Atlas2,995 of 3,942

Schubart region HS.799

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.799 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 295.76 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 0.000000405 of each other at a top speed of 1571, line up 500 times a period, and the computed loop closes to 7.2×10⁻¹⁹.

Measured over one period

Period: 295.7609815
Masses: 1 : 1 : 1
Energy: -1.82575
Angular momentum: 0
Closest approach: 4.1×10⁻⁷
Top speed: 1571
Path length: 791.37
Alignments per period: 500
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 7.2×10⁻¹⁹

Neighbours on the map

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