Atlas3,095 of 3,942

Broucke region HS.583

From Hristov, Hristova & Tanikawa (2026)

Broucke region HS.583 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 375.26 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 0.0000251 of each other at a top speed of 2, line up 414 times a period, and the computed loop closes to 7.4×10⁻²³.

Measured over one period

Period: 375.2625350
Masses: 1 : 1 : 1
Energy: -1.41931
Angular momentum: 0
Closest approach: 2.5×10⁻⁵
Top speed: 199.6
Path length: 963.28
Alignments per period: 414
Topology: aaBAbaBAbaBBabABabAAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABabAAbaBAbaBAbbABabABaaBAbaBAbaBBabABabABaaBAbaBAbaBBabABabABaaBAbaBAbaBBabABabABaaBAbaBAbaBBabABabABaaBAbaBAbaBBabABabABaaBAbaBAbaBBabABabAB (free-group class)
Stability: stable (|λ|max 1.000, published)
Loop closure: 7.4×10⁻²³

Neighbours on the map

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