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Schubart region HS.682

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.682 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 218.72 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 0.000000424 of each other at a top speed of 1536, line up 478 times a period, and the computed loop closes to 2.0×10⁻¹⁹.

Measured over one period

Period: 218.7192248
Masses: 1 : 1 : 1
Energy: -2.13553
Angular momentum: 0
Closest approach: 4.2×10⁻⁷
Top speed: 1536
Path length: 582.86
Alignments per period: 478
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.0×10⁻¹⁹

Neighbours on the map

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