Atlas3,083 of 3,942

Broucke region HS.104

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.104 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 164.88 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 0.000573 of each other at a top speed of 41.8, line up 186 times a period, and the computed loop closes to 3.7×10⁻²⁵.

Measured over one period

Period: 164.8777264
Masses: 1 : 1 : 1
Energy: -1.44067
Angular momentum: 0
Closest approach: 5.7×10⁻⁴
Top speed: 41.79
Path length: 427.44
Alignments per period: 186
Topology: aaBAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABabAAbaBAbaBAbaBBabABabABaaBAbaBAbaBBabABabABaaBAbaBAbaBBabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 3.7×10⁻²⁵

Neighbours on the map

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