Atlas2,762 of 3,942

Moth region HS.874

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.874 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 476.79 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 0.0000742 of each other at a top speed of 116, line up 502 times a period, and the computed loop closes to 4.3×10⁻²³.

Measured over one period

Period: 476.7857564
Masses: 1 : 1 : 1
Energy: -1.36654
Angular momentum: 0
Closest approach: 7.4×10⁻⁵
Top speed: 116.1
Path length: 1197.3
Alignments per period: 502
Topology: abaBAbabABabaBAbabABabABAbaBABabABAbaBAbabABabaBAbabABabABAbaBABabABAbaBAbabABabaBAbabABabABAbaBABabABAbaBAbabABabaBAbabABabABAbaBABabABAbaBAbabABabaBAbabABabABAbaBABabABAbaBABabABabaBAbabABabaBAbaBABabABAbaBABabABabaBAbabABabaBAbaBABabABAbaBABabABabaBAbabABabaBAbaBABabABAbaBABabABabaBAbabABabaBAbaBABabABAbaBABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 4.3×10⁻²³

Neighbours on the map

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