Atlas3,030 of 3,915

Schubart region HS.392

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.392 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 236.61 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 0.000564 of each other at a top speed of 42.1, line up 368 times a period, and the computed loop closes to 2.4×10⁻²⁵.

Measured over one period

Period: 236.6106491
Masses: 1 : 1 : 1
Energy: -1.71684
Angular momentum: 0
Closest approach: 5.6×10⁻⁴
Top speed: 42.11
Path length: 596.70
Alignments per period: 368
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.4×10⁻²⁵

Neighbours on the map

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