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Schubart region HS.180

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.180 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 122.15 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 0.0000588 of each other at a top speed of 13, line up 258 times a period, and the computed loop closes to 7.5×10⁻²³.

Measured over one period

Period: 122.1507474
Masses: 1 : 1 : 1
Energy: -2.08846
Angular momentum: 0
Closest approach: 5.9×10⁻⁵
Top speed: 130.4
Path length: 322.88
Alignments per period: 258
Stability: stable (|λ|max 1.000, published)
Loop closure: 7.5×10⁻²³

Neighbours on the map

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