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Broucke region HS.224

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.224 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 249.74 time units, published by Hristov, Hristova & Tanikawa (2026). Stable orbits related to Broucke’s isosceles orbit, with one body swinging through the other two. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.00308 of each other at a top speed of 18, line up 264 times a period, and the computed loop closes to 4.9×10⁻²⁵.

Measured over one period

Period: 249.7445167
Masses: 1 : 1 : 1
Energy: -1.37970
Angular momentum: 0
Closest approach: 0.003083
Top speed: 18.02
Path length: 636.68
Alignments per period: 264
Stability: stable (|λ|max 1.000, published)
Loop closure: 4.9×10⁻²⁵

Neighbours on the map

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