Atlas2,753 of 3,942

Moth region HS.945

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.945 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 523.01 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 0.000123 of each other at a top speed of 90.3, line up 514 times a period, and the computed loop closes to 2.4×10⁻²³.

Measured over one period

Period: 523.0100450
Masses: 1 : 1 : 1
Energy: -1.31242
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 90.32
Path length: 1315.7
Alignments per period: 514
Topology: abaBAbaBAbabABabABabABAbaBAbaBAbabABabABabaBAbaBAbaBABabABabABabaBAbaBAbaBABabABabABAbaBAbaBAbabABabABabABAbaBAbaBAbabABabABabaBAbaBAbaBABabABabABabaBAbaBAbabABabABabABAbaBAbaBABabABabABabaBAbaBAbaBABabABabABAbaBAbaBAbabABabABabABAbaBAbaBAbabABabABabaBAbaBAbaBABabABabABabaBAbaBAbaBABabABabABAbaBAbaBAbabABabABabABAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.4×10⁻²³

Neighbours on the map

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