Atlas3,049 of 3,942

Broucke region HS.434

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.434 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 300.59 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 0.00000156 of each other at a top speed of 801, line up 360 times a period, and the computed loop closes to 9.4×10⁻²¹.

Measured over one period

Period: 300.5942615
Masses: 1 : 1 : 1
Energy: -1.49876
Angular momentum: 0
Closest approach: 1.6×10⁻⁶
Top speed: 800.5
Path length: 760.68
Alignments per period: 360
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 9.4×10⁻²¹

Neighbours on the map

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