Atlas2,868 of 3,942

Schubart region HS.880

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.880 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 249.61 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 0.0000167 of each other at a top speed of 245, line up 536 times a period, and the computed loop closes to 4.0×10⁻²².

Measured over one period

Period: 249.6090373
Masses: 1 : 1 : 1
Energy: -2.11387
Angular momentum: 0
Closest approach: 1.7×10⁻⁵
Top speed: 244.9
Path length: 668.96
Alignments per period: 536
Topology: ababABAbabaBABAbabaBABababABABababABABababABABababABABabaBABAbabaBABAbabaBABababABABababABABababABABabaBABAbabaBABAbabaBABAbabaBABAbabABABababABABababABAbabaBABAbabaBABAbabaBABAbabaBABababABABababABABabaBABAbabaBABAbabaBABAbabaBABAbabABABababABABababABABababABAbabaBABAbabaBABAbabABABababABABababABABababABAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 4.0×10⁻²²

Neighbours on the map

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