Atlas192 of 3,942

Moth VIIb.9.A

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

Moth VIIb.9.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 53.471 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 0.00674 of each other at a top speed of 12.2, line up 58 times a period, and the computed loop closes to 1.5×10⁻²⁶.

Measured over one period

Period: 53.47149143
Masses: 1 : 1 : 1
Energy: -1.38847
Angular momentum: 0
Closest approach: 0.006737
Top speed: 12.19
Path length: 133.86
Alignments per period: 58
Topology: abaBAbabABabaBAbabABAbaBABabABAbaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.5×10⁻²⁶

Neighbours on the map

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