Atlas3,020 of 3,942

Schubart region HS.516

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.516 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 209.62 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 0.00000228 of each other at a top speed of 662, line up 412 times a period, and the computed loop closes to 2.8×10⁻²¹.

Measured over one period

Period: 209.6228122
Masses: 1 : 1 : 1
Energy: -2.01761
Angular momentum: 0
Closest approach: 2.3×10⁻⁶
Top speed: 661.9
Path length: 587.40
Alignments per period: 412
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.8×10⁻²¹

Neighbours on the map

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