Atlas2,914 of 3,915

Schubart region HS.534

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.534 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 270.83 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 0.000145 of each other at a top speed of 83, line up 412 times a period, and the computed loop closes to 1.0×10⁻²³.

Measured over one period

Period: 270.8323819
Masses: 1 : 1 : 1
Energy: -1.71426
Angular momentum: 0
Closest approach: 1.5×10⁻⁴
Top speed: 83.04
Path length: 722.07
Alignments per period: 412
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.0×10⁻²³

Neighbours on the map

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