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Broucke region HS.615

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.615 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 376.78 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 0.0000289 of each other at a top speed of 186, line up 426 times a period, and the computed loop closes to 1.2×10⁻²².

Measured over one period

Period: 376.7841387
Masses: 1 : 1 : 1
Energy: -1.44236
Angular momentum: 0
Closest approach: 2.9×10⁻⁵
Top speed: 186.1
Path length: 955.43
Alignments per period: 426
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.2×10⁻²²

Neighbours on the map

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