Atlas207 of 3,915

Broucke A1

From Broucke (1975)

Broucke A1 is a periodic orbit of the planar three-body problem: three equal masses that return to their starting positions and velocities every 6.2832 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 0.231 of each other at a top speed of 2.11, line up 2 times a period, and the computed loop closes to 9.2×10⁻²⁹.

Measured over one period

Period: 6.283210287
Masses: 1 : 1 : 1
Energy: -0.854129
Angular momentum: 1.0982
Closest approach: 0.2311
Top speed: 2.108
Path length: 11.898
Alignments per period: 2
Stability: stable (|λ|max 1.000)
Loop closure: 9.2×10⁻²⁹

Neighbours on the map

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