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Broucke region HS.169

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.169 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 192.83 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 0.000000175 of each other at a top speed of 2393, line up 234 times a period, and the computed loop closes to 1.0×10⁻¹⁹.

Measured over one period

Period: 192.8340625
Masses: 1 : 1 : 1
Energy: -1.51196
Angular momentum: 0
Closest approach: 1.7×10⁻⁷
Top speed: 2393
Path length: 488.28
Alignments per period: 234
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.0×10⁻¹⁹

Neighbours on the map

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