Atlas2,927 of 3,915

Schubart region HS.720

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.720 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 301.08 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 0.0000417 of each other at a top speed of 155, line up 476 times a period, and the computed loop closes to 3.1×10⁻²³.

Measured over one period

Period: 301.0819444
Masses: 1 : 1 : 1
Energy: -1.75247
Angular momentum: 0
Closest approach: 4.2×10⁻⁵
Top speed: 154.8
Path length: 801.04
Alignments per period: 476
Stability: stable (|λ|max 1.000, published)
Loop closure: 3.1×10⁻²³

Neighbours on the map

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