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Schubart region HS.382

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.382 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 231.15 time units, published by Hristov, Hristova & Tanikawa (2026). Stable orbits that pass extremely close to a binary collision, descended from Schubart’s rectilinear orbit. They needed 100-digit arithmetic to find. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.000149 of each other at a top speed of 81.8, line up 352 times a period, and the computed loop closes to 1.2×10⁻²³.

Measured over one period

Period: 231.1464780
Masses: 1 : 1 : 1
Energy: -1.71482
Angular momentum: 0
Closest approach: 1.5×10⁻⁴
Top speed: 81.80
Path length: 615.52
Alignments per period: 352
Topology: ababABAbabABAbabABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBABabaBABabaBABAbabABAbabABAbabABAbabABAbabABAbabaBABabaBABabaBABabaBABabaBABabaBABababABAbabABAbabABAbabABAbabABAbabABABabaBABabaBABabaBABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.2×10⁻²³

Neighbours on the map

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