Atlas3,061 of 3,915

Broucke region HS.970

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.970 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 442.88 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 0.0000252 of each other at a top speed of 199, line up 522 times a period, and the computed loop closes to 1.8×10⁻²².

Measured over one period

Period: 442.8801047
Masses: 1 : 1 : 1
Energy: -1.48292
Angular momentum: 0
Closest approach: 2.5×10⁻⁵
Top speed: 199.2
Path length: 1131.3
Alignments per period: 522
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.8×10⁻²²

Neighbours on the map

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