Atlas194 of 3,942

Moth VIIb.13.A

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

Moth VIIb.13.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 61.845 time units, published by Šuvakov & Dmitrašinović (2013). Related moths with a different winding of the outer lobes. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00212 of each other at a top speed of 21.7, line up 86 times a period, and the computed loop closes to 1.7×10⁻²⁶.

Measured over one period

Period: 61.84477891
Masses: 1 : 1 : 1
Energy: -1.62322
Angular momentum: 0
Closest approach: 0.002116
Top speed: 21.74
Path length: 163.10
Alignments per period: 86
Topology: abaBAbabABAbabABAbabABAbabABAbaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.7×10⁻²⁶

Neighbours on the map

All Moth VIIb orbits, the families of periodic three-body orbits, or the atlas map.