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Schubart region HS.827

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.827 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 286.83 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 0.0000044 of each other at a top speed of 477, line up 508 times a period, and the computed loop closes to 1.3×10⁻²⁰.

Measured over one period

Period: 286.8261463
Masses: 1 : 1 : 1
Energy: -1.88101
Angular momentum: 0
Closest approach: 4.4×10⁻⁶
Top speed: 476.7
Path length: 774.84
Alignments per period: 508
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.3×10⁻²⁰

Neighbours on the map

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