Atlas2,795 of 3,942

Moth region HS.950

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.950 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 494.9 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 0.0000496 of each other at a top speed of 142, line up 522 times a period, and the computed loop closes to 1.2×10⁻²¹.

Measured over one period

Period: 494.8954231
Masses: 1 : 1 : 1
Energy: -1.36753
Angular momentum: 0
Closest approach: 5.0×10⁻⁵
Top speed: 141.9
Path length: 1241.6
Alignments per period: 522
Topology: abaBAbabABabaBAbabABabaBAbaBABabABAbaBABabABAbaBAbabABabaBAbabABabaBAbaBABabABAbaBABabABAbaBAbabABabaBAbabABabaBAbabABabABAbaBABabABAbaBABabABabaBAbabABabaBAbabABabABAbaBABabABAbaBABabABAbaBAbabABabaBAbabABabaBAbaBABabABAbaBABabABAbaBAbabABabaBAbabABabaBAbaBABabABAbaBABabABAbaBABabABabaBAbabABabaBAbabABabABAbaBABabABAbaBABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.2×10⁻²¹

Neighbours on the map

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