Atlas2,803 of 3,942

Moth region HS.221

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.221 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 272.1 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 0.000548 of each other at a top speed of 42.7, line up 264 times a period, and the computed loop closes to 8.2×10⁻²⁵.

Measured over one period

Period: 272.0979335
Masses: 1 : 1 : 1
Energy: -1.30054
Angular momentum: 0
Closest approach: 5.5×10⁻⁴
Top speed: 42.74
Path length: 679.80
Alignments per period: 264
Topology: abaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbaBABabABabABAbaBAbaBABabABabABAbaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbabABabABabABAbaBAbaBABabABabABAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 8.2×10⁻²⁵

Neighbours on the map

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