Atlas3,059 of 3,915

Broucke region HS.370

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.370 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 276.71 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 0.0000369 of each other at a top speed of 165, line up 336 times a period, and the computed loop closes to 2.9×10⁻²³.

Measured over one period

Period: 276.7094349
Masses: 1 : 1 : 1
Energy: -1.51264
Angular momentum: 0
Closest approach: 3.7×10⁻⁵
Top speed: 164.6
Path length: 703.21
Alignments per period: 336
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.9×10⁻²³

Neighbours on the map

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