Atlas2,784 of 3,942

Moth region HS.474

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.474 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 402.48 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 0.0000253 of each other at a top speed of 199, line up 374 times a period, and the computed loop closes to 4.5×10⁻²².

Measured over one period

Period: 402.4809789
Masses: 1 : 1 : 1
Energy: -1.26054
Angular momentum: 0
Closest approach: 2.5×10⁻⁵
Top speed: 198.9
Path length: 978.29
Alignments per period: 374
Topology: abaBAbabABabABabaBAbaBABabABAbaBAbabABabABabaBAbaBABabABAbaBAbabABabABabaBAbaBABabABAbaBAbabABabABabaBAbaBABabABAbaBAbabABabABabaBAbabABabABAbaBAbaBABabABabaBAbabABabABAbaBAbaBABabABabaBAbabABabABAbaBAbaBABabABabaBAbabABabABAbaBAbaBABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 4.5×10⁻²²

Neighbours on the map

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