Atlas73 of 3,915

Yin-Yang III.21.Aβ

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

Yin-Yang III.21.Aβ is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 92.981 time units, published by Šuvakov & Dmitrašinović (2013). Two interlocking halves whose lobes wrap around each other. It is weakly unstable (largest Floquet multiplier 1.925), so a small nudge makes it unravel over a few periods. The bodies pass within 0.001 of each other at a top speed of 31.6, line up 140 times a period, and the computed loop closes to 2.0×10⁻²⁵.

Measured over one period

Period: 92.98126065
Masses: 1 : 1 : 1
Energy: -1.70610
Angular momentum: 0
Closest approach: 10.0×10⁻⁴
Top speed: 31.63
Path length: 248.95
Alignments per period: 140
Stability: weakly unstable (|λ|max 1.925)
Loop closure: 2.0×10⁻²⁵

Neighbours on the map

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