Atlas2,801 of 3,942

Moth region HS.676

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.676 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 457.97 time units, published by Hristov, Hristova & Tanikawa (2026). Stable orbits from the moth-like part of the search domain, between the figure-eight and the Schubart regions. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0002 of each other at a top speed of 70.7, line up 444 times a period, and the computed loop closes to 1.7×10⁻²³.

Measured over one period

Period: 457.9737180
Masses: 1 : 1 : 1
Energy: -1.29994
Angular momentum: 0
Closest approach: 2.0×10⁻⁴
Top speed: 70.65
Path length: 1144.2
Alignments per period: 444
Topology: abaBAbaBAbabABabABabaBAbaBAbabABabABabABAbaBAbaBABabABabABAbaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbaBABabABabABAbaBAbaBABabABabABAbaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbaBABabABabABAbaBAbaBABabABabABabaBAbaBAbabABabABabaBAbaBAbabABabABabABAbaBAbaBABabABabABAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.7×10⁻²³

Neighbours on the map

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