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Schubart region HS.456

From Hristov, Hristova & Tanikawa (2026)

Schubart region HS.456 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 185.76 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 0.00000136 of each other at a top speed of 857, line up 394 times a period, and the computed loop closes to 4.1×10⁻²⁰.

Measured over one period

Period: 185.7575994
Masses: 1 : 1 : 1
Energy: -2.09423
Angular momentum: 0
Closest approach: 1.4×10⁻⁶
Top speed: 856.6
Path length: 491.55
Alignments per period: 394
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 4.1×10⁻²⁰

Neighbours on the map

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