Atlas3,065 of 3,915

Broucke region HS.742

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.742 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 438.23 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 0.00048 of each other at a top speed of 45.6, line up 462 times a period, and the computed loop closes to 2.9×10⁻²⁴.

Measured over one period

Period: 438.2272294
Masses: 1 : 1 : 1
Energy: -1.37673
Angular momentum: 0
Closest approach: 4.8×10⁻⁴
Top speed: 45.65
Path length: 1076.7
Alignments per period: 462
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.9×10⁻²⁴

Neighbours on the map

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