Atlas189 of 3,942

Moth VIIb.20.A

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

Moth VIIb.20.A is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 88.049 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 0.0013 of each other at a top speed of 27.7, line up 134 times a period, and the computed loop closes to 9.3×10⁻²⁵.

Measured over one period

Period: 88.04890028
Masses: 1 : 1 : 1
Energy: -1.71465
Angular momentum: 0
Closest approach: 0.001303
Top speed: 27.70
Path length: 234.73
Alignments per period: 134
Topology: ababABAbabABAbabABAbabABAbabABAbabABAbabABABabaBABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 9.3×10⁻²⁵

Neighbours on the map

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