Atlas2,909 of 3,915

Schubart region HS.431

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.431 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 235.01 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 0.0000502 of each other at a top speed of 141, line up 376 times a period, and the computed loop closes to 5.6×10⁻²³.

Measured over one period

Period: 235.0107122
Masses: 1 : 1 : 1
Energy: -1.76354
Angular momentum: 0
Closest approach: 5.0×10⁻⁵
Top speed: 141.1
Path length: 623.22
Alignments per period: 376
Stability: stable (|λ|max 1.000, published)
Loop closure: 5.6×10⁻²³

Neighbours on the map

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