Atlas2,871 of 3,942

Schubart region HS.746

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.746 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 239.98 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 0.0000458 of each other at a top speed of 148, line up 488 times a period, and the computed loop closes to 1.4×10⁻²².

Measured over one period

Period: 239.9836591
Masses: 1 : 1 : 1
Energy: -2.06155
Angular momentum: 0
Closest approach: 4.6×10⁻⁵
Top speed: 147.9
Path length: 675.94
Alignments per period: 488
Topology: ababABAbabaBABababABAbabABAbabaBABAbabABAbabABABababABAbabABAbabaBABababABAbabaBABabaBABAbabABABabaBABababABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABAbabaBABabaBABababABABabaBABabaBABAbabaBABabaBABababABAbabaBABababABAbabABABabaBABAbabABAbabaBABababABAbabaBABabaBABAbabABABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.4×10⁻²²

Neighbours on the map

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