Atlas175 of 3,942

Yarn VI.14.A

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

Yarn VI.14.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 94.012 time units, published by Šuvakov & Dmitrašinović (2013). Dense skeins of thread wound around a hollow core. It is unstable (largest Floquet multiplier 625.9), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0184 of each other at a top speed of 7.35, line up 112 times a period, and the computed loop closes to 1.5×10⁻²⁶.

Measured over one period

Period: 94.01194214
Masses: 1 : 1 : 1
Energy: -1.48104
Angular momentum: 0
Closest approach: 0.01844
Top speed: 7.348
Path length: 244.21
Alignments per period: 112
Topology: (abaBAbabAB)⁷ (free-group class)
Stability: unstable (|λ|max 625.9)
Loop closure: 1.5×10⁻²⁶

Neighbours on the map

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