Atlas2,918 of 3,915

Schubart region HS.718

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.718 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 341.2 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 0.0000529 of each other at a top speed of 138, line up 466 times a period, and the computed loop closes to 2.4×10⁻²².

Measured over one period

Period: 341.1991665
Masses: 1 : 1 : 1
Energy: -1.60866
Angular momentum: 0
Closest approach: 5.3×10⁻⁵
Top speed: 137.5
Path length: 903.12
Alignments per period: 466
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.4×10⁻²²

Neighbours on the map

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