Atlas3,052 of 3,915

Broucke region HS.633

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.633 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 351.47 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 0.000201 of each other at a top speed of 70.5, line up 432 times a period, and the computed loop closes to 8.1×10⁻²⁵.

Measured over one period

Period: 351.4739193
Masses: 1 : 1 : 1
Energy: -1.52497
Angular momentum: 0
Closest approach: 2.0×10⁻⁴
Top speed: 70.48
Path length: 893.68
Alignments per period: 432
Stability: stable (|λ|max 1.000, published)
Loop closure: 8.1×10⁻²⁵

Neighbours on the map

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