Atlas3,009 of 3,915

Schubart region HS.779

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.779 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 298.43 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 0.000156 of each other at a top speed of 80.2, line up 496 times a period, and the computed loop closes to 2.5×10⁻²³.

Measured over one period

Period: 298.4294017
Masses: 1 : 1 : 1
Energy: -1.79982
Angular momentum: 0
Closest approach: 1.6×10⁻⁴
Top speed: 80.15
Path length: 782.54
Alignments per period: 496
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.5×10⁻²³

Neighbours on the map

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