Atlas2,992 of 3,915

Schubart region HS.388

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.388 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 184.15 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 0.00112 of each other at a top speed of 29.9, line up 358 times a period, and the computed loop closes to 8.5×10⁻²⁵.

Measured over one period

Period: 184.1463026
Masses: 1 : 1 : 1
Energy: -2.01114
Angular momentum: 0
Closest approach: 0.001118
Top speed: 29.91
Path length: 523.53
Alignments per period: 358
Stability: stable (|λ|max 1.000, published)
Loop closure: 8.5×10⁻²⁵

Neighbours on the map

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