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Moth region HS.870

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.870 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 477.59 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 0.0000104 of each other at a top speed of 31, line up 500 times a period, and the computed loop closes to 1.0×10⁻²¹.

Measured over one period

Period: 477.5899655
Masses: 1 : 1 : 1
Energy: -1.36054
Angular momentum: 0
Closest approach: 1.0×10⁻⁵
Top speed: 309.6
Path length: 1194.6
Alignments per period: 500
Topology: abaBAbabABabaBAbabABabaBAbaBABabABAbaBABabABAbaBAbabABabaBAbabABabaBAbabABabABAbaBABabABAbaBABabABAbaBAbabABabaBAbabABabaBAbabABabABAbaBABabABAbaBABabABAbaBAbabABabaBAbabABabaBAbabABabABAbaBABabABAbaBABabABabaBAbabABabaBAbabABabaBAbaBABabABAbaBABabABAbaBABabABabaBAbabABabaBAbabABabaBAbaBABabABAbaBABabABAbaBABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.0×10⁻²¹

Neighbours on the map

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