Atlas174 of 3,942

Yarn VI.6.A

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

Yarn VI.6.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 55.502 time units, published by Šuvakov & Dmitrašinović (2013). Dense skeins of thread wound around a hollow core. It is weakly unstable (largest Floquet multiplier 4.993), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00499 of each other at a top speed of 14.2, line up 48 times a period, and the computed loop closes to 5.5×10⁻²⁶.

Measured over one period

Period: 55.50242096
Masses: 1 : 1 : 1
Energy: -1.19654
Angular momentum: 0
Closest approach: 0.004988
Top speed: 14.22
Path length: 129.18
Alignments per period: 48
Topology: (abaBAbabAB)³ (free-group class)
Stability: weakly unstable (|λ|max 4.993)
Loop closure: 5.5×10⁻²⁶

Neighbours on the map

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