Atlas71 of 3,915

Yin-Yang III.15.Aα

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

Yin-Yang III.15.Aα is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 70.493 time units, published by Šuvakov & Dmitrašinović (2013). Two interlocking halves whose lobes wrap around each other. It is linearly stable (largest Floquet multiplier 1.001), so a small nudge only makes it wobble. The bodies pass within 0.000768 of each other at a top speed of 36.1, line up 100 times a period, and the computed loop closes to 5.0×10⁻¹³.

Measured over one period

Period: 70.49255806
Masses: 1 : 1 : 1
Energy: -1.63961
Angular momentum: 0
Closest approach: 7.7×10⁻⁴
Top speed: 36.07
Path length: 184.88
Alignments per period: 100
Stability: stable (|λ|max 1.001)
Loop closure: 5.0×10⁻¹³

Neighbours on the map

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