Atlas3,055 of 3,915

Broucke region HS.787

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.787 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 397.21 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 0.00000421 of each other at a top speed of 488, line up 474 times a period, and the computed loop closes to 6.6×10⁻²².

Measured over one period

Period: 397.2055174
Masses: 1 : 1 : 1
Energy: -1.49518
Angular momentum: 0
Closest approach: 4.2×10⁻⁶
Top speed: 487.6
Path length: 1006.6
Alignments per period: 474
Stability: stable (|λ|max 1.000, published)
Loop closure: 6.6×10⁻²²

Neighbours on the map

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