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Broucke region HS.903

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.903 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 473.32 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 0.000417 of each other at a top speed of 49, line up 504 times a period, and the computed loop closes to 2.9×10⁻²⁴.

Measured over one period

Period: 473.3203274
Masses: 1 : 1 : 1
Energy: -1.38681
Angular momentum: 0
Closest approach: 4.2×10⁻⁴
Top speed: 48.98
Path length: 1221.4
Alignments per period: 504
Stability: stable (|λ|max 1.000, published)
Loop closure: 2.9×10⁻²⁴

Neighbours on the map

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