Atlas3,084 of 3,915

Broucke region HS.659

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.659 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 397.74 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 0.00008 of each other at a top speed of 112, line up 438 times a period, and the computed loop closes to 3.6×10⁻²⁴.

Measured over one period

Period: 397.7424025
Masses: 1 : 1 : 1
Energy: -1.41771
Angular momentum: 0
Closest approach: 8.0×10⁻⁵
Top speed: 111.8
Path length: 1024.5
Alignments per period: 438
Stability: stable (|λ|max 1.000, published)
Loop closure: 3.6×10⁻²⁴

Neighbours on the map

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