Atlas3,086 of 3,942

Broucke region HS.387

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.387 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 319.37 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 0.00033 of each other at a top speed of 55, line up 342 times a period, and the computed loop closes to 8.7×10⁻²⁵.

Measured over one period

Period: 319.3733619
Masses: 1 : 1 : 1
Energy: -1.39173
Angular momentum: 0
Closest approach: 3.3×10⁻⁴
Top speed: 55.03
Path length: 819.96
Alignments per period: 342
Topology: aaBAbaBAbaBAbbABabABabAAbaBAbaBAbaBBabABabABabAAbaBAbaBAbaBBabABabABaaBAbaBAbaBAbbABabABabABaaBAbaBAbaBBabABabABabAAbaBAbaBAbaBBabABabABaaBAbaBAbaBAbbABabABabABaaBAbaBAbaBAbbABabABabAAbaBAbaBAbaBBabABabABabAAbaBAbaBAbbABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 8.7×10⁻²⁵

Neighbours on the map

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