Atlas3,093 of 3,942

Broucke region HS.831

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.831 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 446.42 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 0.0000000545 of each other at a top speed of 4285, line up 486 times a period, and the computed loop closes to 4.2×10⁻¹⁷.

Measured over one period

Period: 446.4245877
Masses: 1 : 1 : 1
Energy: -1.40715
Angular momentum: 0
Closest approach: 0
Top speed: 4285
Path length: 1153.2
Alignments per period: 486
Topology: 0 (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 4.2×10⁻¹⁷

Neighbours on the map

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