Atlas2,804 of 3,942

Moth region HS.484

From Hristov, Hristova & Tanikawa (2026)

Moth region HS.484 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 386.93 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 0.000242 of each other at a top speed of 64.2, line up 376 times a period, and the computed loop closes to 7.6×10⁻²⁴.

Measured over one period

Period: 386.9267959
Masses: 1 : 1 : 1
Energy: -1.30178
Angular momentum: 0
Closest approach: 2.4×10⁻⁴
Top speed: 64.23
Path length: 966.70
Alignments per period: 376
Topology: abaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbaBABabABabABAbaBAbaBABabABabABAbaBAbaBABabABabABAbaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbabABabABabaBAbaBAbabABabABabABAbaBAbaBABabABabABAbaBAbaBABabABabABAbaBAbaBABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 7.6×10⁻²⁴

Neighbours on the map

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