Atlas69 of 3,915

Yin-Yang III.3.Aα

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

Yin-Yang III.3.Aα is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 17.329 time units, published by Šuvakov & Dmitrašinović (2013). Two interlocking halves whose lobes wrap around each other. It is weakly unstable (largest Floquet multiplier 1.905), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0133 of each other at a top speed of 8.72, line up 20 times a period, and the computed loop closes to 1.5×10⁻²⁷.

Measured over one period

Period: 17.32881010
Masses: 1 : 1 : 1
Energy: -1.42901
Angular momentum: 0
Closest approach: 0.01328
Top speed: 8.722
Path length: 42.502
Alignments per period: 20
Stability: weakly unstable (|λ|max 1.905)
Loop closure: 1.5×10⁻²⁷

Neighbours on the map

All Yin-Yang III orbits, the families of periodic three-body orbits, or the atlas map.