Atlas3,006 of 3,915

Schubart region HS.858

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.858 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 294.18 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 0.00000111 of each other at a top speed of 948, line up 530 times a period, and the computed loop closes to 4.4×10⁻¹⁹.

Measured over one period

Period: 294.1838227
Masses: 1 : 1 : 1
Energy: -1.87825
Angular momentum: 0
Closest approach: 1.1×10⁻⁶
Top speed: 948.3
Path length: 737.13
Alignments per period: 530
Stability: stable (|λ|max 1.000, published)
Loop closure: 4.4×10⁻¹⁹

Neighbours on the map

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