Atlas3,012 of 3,942

Schubart region HS.871

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.871 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 294.58 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 0.000241 of each other at a top speed of 64.5, line up 520 times a period, and the computed loop closes to 2.7×10⁻²⁴.

Measured over one period

Period: 294.5758274
Masses: 1 : 1 : 1
Energy: -1.87989
Angular momentum: 0
Closest approach: 2.4×10⁻⁴
Top speed: 64.47
Path length: 800.93
Alignments per period: 520
Topology: ababABAbabaBABabaBABababABAbabaBABabaBABababABAbabABABabaBABababABAbabABABabaBABababABAbabABABabaBABababABAbabABABabaBABababABAbabABABabaBABababABAbabABAbabaBABababABAbabABAbabaBABababABAbabABAbabaBABabaBABAbabABAbabaBABabaBABAbabABAbabaBABabaBABAbabABAbabaBABabaBABAbabABAbabaBABabaBABAbabABAbabaBABabaBAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.7×10⁻²⁴

Neighbours on the map

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