Atlas2,982 of 3,942

Schubart region HS.969

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.969 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 296.65 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 0.0000647 of each other at a top speed of 124, line up 548 times a period, and the computed loop closes to 2.3×10⁻²³.

Measured over one period

Period: 296.6468993
Masses: 1 : 1 : 1
Energy: -1.93626
Angular momentum: 0
Closest approach: 6.5×10⁻⁵
Top speed: 124.4
Path length: 815.72
Alignments per period: 548
Topology: ababABAbabaBABabaBABababABAbabaBABabaBABAbabABAbabaBABabaBABAbabABAbabaBABabaBABAbabABAbabaBABababABAbabABAbabaBABababABAbabABABabaBABAbabABAbabABABabaBABAbabABAbabaBABababABAbabABAbabaBABababABAbabABABabaBABababABAbabABABabaBABababABAbabABABabaBABababABAbabaBABabaBABababABAbabaBABabaBABAbabABABabaBABabaBABAbabABABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.3×10⁻²³

Neighbours on the map

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