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Moth region HS.498

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.498 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 388.18 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 0.0000624 of each other at a top speed of 127, line up 390 times a period, and the computed loop closes to 5.7×10⁻²³.

Measured over one period

Period: 388.1787058
Masses: 1 : 1 : 1
Energy: -1.33194
Angular momentum: 0
Closest approach: 6.2×10⁻⁵
Top speed: 126.6
Path length: 983.62
Alignments per period: 390
Topology: abaBAbaBAbabABabABabABAbaBAbaBAbabABabABabaBAbaBAbaBABabABabABabaBAbaBAbabABabABabABAbaBAbaBAbabABabABabABAbaBAbaBAbabABabABabABAbaBAbaBABabABabABabaBAbaBAbaBABabABabABAbaBAbaBAbabABabABabABAbaBAbaBABabABabABabaBAbaBAbaBABabABabABabaBAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 5.7×10⁻²³

Neighbours on the map

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