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Broucke region HS.902

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.902 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 456.95 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 0.00000894 of each other at a top speed of 334, line up 504 times a period, and the computed loop closes to 8.9×10⁻²².

Measured over one period

Period: 456.9511977
Masses: 1 : 1 : 1
Energy: -1.41909
Angular momentum: 0
Closest approach: 8.9×10⁻⁶
Top speed: 334.4
Path length: 1173.1
Alignments per period: 504
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 8.9×10⁻²²

Neighbours on the map

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