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Schubart region HS.185

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.185 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 185.01 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 0.000243 of each other at a top speed of 64.2, line up 250 times a period, and the computed loop closes to 3.7×10⁻²⁵.

Measured over one period

Period: 185.0089900
Masses: 1 : 1 : 1
Energy: -1.59589
Angular momentum: 0
Closest approach: 2.4×10⁻⁴
Top speed: 64.20
Path length: 486.69
Alignments per period: 250
Topology: abaBAbabABAbabABAbabABabaBABabaBABabABAbabABAbabABabaBABabaBABabaBAbabABAbabABAbaBABabaBABabaBABabABAbabABAbabABabaBABabaBABabABAbabABAbabABAbaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 3.7×10⁻²⁵

Neighbours on the map

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