Atlas68 of 3,915

Yin-Yang III.12.Aβ

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

Yin-Yang III.12.Aβ is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 55.789 time units, published by Šuvakov & Dmitrašinović (2013). Two interlocking halves whose lobes wrap around each other. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.000195 of each other at a top speed of 71.6, line up 80 times a period, and the computed loop closes to 4.2×10⁻²⁵.

Measured over one period

Period: 55.78932723
Masses: 1 : 1 : 1
Energy: -1.65142
Angular momentum: 0
Closest approach: 2.0×10⁻⁴
Top speed: 71.61
Path length: 146.64
Alignments per period: 80
Stability: stable (|λ|max 1.000, published)
Loop closure: 4.2×10⁻²⁵

Neighbours on the map

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