Atlas3,067 of 3,915

Broucke region HS.256

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.256 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 263.37 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 0.00072 of each other at a top speed of 37.3, line up 282 times a period, and the computed loop closes to 5.2×10⁻²⁵.

Measured over one period

Period: 263.3748785
Masses: 1 : 1 : 1
Energy: -1.39169
Angular momentum: 0
Closest approach: 7.2×10⁻⁴
Top speed: 37.26
Path length: 677.38
Alignments per period: 282
Stability: stable (|λ|max 1.000, published)
Loop closure: 5.2×10⁻²⁵

Neighbours on the map

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