Atlas70 of 3,915

Yin-Yang III.15.Bα

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

Yin-Yang III.15.Bα is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 85.129 time units, published by Šuvakov & Dmitrašinović (2013). Two interlocking halves whose lobes wrap around each other. It is unstable (largest Floquet multiplier 26.68), so a small nudge makes it unravel over a few periods. The bodies pass within 0.0073 of each other at a top speed of 11.8, line up 100 times a period, and the computed loop closes to 3.7×10⁻²⁶.

Measured over one period

Period: 85.12916434
Masses: 1 : 1 : 1
Energy: -1.44591
Angular momentum: 0
Closest approach: 0.007302
Top speed: 11.76
Path length: 209.97
Alignments per period: 100
Stability: unstable (|λ|max 26.68)
Loop closure: 3.7×10⁻²⁶

Neighbours on the map

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