Atlas2,773 of 3,942

Moth region HS.732

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.732 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 497.09 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 0.0000154 of each other at a top speed of 255, line up 462 times a period, and the computed loop closes to 6.3×10⁻²¹.

Measured over one period

Period: 497.0879077
Masses: 1 : 1 : 1
Energy: -1.26070
Angular momentum: 0
Closest approach: 1.5×10⁻⁵
Top speed: 254.9
Path length: 1208.4
Alignments per period: 462
Topology: abaBAbabABabABabaBAbaBABabABAbaBAbabABabABabaBAbaBABabABAbaBAbabABabABabaBAbaBABabABAbaBAbabABabABabaBAbaBABabABAbaBAbabABabABabaBAbaBABabABAbaBAbabABabABabaBAbabABabABAbaBAbaBABabABabaBAbabABabABAbaBAbaBABabABabaBAbabABabABAbaBAbaBABabABabaBAbabABabABAbaBAbaBABabABabaBAbabABabABAbaBAbaBABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 6.3×10⁻²¹

Neighbours on the map

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