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Moth region HS.424

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.424 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 358.52 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 0.000887 of each other at a top speed of 33.6, line up 356 times a period, and the computed loop closes to 9.0×10⁻²⁵.

Measured over one period

Period: 358.5172439
Masses: 1 : 1 : 1
Energy: -1.32154
Angular momentum: 0
Closest approach: 8.9×10⁻⁴
Top speed: 33.57
Path length: 905.20
Alignments per period: 356
Topology: abaBAbaBAbabABabABabABAbaBAbaBAbabABabABabaBAbaBAbaBABabABabABabaBAbaBAbaBABabABabABAbaBAbaBAbabABabABabABAbaBAbaBAbabABabABabaBAbaBAbaBABabABabABabaBAbaBAbabABabABabABAbaBAbaBAbabABabABabABAbaBAbaBABabABabABabaBAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 9.0×10⁻²⁵

Neighbours on the map

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