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Schubart region HS.621

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.621 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 269.98 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 0.000073 of each other at a top speed of 117, line up 446 times a period, and the computed loop closes to 2.9×10⁻²⁴.

Measured over one period

Period: 269.9834961
Masses: 1 : 1 : 1
Energy: -1.80380
Angular momentum: 0
Closest approach: 7.3×10⁻⁵
Top speed: 117.1
Path length: 727.68
Alignments per period: 446
Topology: ababABAbabABAbabaBABabaBABababABAbabABAbabABABabaBABabaBABAbabABAbabABAbabaBABabaBABababABAbabABAbabABABabaBABabaBABAbabABAbabABAbabaBABabaBABabaBABAbabABAbabABAbabaBABabaBABabaBABAbabABAbabABABabaBABabaBABababABAbabABAbabaBABabaBABabaBABAbabABAbabABABabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.9×10⁻²⁴

Neighbours on the map

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