Atlas3,043 of 3,942

Schubart region HS.855

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.855 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 340.14 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 0.0000142 of each other at a top speed of 266, line up 524 times a period, and the computed loop closes to 1.5×10⁻²¹.

Measured over one period

Period: 340.1423620
Masses: 1 : 1 : 1
Energy: -1.69717
Angular momentum: 0
Closest approach: 1.4×10⁻⁵
Top speed: 265.5
Path length: 823.23
Alignments per period: 524
Topology: ababABAbabaBABababABABababABABababABAbabaBABAbabaBABAbabaBABababABAbabaBABAbabaBABAbabABABababABABababABABabaBABAbabABABababABABababABABabaBABAbabaBABAbabaBABababABAbabaBABAbabaBABAbabaBABababABABababABABababABAbabaBABababABABababABABabaBABAbabaBABAbabaBABAbabABABabaBABAbabaBABAbabaBABAbabABABababABAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.5×10⁻²¹

Neighbours on the map

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