Atlas3,015 of 3,915

Schubart region HS.429

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.429 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 206.13 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 0.000124 of each other at a top speed of 89.9, line up 374 times a period, and the computed loop closes to 2.7×10⁻²⁴.

Measured over one period

Period: 206.1295985
Masses: 1 : 1 : 1
Energy: -1.92276
Angular momentum: 0
Closest approach: 1.2×10⁻⁴
Top speed: 89.92
Path length: 575.53
Alignments per period: 374
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.7×10⁻²⁴

Neighbours on the map

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