Atlas213 of 3,915

Broucke A9

From Broucke (1975)

Broucke A9 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 20.898 time units, published by Broucke (1975). Broucke’s 1975 family of orbits with a distant third body circling a close binary; several are linearly stable. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 1.27 of each other at a top speed of 1.08, line up 10 times a period, and the computed loop closes to 5.6×10⁻³⁰.

Measured over one period

Period: 20.89768388
Masses: 1 : 1 : 1
Energy: -0.872426
Angular momentum: 0.92551
Closest approach: 1.275
Top speed: 1.082
Path length: 45.307
Alignments per period: 10
Stability: stable (|λ|max 1.000)
Loop closure: 5.6×10⁻³⁰

Neighbours on the map

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