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Schubart region HS.852

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.852 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 243.07 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 0.0000000736 of each other at a top speed of 3685, line up 520 times a period, and the computed loop closes to 6.6×10⁻¹⁸.

Measured over one period

Period: 243.0730605
Masses: 1 : 1 : 1
Energy: -2.12194
Angular momentum: 0
Closest approach: 0
Top speed: 3685
Path length: 677.93
Alignments per period: 520
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 6.6×10⁻¹⁸

Neighbours on the map

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