Atlas2,827 of 3,942

Moth region HS.393

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.393 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 328.27 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 0.0277 of each other at a top speed of 6.01, line up 352 times a period, and the computed loop closes to 1.1×10⁻²⁷.

Measured over one period

Period: 328.2664266
Masses: 1 : 1 : 1
Energy: -1.38062
Angular momentum: 0
Closest approach: 0.02770
Top speed: 6.013
Path length: 825.75
Alignments per period: 352
Topology: (abaBAbabAB)²² (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.1×10⁻²⁷

Neighbours on the map

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