Atlas3,079 of 3,942

Broucke region HS.103

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.103 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 163.91 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 0.0000971 of each other at a top speed of 102, line up 186 times a period, and the computed loop closes to 2.3×10⁻²⁴.

Measured over one period

Period: 163.9101890
Masses: 1 : 1 : 1
Energy: -1.44587
Angular momentum: 0
Closest approach: 9.7×10⁻⁵
Top speed: 101.5
Path length: 415.21
Alignments per period: 186
Topology: aaBAbaBAbbABabAAbaBAbaBBabABabAAbaBAbaBBabABabAAbaBAbaBBabABabAAbaBAbaBBabABaaBAbaBAbbABabABaaBAbaBAbbABabABaaBAbaBAbbABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.3×10⁻²⁴

Neighbours on the map

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