Atlas3,087 of 3,915

Broucke region HS.949

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.949 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 481.9 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 0.00015 of each other at a top speed of 81.8, line up 516 times a period, and the computed loop closes to 1.0×10⁻²³.

Measured over one period

Period: 481.9025456
Masses: 1 : 1 : 1
Energy: -1.39167
Angular momentum: 0
Closest approach: 1.5×10⁻⁴
Top speed: 81.78
Path length: 1237.6
Alignments per period: 516
Stability: stable (|λ|max 1.000, published)
Loop closure: 1.0×10⁻²³

Neighbours on the map

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