Atlas193 of 3,942

Moth VIIb.10.A

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

Moth VIIb.10.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 46.134 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 0.00116 of each other at a top speed of 29.4, line up 66 times a period, and the computed loop closes to 5.5×10⁻²⁵.

Measured over one period

Period: 46.13407355
Masses: 1 : 1 : 1
Energy: -1.65573
Angular momentum: 0
Closest approach: 0.001158
Top speed: 29.39
Path length: 123.16
Alignments per period: 66
Topology: abaBAbabABAbabABAbabABAbaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 5.5×10⁻²⁵

Neighbours on the map

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