Atlas3,056 of 3,942

Broucke region HS.921

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.921 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 476.71 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 0.000599 of each other at a top speed of 40.9, line up 510 times a period, and the computed loop closes to 6.2×10⁻²⁵.

Measured over one period

Period: 476.7128323
Masses: 1 : 1 : 1
Energy: -1.39100
Angular momentum: 0
Closest approach: 6.0×10⁻⁴
Top speed: 40.87
Path length: 1228.1
Alignments per period: 510
Topology: aaBAbaBAbaBAbaBBabABabABabAAbaBAbaBAbaBBabABabABabAAbaBAbaBAbaBBabABabABabAAbaBAbaBAbaBBabABabABabAAbaBAbaBAbaBBabABabABabAAbaBAbaBAbaBBabABabABabAAbaBAbaBAbaBBabABabABabAAbaBAbaBAbaBAbbABabABabABaaBAbaBAbaBAbbABabABabABaaBAbaBAbaBAbbABabABabABaaBAbaBAbaBAbbABabABabABaaBAbaBAbaBAbbABabABabABaaBAbaBAbaBAbbABabABabABaaBAbaBAbaBAbbABabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 6.2×10⁻²⁵

Neighbours on the map

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