Atlas3,044 of 3,942

Schubart region HS.899

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.899 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 347.64 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 0.000000233 of each other at a top speed of 2072, line up 538 times a period, and the computed loop closes to 5.5×10⁻¹⁸.

Measured over one period

Period: 347.6423204
Masses: 1 : 1 : 1
Energy: -1.70212
Angular momentum: 0
Closest approach: 2.3×10⁻⁷
Top speed: 2072
Path length: 841.58
Alignments per period: 538
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 5.5×10⁻¹⁸

Neighbours on the map

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