Atlas2,766 of 3,942

Moth region HS.338

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.338 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 306.42 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 0.000185 of each other at a top speed of 73.5, line up 332 times a period, and the computed loop closes to 2.0×10⁻²⁴.

Measured over one period

Period: 306.4194378
Masses: 1 : 1 : 1
Energy: -1.38730
Angular momentum: 0
Closest approach: 1.9×10⁻⁴
Top speed: 73.51
Path length: 766.49
Alignments per period: 332
Topology: abaBAbabABabaBAbabABAbaBABabABAbabABabaBAbabABabaBABabABAbaBABabABAbabABabaBAbabABabaBABabABAbaBABabABAbabABabaBAbabABabaBABabABAbaBABabaBAbabABabaBAbabABAbaBABabABAbaBABabaBAbabABabaBAbabABAbaBABabABAbaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.0×10⁻²⁴

Neighbours on the map

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