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Moth region HS.631

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.631 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 444.34 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 0.000175 of each other at a top speed of 75.7, line up 432 times a period, and the computed loop closes to 1.7×10⁻²³.

Measured over one period

Period: 444.3449480
Masses: 1 : 1 : 1
Energy: -1.30215
Angular momentum: 0
Closest approach: 1.7×10⁻⁴
Top speed: 75.66
Path length: 1110.2
Alignments per period: 432
Topology: abaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbabABabABabABAbaBAbaBABabABabABAbaBAbaBABabABabABAbaBAbaBABabABabABAbaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbaBABabABabABAbaBAbaBABabABabABAbaBAbaBABabABabABAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.7×10⁻²³

Neighbours on the map

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