Atlas2,903 of 3,942

Schubart region HS.663

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.663 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 214.44 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 0.0000132 of each other at a top speed of 275, line up 472 times a period, and the computed loop closes to 2.0×10⁻²².

Measured over one period

Period: 214.4400414
Masses: 1 : 1 : 1
Energy: -2.14287
Angular momentum: 0
Closest approach: 1.3×10⁻⁵
Top speed: 275.2
Path length: 566.35
Alignments per period: 472
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.0×10⁻²²

Neighbours on the map

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