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Schubart region HS.364

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.364 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 203.32 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 0.00023 of each other at a top speed of 65.9, line up 348 times a period, and the computed loop closes to 7.8×10⁻²⁵.

Measured over one period

Period: 203.3210342
Masses: 1 : 1 : 1
Energy: -1.84699
Angular momentum: 0
Closest approach: 2.3×10⁻⁴
Top speed: 65.88
Path length: 554.79
Alignments per period: 348
Stability: stable (|λ|max 1.000, published)
Loop closure: 7.8×10⁻²⁵

Neighbours on the map

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