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Broucke region HS.145

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.145 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 202.6 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 0.00179 of each other at a top speed of 23.6, line up 216 times a period, and the computed loop closes to 1.8×10⁻²⁵.

Measured over one period

Period: 202.5980481
Masses: 1 : 1 : 1
Energy: -1.38825
Angular momentum: 0
Closest approach: 0.001795
Top speed: 23.61
Path length: 525.94
Alignments per period: 216
Topology: aaBAbaBAbaBAbaBAbbABabABabABabAAbaBAbaBAbaBAbbABabABabABabAAbaBAbaBAbaBAbbABabABabABabABaaBAbaBAbaBAbaBBabABabABabABaaBAbaBAbaBAbaBBabABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.8×10⁻²⁵

Neighbours on the map

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