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Broucke region HS.743

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.743 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 445.82 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 0.00958 of each other at a top speed of 10.2, line up 462 times a period, and the computed loop closes to 2.6×10⁻²⁵.

Measured over one period

Period: 445.8192133
Masses: 1 : 1 : 1
Energy: -1.36155
Angular momentum: 0
Closest approach: 0.009578
Top speed: 10.23
Path length: 1129.0
Alignments per period: 462
Topology: aaBAbaBAbaBAbbABabABabAAbaBAbaBAbaBBabABabAB (free-group class, shape period T/7)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.6×10⁻²⁵

Neighbours on the map

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