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Moth region HS.209

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.209 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 238.55 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 0.000351 of each other at a top speed of 53.4, line up 258 times a period, and the computed loop closes to 3.2×10⁻²⁴.

Measured over one period

Period: 238.5538753
Masses: 1 : 1 : 1
Energy: -1.38541
Angular momentum: 0
Closest approach: 3.5×10⁻⁴
Top speed: 53.38
Path length: 596.04
Alignments per period: 258
Topology: abaBAbabABabaBAbabABAbaBABabABAbabABabaBAbabABabaBABabABAbaBABabaBAbabABabaBAbabABAbaBABabABAbaBABabaBAbabABabaBABabABAbaBABabABAbabABabaBAbabABAbaBABabABAbaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 3.2×10⁻²⁴

Neighbours on the map

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