Atlas65 of 3,915

Yin-Yang III.18.Aα

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

Yin-Yang III.18.Aα is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 84.855 time units, published by Šuvakov & Dmitrašinović (2013). Two interlocking halves whose lobes wrap around each other. It is weakly unstable (largest Floquet multiplier 1.193), so a small nudge makes it unravel over a few periods. The bodies pass within 0.00105 of each other at a top speed of 30.9, line up 120 times a period, and the computed loop closes to 8.8×10⁻²⁵.

Measured over one period

Period: 84.85510496
Masses: 1 : 1 : 1
Energy: -1.63624
Angular momentum: 0
Closest approach: 0.001051
Top speed: 30.85
Path length: 222.43
Alignments per period: 120
Stability: weakly unstable (|λ|max 1.193)
Loop closure: 8.8×10⁻²⁵

Neighbours on the map

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