Atlas2,988 of 3,915

Schubart region HS.586

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.586 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 273.27 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 0.0000615 of each other at a top speed of 128, line up 430 times a period, and the computed loop closes to 4.4×10⁻²³.

Measured over one period

Period: 273.2733283
Masses: 1 : 1 : 1
Energy: -1.75690
Angular momentum: 0
Closest approach: 6.2×10⁻⁵
Top speed: 127.5
Path length: 741.47
Alignments per period: 430
Stability: stable (|λ|max 1.000, published)
Loop closure: 4.4×10⁻²³

Neighbours on the map

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