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Schubart region HS.919

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.919 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 349.99 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 0.00000546 of each other at a top speed of 428, line up 536 times a period, and the computed loop closes to 8.8×10⁻²¹.

Measured over one period

Period: 349.9932727
Masses: 1 : 1 : 1
Energy: -1.70605
Angular momentum: 0
Closest approach: 5.5×10⁻⁶
Top speed: 428.1
Path length: 897.08
Alignments per period: 536
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 8.8×10⁻²¹

Neighbours on the map

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