wound around a hollow core. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0793 of each other at a top speed of 3.56, line up 32 times a period, and the computed loop closes to 4.1×10⁻²⁹.

Measured over one period

Period: 29.70686631
Masses: 1 : 1 : 1
Energy: -1.38482
Angular momentum: 0
Closest approach: 0.07932
Top speed: 3.564
Path length: 74.917
Alignments per period: 32
Topology: abaBAbabAB (free-group class, shape period T/2)
Stability: stable (|λ|max 1.000)
Loop closure: 4.1×10⁻²⁹

Neighbours on the map

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