Atlas3,035 of 3,942

Schubart region HS.814

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.814 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 264.83 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 0.00000159 of each other at a top speed of 794, line up 502 times a period, and the computed loop closes to 8.0×10⁻²¹.

Measured over one period

Period: 264.8268591
Masses: 1 : 1 : 1
Energy: -1.97333
Angular momentum: 0
Closest approach: 1.6×10⁻⁶
Top speed: 793.9
Path length: 739.94
Alignments per period: 502
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 8.0×10⁻²¹

Neighbours on the map

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