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Moth region HS.389

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.389 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 355.56 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 0.000299 of each other at a top speed of 57.9, line up 344 times a period, and the computed loop closes to 3.5×10⁻²⁴.

Measured over one period

Period: 355.5616500
Masses: 1 : 1 : 1
Energy: -1.29858
Angular momentum: 0
Closest approach: 3.0×10⁻⁴
Top speed: 57.85
Path length: 889.29
Alignments per period: 344
Topology: abaBAbaBAbabABabABabABAbaBAbaBAbabABabABabaBAbaBAbaBABabABabABAbaBAbaBAbabABabABabaBAbaBAbaBABabABabABAbaBAbaBAbabABabABabaBAbaBAbaBABabABabABabaBAbaBAbabABabABabABAbaBAbaBABabABabABabaBAbaBAbabABabABabABAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 3.5×10⁻²⁴

Neighbours on the map

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