Atlas2,891 of 3,915

Schubart region HS.913

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.913 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 342.28 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 0.00004 of each other at a top speed of 158, line up 528 times a period, and the computed loop closes to 2.3×10⁻²².

Measured over one period

Period: 342.2758286
Masses: 1 : 1 : 1
Energy: -1.72711
Angular momentum: 0
Closest approach: 4.0×10⁻⁵
Top speed: 158.2
Path length: 909.95
Alignments per period: 528
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.3×10⁻²²

Neighbours on the map

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