Atlas3,105 of 3,942

Broucke region HS.541

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.541 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 377.12 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 0.000252 of each other at a top speed of 63, line up 402 times a period, and the computed loop closes to 2.5×10⁻²⁵.

Measured over one period

Period: 377.1220079
Masses: 1 : 1 : 1
Energy: -1.38745
Angular momentum: 0
Closest approach: 2.5×10⁻⁴
Top speed: 63.05
Path length: 965.55
Alignments per period: 402
Topology: aaBAbaBAbaBAbbABabABabAAbaBAbaBAbaBBabABabABaaBAbaBAbaBAbbABabABabAAbaBAbaBAbaBBabABabABabAAbaBAbaBAbbABabABabABaaBAbaBAbaBBabABabABabAAbaBAbaBAbaBBabABabABaaBAbaBAbaBAbbABabABabAAbaBAbaBAbaBBabABabABaaBAbaBAbaBAbbABabABabABaaBAbaBAbaBBabABabABabAAbaBAbaBAbbABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.5×10⁻²⁵

Neighbours on the map

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