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Moth region HS.815

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.815 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 487.27 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 0.000128 of each other at a top speed of 88.5, line up 480 times a period, and the computed loop closes to 7.4×10⁻²³.

Measured over one period

Period: 487.2653423
Masses: 1 : 1 : 1
Energy: -1.31446
Angular momentum: 0
Closest approach: 1.3×10⁻⁴
Top speed: 88.48
Path length: 1226.8
Alignments per period: 480
Topology: abaBAbaBAbabABabABabaBAbaBAbaBABabABabABabaBAbaBAbaBABabABabABAbaBAbaBAbabABabABabABAbaBAbaBAbabABabABabaBAbaBAbabABabABabABAbaBAbaBAbabABabABabABAbaBAbaBABabABabABabaBAbaBAbaBABabABabABAbaBAbaBAbabABabABabABAbaBAbaBABabABabABabaBAbaBAbaBABabABabABAbaBAbaBAbabABabABabABAbaBAbaBABabABabABabaBAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 7.4×10⁻²³

Neighbours on the map

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