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Schubart region HS.828

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.828 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 275.38 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 0.000112 of each other at a top speed of 94.6, line up 512 times a period, and the computed loop closes to 6.6×10⁻²⁵.

Measured over one period

Period: 275.3800730
Masses: 1 : 1 : 1
Energy: -1.93473
Angular momentum: 0
Closest approach: 1.1×10⁻⁴
Top speed: 94.64
Path length: 739.60
Alignments per period: 512
Topology: ababABAbabaBABababABAbabaBABababABAbabaBABababABABabaBABAbabABABabaBABAbabABABababABAbabaBABababABAbabaBABababABAbabaBABAbabABABabaBABAbabABABabaBABAbabaBABababABAbabaBABababABAbabaBABababABAbabaBABAbabABABabaBABAbabABABabaBABAbabaBABababABAbabaBABababABAbabaBABababABABabaBABAbabABABabaBABAbabABAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 6.6×10⁻²⁵

Neighbours on the map

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