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Moth region HS.329

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.329 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 312.4 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 0.0000892 of each other at a top speed of 106, line up 328 times a period, and the computed loop closes to 3.5×10⁻²³.

Measured over one period

Period: 312.4013555
Masses: 1 : 1 : 1
Energy: -1.36317
Angular momentum: 0
Closest approach: 8.9×10⁻⁵
Top speed: 105.9
Path length: 782.20
Alignments per period: 328
Topology: abaBAbabABabaBAbabABabaBAbaBABabABAbaBABabABAbaBAbabABabaBAbabABabaBAbabABabABAbaBABabABAbaBABabABAbaBAbabABabaBAbabABabaBAbabABabABAbaBABabABAbaBABabABabaBAbabABabaBAbabABabaBAbaBABabABAbaBABabABAbaBABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 3.5×10⁻²³

Neighbours on the map

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