Atlas2,966 of 3,942

Schubart region HS.558

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.558 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 221.5 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 0.00000171 of each other at a top speed of 764, line up 436 times a period, and the computed loop closes to 1.5×10⁻²⁰.

Measured over one period

Period: 221.4966349
Masses: 1 : 1 : 1
Energy: -2.00175
Angular momentum: 0
Closest approach: 1.7×10⁻⁶
Top speed: 763.9
Path length: 591.66
Alignments per period: 436
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.5×10⁻²⁰

Neighbours on the map

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