Atlas196 of 3,942

Moth VIIb.7.A

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

Moth VIIb.7.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 33.868 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 0.0059 of each other at a top speed of 13, line up 46 times a period, and the computed loop closes to 9.7×10⁻²⁷.

Measured over one period

Period: 33.86775072
Masses: 1 : 1 : 1
Energy: -1.60202
Angular momentum: 0
Closest approach: 0.005905
Top speed: 13.01
Path length: 89.368
Alignments per period: 46
Topology: abaBAbabABAbabABAbaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 9.7×10⁻²⁷

Neighbours on the map

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