Atlas3,005 of 3,942

Schubart region HS.962

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.962 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 311.24 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 0.0000000964 of each other at a top speed of 3221, line up 558 times a period, and the computed loop closes to 3.5×10⁻¹⁷.

Measured over one period

Period: 311.2378712
Masses: 1 : 1 : 1
Energy: -1.87194
Angular momentum: 0
Closest approach: 0
Top speed: 3221
Path length: 777.95
Alignments per period: 558
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 3.5×10⁻¹⁷

Neighbours on the map

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